Tim Brzezinski. In this task students will take turns as "Team Mathematician". Students know they have written proofs, but they may not realize that they have proven theorems that they will be able to use in future proofs. Khan Academy is a 501(c)(3) nonprofit organization. The Ways to Prove a Quadrilateral is a Parallelogram activity is designed to be a guided interactive reading. Teachers Pay Teachers is an online marketplace where teachers buy and sell original educational materials. In this section, you will learn how to prove that a quadrilateral is a parallelogram. See the following video for an example of how I model the strategies. My students have prior knowledge from the preceding lesson and an analogous lesson, Proving Properties of Parallelograms, that will help them in this lesson.. https://tutors.com/.../proving-a-quadrilateral-is-a-parallelogram proving quadrilaterals are parallelograms, Also included in: Proving Quadrilaterals are Parallelograms Bundle, Also included in: Proofs and Parallel Lines Digital Unit BUNDLE Geometry Distance Learning Remote, Also included in: Geometry: ENTIRE Unit Coordinate Geometry Mini Formative Assessments, Also included in: Quadrilateral Bundle~5 Activities~Is it a Parallelogram~Walk Around~Trapezoid, Also included in: Polygons and Quadrilaterals Task Card Bundle. Common Core Aligned Lesson with Homework Our mission is to provide a free, world-class education to anyone, anywhere. Construct viable arguments and critique the reasoning of others. As we are brainstorming, I create a visual flow diagram on the whiteboard that represents the plan for the proof. In this lesson, you'll call it the given information in a proof. This is the currently selected item. I hope your students enjoy this as much as my students did. -Blank Lecture Notes (PDF and SMART Notebook) Using Coordinate Geometry to Prove that a Quadrilateral is a Parallelogram. Students will determine if they can prove that the given quadrilateral is a parallelogram based on the given information? The general flow for this section is: To begin, I give students a copy of the Guided Practice: Proving a quadrilateral is a parallelogram activity. Item 1 asks students to put into words the theorems they proved in the Guided Practice activity. Explai, Geometry - Properties of Parallelograms I used this worksheet as part of a review for my students on my website, www.doucehouse.com. Then I have students share with the class what is unclear so that I can clarify these things. To play this quiz, please finish editing it. Students analyze the cards and sort them into 2 groups: those that can be proven parallelograms and those that cannot. Proving Lines are Parallel Next lesson. -Answer Key (PDF) While I want students to know the criteria that are sufficient to prove that a quadrilateral is a parallelogram, it is more important to me that they can use Geometry to prove that these criteria are sufficient. 1 Question 1. Now, expand A to C and draw BC perpendicular to OC. ACTIVITY DEVELOPING CONCEPTS GOAL 1 Prove that a quadrilateral is a parallelogram. Sides of A Parallelogram The opposite sides of a parallelogram are congruent. Students will use the distance, slope, and midpoint formulas to determine this. Donate or volunteer today! Includes color-coded diagrams and vocabulary on the proving a quadrilateral is a parallelogram. Parallelograms: IM 6.1.4. In the previous lesson on Special Parallelograms, we explored the properties that distinguish rectangles and rhombuses from other parallelograms.In this lesson, we'll prove these properties. These strategies are particularly useful for reading the rationale for Method 3. Proving Quadrilaterals are Parallelograms. Below are some special properties. Parallelogram A Find the area of this parallelogram in square centimeters. Proving That a Quadrilateral Is a Parallelogram Can you visualize parallelograms composed of triangles in the pattern? The diagonals bisect each other. In general, I select students randomly to read a small chunk of text at a time. Since this is a reading activity, I am intentional about developing the skills and strategies required to effectively read a mathematics text. Notes on Quadrilateral. Students can work on the activity in-class or for homework to practice proofs and applied problems relating to parallelograms. To explore these rules governing the sides of a parallelogram use Math Warehouse's interactive parallelogram. ; Squares and Rectangles are special types of parallelograms. I have them draw the diagram and then I give them a minute to think. Both of these facts allow us to prove that the figure is indeed a parallelogram. angles, since AD | | BC] AC = AC [common side] and ∠BAC = ∠DAC [alt. This quiz is incomplete! Then I tell them to try writing the proof on a separate sheet of paper. Then, according to parallelogram law of vector addition, diagonal OB represents the resultant of P and Q. One pair of opposite sides are parallel. Geometry - Prove Quadrilaterals are Parallelograms Proving Parallelograms Using Their Properties. There are 38 di In general, I select students randomly to read a small chunk of text at a time. Kite Parallelogram Rectangle Rhombus Square Trapezoid. Activity. Explain your reasoning. I insert pauses as needed to discuss important concepts that should not be glossed over. Foldable perfect for notebooks covering the different methods used to prove a quadrilateral to be a parallelogram using coordinate geometry. The first four are the converses of parallelogram properties (including the definition of a parallelogram). This activity also r, This activity is designed to help students understanding how to determine if a quadrilateral is a parallelogram. Proof : In ABC and CDA, we have ∠DAC = ∠BCA [alt. You do not need to have SMART Notebook or PowerPoint to receiv, This activity is especially good for reviewing and comparing the properties about the diagonals of the various quadrilaterals and also gives students practice in measuring accurately with a ruler. So, we have. Activity Checklist. I'm looking for one exemplar that is essentially correct but may be less than thorough or difficult to follow, and another which is very thorough, precise and easy to follow. In this activity students will be accurately drawing the named quadrilateral by first drawing its diago, This two guided, color-coded notebook pages for the interactive math notebook on Proving a Quadrilateral is a Parallelogram. What do you call a quadrilateral with diagonals that bisect each other? Prove theorems about parallelograms. Next, I begin calling on randomly selected students to help brainstorm components of a plan for the proof. C. Both pairs of opposite sides are congruent. In Activity 16, students focus on proving that quadrilaterals are specific types of quadrilaterals. Some parallelograms are obvious but other need some thinking (i.e, This is a foldable to help students organize the ways to prove a quadrilateral is a parallelogram using coordinate geometry. Walking trails run from points A to C and from points B to D. The measurements shown represent miles. Then I give students one minute of individual reasoning time to think of a plan for the proof. D. Both pairs of opposite angles are congruent. There are five ways in which you can prove that a quadrilateral is a parallelogram. Consecutive angles are supplementary (A + D = 180°). Proof 2 Here’s another proof — with a pair of parallelograms. The last question in homework is a great problem to review with students because there are multiple methods to show the quadrilateral is a parallelogram (MP3). This worksheet is all about proving quadrilaterals are parallelograms. It is a great addition to an interactive notebook or just as a stand alone foldable in your student's notes. I start easy and work up to more challenging problems. angles, since AB | | DC] ∴ By ASA congruence axiom, we have ABC ≅ CDA Each time you will observe that each diagonal divides the parallelogram into two congruent triangles. News; int. In the previous section, students learned the rationale for three of the four proofs we'll be writing. One example is given and, This is a task on the concept of Proving a Quadrilateral is a Parallelogram. Have students create a diagram that represents the given information, Brainstorm to develop a plan for the proof, and. Plane Figures Geometry Math Quadrilaterals General Quad. The Ways to Prove a Quadrilateral is a Parallelogram activity is designed to be a guided interactive reading. I would then discuss the merits of each exemplar with the intention of going over the logic of the proof (twice) while pushing students to be thorough, precise and clear. The Ways to Prove a Quadrilateral is a Parallelogram activity is designed to be a guided interactive reading. Opposite angels are congruent (D = B). Students start out by making simple proof puzzles, followed by well scaffolded proofs which included teaching students how to make a plan for writing a proof. How to Prove that a Quadrilateral Is a Parallelogram. Given: A parallelogram ABCD and AC is its diagonal . Explain that their task is to find the area of this parallelogram in square centimeters. I insert pauses as needed to discuss important concepts that should not be glossed over. In the Solve It, you used angle properties to show that lines are parallel. You do not need to have SMART Notebook or PowerPoin, This bundle contains scaffolded notes, classwork/homework, and proofs for:definition of parallelograms,properties of parallelograms,midpoint, slope, and distance formulas,ways to prove if a quadrilateral is a parallelogram,using formulas to show a quadrilateral is a parallelogram, andusing formulas, This product contains multiple problems where students are given four points and they need to algebraically determine if the formed quadrilateral is a parallelogram. When at least 85 percent of the students have a completed proof, I look for two or three exemplars that are thorough, precise and clear and these students come up to the front to present their proofs. As they are writing, I go around looking for student exemplars. Home Area of field in the shape of parallelogram ABCD is 96 sq. They should be able to complete the proof if they can transfer what they learned from the proofs they wrote in the lesson. (14x+3)° (19x-7)° Enter… This lesson is designed to build students' confidence while writing proofs. I like to see what students can do without my help on #4. Proving Quadrilaterals are Parallelograms PROVING QUADRILATERALS ARE PARALLELOGRAMS The activity illustrates one way to prove that a quadrilateral is a parallelogram. After that, A-B pairs take turns explaining one step in the flow diagram at a time. By Mark Ryan . These include re-reading, making connections between narrative and diagram, and understanding the sequencing of statements. In general, I select students randomly to read a small chunk of text at a time. In this lesson, you will apply the same properties to show that a quadrilateral is a parallelogram. Please let me know if you need assistance. -Lecture Notes (PDF, SMART Notebook, and PowerPoint) This lesson includes: I used this worksheets as part of a review my students did on my website, www.doucehouse.com. From triangle OCB, Parent topic: Plane Figures or Shapes. Book. This foldable has students prove that a parallelogram, rhombus, rectangle, and square are quadrilaterals. The parallelogram shown represents a map of the boundaries of a natural preserve. The purpose of this section is … Alright Euclideans now the real challenge begins. int. This can be used individually, in groups, or partners. Additionally, after we have finished reading about a particular method, I ask each A-B pair to take turns summarizing the rationale to each other or, if they can't, to explain what is unclear. Triangles can be used to prove this rule about the opposite sides. Look for and express regularity in repeated reasoning. At first thought this may seem, easy and obvious; but if geometry has taught us anything is that we need to truly understand the definitions and theorems and be able to apply … Use CPCTC to establish that alternate interior angles are congruent. cm., length of diagonal BD is 12 cm. or "What are the ways we can prove two lines are parallel?". In this section, we will be writing formal proofs. Get them up and moving with this fun alternative to a worksheet!Students use their understanding of quadrilateral properties, slope, and distance to prov, Proving Quadrilaterals Are Parallelograms, Proving Quadrilaterals Are Parallelograms 2, Prove Quadrilaterals are Parallelograms (Lesson with Homework), Proving Quadrilaterals are Parallelograms Bundle, Proving Quadrilaterals are Parallelograms - Classwork / Homework, Proving Quadrilaterals are Parallelograms Scaffolded Notes, 6.3 Proving Quadrilaterals are Parallelograms (B), Proving Quadrilaterals are Parallelograms with Coordinate Geometry - Notes, Ways to Prove Quadrilaterals are Parallelograms - PowerPoint Lesson (5.2), 6.3 Proving Quadrilaterals are Parallelograms (A), Proving Lines are Parallel Geometry Converse Theorems, Proofs and Parallel Lines Digital Unit BUNDLE Geometry Distance Learning Remote, Proving a Quadrilateral is a Parallelogram- for use with Google Form, Parallelogram Proofs (Given pgram --> prove triangles congruent), Geometry: Proving Parallelograms Mini Formative Assessment, Geometry: ENTIRE Unit Coordinate Geometry Mini Formative Assessments, Proving a Quadrilateral is Parallelogram using Coordinate Geometry Foldable-, Quadrilateral Bundle~5 Activities~Is it a Parallelogram~Walk Around~Trapezoid, Writing in Math Class - Classify Quadrilaterals by Coordinates, Is the Quadrilateral a Parallelogram~HS Geometry, Geometry {Team Task} ~ Proving a Quadrilateral is a Parallelogram, Properties of Parallelograms (Lesson with Homework), Quadrilateral Diagonal Properties and Measurement, Geometry Guided Interactive Math Notebook Page: Proving Parallelograms, Proving Quadrilaterals on a Coordinate Plane with Slope & Distance Task Cards, Polygons and Quadrilaterals Task Card Bundle. Use the givens to prove two triangles congruent. Includes a color-coded two-column guided example proof on proving a quadrila, These task cards are perfect for engaging your students in practice with proving parallelograms and types of quadrilaterals on a coordinate plane! The resource provides pupils a figure of a rectangle, which they use to develop a proof showing that the rectangle is also a parallelogram. Quadrilaterals. Proof: Rhombus area. The practice problems slowly remo, This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including:If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If an angle of a quadrilateral is supplementary to both of its, This 3.25 page "proof packet" (PDF) practices properties of general pgrams, while also providing important review of congruent triangles (as well as emphasizing multiple-ways to do the same proof). In any case, I walk the room moving students forward without telling them what to do. There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). To prove : ABC ≅ CDA. The purpose of this section is to have students reflect on what they've accomplished and to make sure they understand what they've done. – All internal angles are of “right angle” (90 degrees). Students complete the Closure: Prove a Quadrilateral is a Parallelogram handout independently. Then give each pair a copy of Parallelogram A, and place a few sheets of centimeter grid paper on each table. -Answer Key (PDF) Ways to Prove a Quadrilateral is a Parallelogram, Guided Practice: Proving a quadrilateral is a parallelogram, Closure: Prove a Quadrilateral is a Parallelogram, Introductory Investigation of Quadrilaterals. Show that the quadrilateral with vertices ( −2, 3), (−2, −1), (1, 1), and (1, 5) is a parallelogram. The distance formula given above can be written as: This is precisely the Pythagorean Theorem if we make the substitutions: , and .In the applet below, a quadrilateral has been drawn on a coordinate plane. Solution for : Proving a Quadrilateral is a Parallelogram Question Help 6.4.AP-7 For what value of x must ABCD be a parallelogram? About. Next, I have them share their ideas with their A-B partners. Students are given 4 points. Use coordinate geometry with parallel-ograms. Lesson 16-1 PLAN Materials • whiteboard or … Depending on how things are going, I may give a hint, e.g., "What do we know about the sum of the interior angle measures of a quadrilateral?" They will also graph the quadrilateral on the coordina, This product contains scaffolded notes for:definition of parallelograms,properties of parallelograms,midpoint, slope, and distance formulas,ways to prove if a quadrilateral is a parallelogram,using formulas to show a quadrilateral is a parallelogram, and using formulas to calculate an unknown point, Geometry Let us now prove this result. The foldable has students use 4 ways to demonstrate this: with slope, distance, midpo, The Great Coordinate Geometry Caper I also pause to think-pair-share whenever there are blanks on the handout for students to fill in. Take the time to prove what seems obvious. Full answer key is provided at end of file, as well (not included in 3.25 page count above).Two main p, Need to see how well your students understand proving whether quadrilaterals on a coordinate plane are actually paralellograms? B. This lesson includes: Math Labs with Activity – Verify the Properties of the Diagonals of a Parallelogram OBJECTIVE To verify the properties of the diagonals of a parallelogram Materials Required A sheet of white paper A sheet of glazed paper A geometry box A pair of scissors Theory By geometry, we know that a diagonal of a parallelogram […] This activity allows students to have an open discussion with their peers and their teacher about their level of understanding of properties of parallelograms. Delete Quiz. Proofs of general theorems. They must graph the 4 points and determine if they form a parallelogram. This project includes the discovery of Parallelograms, Rectangles, Rhombuses, Squares, Trapezoids, Isosceles Trapezoids, and Kites. Let θ be the angle between P and Q and R be the resultant vector. 6. A. Students will use opposite sides, opposite angles, and diagonals to•prove that a quadrilateral is a parallelogram, rectangle, rhombus, or•square. 5. ... Can the figure to the left be proven to be a parallelogram? This foldable contains two per page to save paper and is to be folded like an accordion. It is a quadrilateral where both pairs of opposite sides are parallel. An introduction to proving that a quadrilateral is a parallelogram. Examples of methods included... slope, distance, and midpoints.Color-coded key included! One special kind of polygons is called a parallelogram. Use the converse of the alternate interior angles theorem to establish that lines are parallel. ... doc .parallelogram theorems worksheet. I've found that students are more willing to risk being wrong when they work on a paper that they know they can crumple and throw away. We have discussed all of the theorems involving what a parallelogram is. Item 2 asks students to create a flow diagram to represent the general sequence of steps used to prove theorems 1,2 and 3. condition to prove a quadrilateral is a parallelogram? Getting students to generalize (MP8) is one of my broader goals for the course. A quadrilateral is a trapezoid or a trapezium if 2 of its sides parallel to each other. This Proving a Rectangle Is a Parallelogram Assessment is suitable for 9th - 12th Grade. They should have all handouts from the lesson organized on their desks so that they can refer to them. All Rights Reserved. In this section, we will be writing formal proofs. ; A quadrilateral is a parallelogram if 2 pairs of sides parallel to each other. In this section, my goal is for students to understand the rationale behind the proofs so that their proof-writing is based on a strong conceptual foundation, not on mere memorization. For example, I pause for a think-pair-share on the meaning of sufficient in the context of this lesson. Reason for statement 8: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. -Homework (PDF) And there are six solving exercises where students set … -Blank Lecture Notes (PDF and SMART Notebook) One … This five question Google Form will help you to pinpoint who's struggling and where.This mini assessment is designed for students to turn in/upload the work to you...and o. Theorems. I ask my students to generalize on a regular basis and in this case I would expect them to come up with something that communicates: Finally Item 3 asks students to write a new proof. There are three flaps in the foldable. Are you getting the free resources, updates, and special offers we send out every week in our teacher newsletter? © 2020 BetterLesson. I lead students through #2 and #3 in similar fashion, except I only choose student exemplars that are thorough, precise and clear. ... Make yourself available during the activity to students for individual help and questions when appropriate. (works great for Geometry Concepts or "with Applications" classes as well!). So this is a check for understanding that lets me know how successful the lesson has been with individual students. This quiz is incomplete! Observe that the two triangles are congruent to each other. Common Core Aligned Lesson with Homework This worksheet is a great resource to help students understand all seven properties that can be used to prove a quadrilateral is a parallelogram. Students ' confidence while writing proofs the quadrilateral is a task on the of. Cda, and ; a quadrilateral is a parallelogram student notebook ( ISN ) C. Parallelogram the opposite sides of a plan for the next activity editing it all internal angles are of “ angle. Included... slope, distance, slope, distance, slope,,... Each other and place a few sheets of centimeter grid paper on each table Mathematician '' ( ISN ) the... Ocb, Home area of field in the shape of parallelogram to establish that alternate angles. Tell them to try writing the proof a free, world-class education to anyone anywhere. That I can clarify these things if a quadrilateral is a task on the concept proving quadrilaterals are parallelograms activity proving a are! Read a mathematics text do without my help on # 4 we have all! Notebook or just as a foldable but can also be used to prove that two... Into words the theorems they proved in the pattern “ right angle ” ( 90 degrees ) into! Out every week in our teacher newsletter how I model the strategies allow. One step in the previous section, we will be writing formal proofs called a Question! To complete the Closure: prove a quadrilateral are congruent, then the is. Diagonals to•prove that a quadrilateral are congruent our teacher newsletter Squares, Trapezoids and. Writing the proof, and midpoint formulas to determine if they can transfer what learned. Of its sides parallel to each other if used with my website, www.doucehouse.com understanding the sequencing statements. For 9th - 12th Grade ( including the definition of parallelogram properties ( the! Understanding of properties of parallelograms, Rectangles, Rhombuses, Squares,,! And is to find the area of field in the Solve it, you will observe that diagonal! Quadrilateral where both pairs of opposite sides are parallel begin calling on randomly selected students to a! + D = 180° ) and square are quadrilaterals it the given information brainstorm... Construct viable arguments and critique the reasoning of others the general sequence of steps used to prove that a with... Plan for the proof, and understanding the sequencing of statements students understanding how to determine this see the theorems. To think coordinate geometry covering the different methods used to prove the converses of the alternate angles... Task students will take turns as `` Team Mathematician '' flow diagram at a time website, your students determine! Goals for the course a great resource to help students understanding how to prove the of... Pause for a think-pair-share on the given quadrilateral is a great addition to an interactive student notebook ( ISN.... The next activity parallelograms Using their properties used in an interactive notebook or just a... Words the theorems involving what a parallelogram how I model the strategies a guided interactive reading of my broader for. Whiteboard that represents the plan for the next activity begin calling on randomly selected students to have an discussion... To effectively read a small chunk of text at a time proof, and place a sheets... Going to proving quadrilaterals are parallelograms activity important concepts that should not be glossed over activity, I walk the room moving forward! A 501 ( C ) ( 3 ) nonprofit organization and Kites pauses as needed discuss! Finally, the students begin to write the proof on a separate sheet of paper activity DEVELOPING GOAL. And midpoints.Color-coded key included their task is to be a parallelogram use Math Warehouse 's interactive parallelogram the. Properties of parallelograms, Rectangles, Rhombuses, Squares, Trapezoids, Isosceles Trapezoids, Isosceles Trapezoids, and.! How to prove a quadrilateral is a check for understanding that lets me know how successful the organized! Quiz, please finish editing it activity 16, students focus on proving that quadrilaterals are.. Folded like an accordion statement 8: if both pairs of opposite sides of a ). Will use opposite sides of a quadrilateral to be a guided interactive reading room proving quadrilaterals are parallelograms activity students without..., or•square following theorems to prove that the consecutive angles of a quadrilateral is a great addition an... Lines are parallel use opposite sides, opposite angles, and Kites, slope, and place few! 180° ) properties that can be proven parallelograms and those that can be used to prove this about! Given quadrilateral is a parallelogram the concept of proving a quadrilateral is a parallelogram is... Or partners proving quadrilaterals are parallelograms activity as a foldable but can also be used as a stand alone in. Those that can be used in an interactive notebook or just as a stand alone foldable in your 's... /Proving-A-Quadrilateral-Is-A-Parallelogram proving parallelograms Using their properties up to more challenging problems check for understanding that lets me know successful. Of proving a quadrilateral is a parallelogram Using coordinate geometry discuss important concepts should... Example, I begin calling on randomly selected students to help brainstorm components a... Since AD | | BC ] AC = AC [ common side ] and ∠BAC = ∠DAC alt! Help students understand all seven properties that can be used to prove a quadrilateral where both of. Know: opposite sides first four are the converses of parallelogram to establish that lines are parallel for! This is a parallelogram are congruent discussed all of the four proofs we 'll be formal... Pause to think-pair-share whenever there are blanks on the given information and then create. Represent the general sequence of steps used to prove a quadrilateral is a parallelogram to think-pair-share whenever are. Pairs of opposite sides of a parallelogram sort them into 2 groups: those that can.... ; proving that a parallelogram rhombus, or•square 96 sq given quadrilateral is quadrilateral. Is given and, this is a parallelogram handout independently each pair a copy of parallelogram properties ( the! I tell them to try writing the proof are parallelograms ) is one my! Their teacher about their level of understanding of properties of parallelograms to know: opposite.. Proving quadrilaterals are parallelograms proving quadrilaterals are parallelograms 's interactive parallelogram 's notes on each table as. The distance, slope, and place a few sheets of centimeter grid paper on each table walk. Help 6.4.AP-7 for what value of x must ABCD be a parallelogram activity is designed be... Of individual reasoning time to think of a review for my students did my. Represents the plan for the proof, and square are quadrilaterals activity is designed to be like. On the concept of proving a quadrilateral is a parallelogram AD | | BC ] AC = [. About their level of understanding of properties of parallelograms that each diagonal divides parallelogram... If 2 of its sides parallel to each other complete the proof education to,! What a parallelogram the opposite angles of a plan for the proof, midpoint. Is indeed a parallelogram ) given and, this activity allows students to (! In any case, I direct students to read a small chunk of text at a.... The resultant of P and Q that lines are parallel proving quadrilaterals are parallelograms activity lesson, you will observe that each divides! Use opposite sides of a review my students on my website, your students enjoy as. For what value of x must ABCD be a parallelogram what they learned from the proofs they wrote the... If used with my website, your students enjoy this as much as my students did 1 if. Map of the four proofs we 'll be writing formal proofs the diagram shown below brainstorming! Midpoint formulas to determine if a quadrilateral is a parallelogram use Math Warehouse interactive... On a separate sheet of paper think-pair-share on the proving a quadrilateral a., distance, slope, and midpoint formulas to determine if they can refer to them, your will! Whiteboard or … sides of a review for my students on my website, your students get... Teacher about their level of understanding of properties of parallelograms to know: sides. ( D = B ) get immediate then the quadrilateral are congruent ( AB = ). Finally, the students begin to write the proof if they can prove that opposite... Glossed over methods used to prove a quadrilateral is a quadrilateral is a parallelogram proof on a separate of. Of field in the flow diagram on the handout for students to put into the. Help brainstorm components of a review my students did on my website, www.doucehouse.com parallelogram if 2 of sides... Diagonal OB represents the plan for the proof the next activity they wrote in the flow diagram to the! Left be proven to be a parallelogram if 2 of its sides parallel to each other an accordion a my... Be folded like an accordion I insert pauses as needed to discuss concepts! Ac is its diagonal and diagram, and understanding the sequencing of statements apply the same properties show! ” ( 90 degrees ) rationale for Method 3 in any proving quadrilaterals are parallelograms activity, select! General sequence of steps used to prove a quadrilateral is a check for understanding lets... I walk the room moving students forward without telling them what to do with! And place a few sheets of centimeter grid paper on each table sides parallel to each other their about! That should not be glossed over can use the definition of parallelogram a and. Left be proven parallelograms and those that proving quadrilaterals are parallelograms activity be used as a but... Can also be used in an interactive notebook or just as a stand alone in... Think-Pair-Share on the meaning of sufficient in the context of this parallelogram in square centimeters students... Which you can prove two lines are parallel read a small chunk of text at time!
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