Notes 6-2 properties of parallelograms

Notes 6-2: Properties of Parallelograms Objectives: 1. Prove and apply properties of parallelograms. 2. Use properties of parallelograms to solve problems. A parallelogram is a quadrilateral with _____ pairs of _____ sides. All parallelograms, such as FGHJ, have the following properties. Properties of Parallelograms

There are six important properties of parallelograms to know: Opposite sides are congruent (AB = DC). Opposite angels are congruent (D = B). Consecutive angles are supplementary (A + D = 180°). If one angle is right, then all angles are right. The diagonals of a parallelogram bisect each other. Each diagonal of a parallelogram separates it ...Explore printable properties of parallelograms worksheets. Properties of parallelograms worksheets are essential tools for teachers who aim to provide their students with a comprehensive understanding of Math and Geometry. These worksheets cover various aspects of parallelograms, such as calculating angles, side lengths, and areas, as well …2) kl nm 30 ° 35 ° 20x - 5 6 3) qr ts 38 ° 77 ° 64x + 1 1 4) mn lk 60x 35 ° 85 ° 1 5) dm = 19 mf = 8x + 3 c de f m 2 6) km = 38 vm = 3x - 2 j kl m v 7 7) zu = 24 su = 8x sr tu z 6 8) uf = 13 fw = 2x - 7 t vu w f 10 9) lk mn 3x + 4 71 ° 87 ° 6 10) t vu w 43 ° 11x - 3 85 ° 5Properties of parallelogram are as follows: · the opposite sides are equal; · the opposite angles are equal; · diagonals bisect each other.A proof of Theorem 6-2 uses the consecutive angles of a parallelogram, and the fact that supplements of the same angle are congruent. Plan for Proof of Theorem 6-2 Given: $MNPQ Prove: &M > &P and &N > &Q Plan: &M > &P if they are supplements of the same angle, &N. Each is a supplement of &N because same side interior angles are supplementary.

6.2 – Parallelograms A parallelogram is a quadrilateral with both pairs of opposite sides parallel. ... Theorem Properties of Parallelograms 6.3 If a quadrilateral is a parallelogram, then its opposite sides ... 6.2 Parallelograms (NOTES)Parallelograms-notes€¦ · Properties of Parallelograms Theorem 6-2-1 If aquadiilateralÂs a then opposite sidéš arexongruent Properties of Parallelograms Theorems is i, parallelogram, 5.5 Properties of Special Parallelograms - Prek 12 · Properties of Special Parallelograms ... some properties of rhombuses, rectangles, and squares. ...Draw the 2 diagonals, labelling the point of intersection as E. Now use a •. Using a protractor, measure all 4 angles. Using a ruler, measure the lengths of all 4 sides. Square 8. Rectangle 7. They share one common side. 6. = Angles next to each other in a quadrilateral.Trapezoids and Parallelograms. LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. EDITABLE LESSON. EDITABLE KEY. Lesson 2 Properties of Parallelograms. LESSON/HOMEWORK. LESSON VIDEO. ANSWER KEY. ... property or other metadata. Please don’t try to hack our validation system, or ask anyone else to try to get around it. …Properties of Parallelograms: If a quadrilateral is a parallelogram, then: *Its opposite sides are congruent. *Its opposite angles are congruent. *Its consecutive angles are supplementary. *Its diagonals bisect each other. Ways to Prove a Quadrilateral is a Parallelogram. Show BOTHpairs of opposite sides of a quadrilateral are congruent.Geometry Worksheet 6.2 - Parallelograms Name_____ Choose a word from the word bank to complete each sentence. Words will be used more than once. ... 6.2 Properties of Parallelograms. Geometry Notes 6-3 Conditions for Parallelograms In Section 6. Geometry Fall 2011 Lesson 17 (S.A.S. Postulate) Objectives: G.CO.11: Prove theorems about parallelograms. For the Board: You will be able to derive and use the properties of parallelograms. Anticipatory Set: Definition A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Geogebra Activity 6.2 Instruction: State the 5 properties of a parallelogram. 1.

Sections 6.2 & 6.3 Properties of Parallelograms Notes In this lesson you will use properties of parallelograms. prove that a quadrilateral is a parallelogram. A _____ is a quadrilateral with both pairs of opposite sides parallel. Theorem about Parallelograms Description Diagram/Picture Important CharacteristicsQuadrilaterals - Properties of Parallelograms Riddle Worksheet This is a 15 question worksheet that asks students to apply the properties of parallelograms to solve problems. Students are asked to solve problems about the angles, sides and diagonals of Parallelograms.Students set-up a problem that applies a property of a specific …Sections 6.2 & 6.3 Properties of Parallelograms Notes In this lesson you will use properties of parallelograms. prove that a quadrilateral is a parallelogram. A _____ is a quadrilateral with both pairs of opposite sides parallel. Theorem about Parallelograms Description Diagram/Picture Important Characteristics6-2 Properties of Parallelograms Warm Up Lesson Presentation Lesson Quiz Holt Geometry – A free PowerPoint PPT presentation (displayed as an HTML5 slide show) on PowerShow.com - id: 7fd6cf-NDgzN ... Use Properties of Parallelograms - Chapter 8.2 Notes: Use Properties of Parallelograms Goal: You will find angle and side measures …6-5: Properties of Special Parallelograms Date: Objective: I can use the properties of rhombuses, rectangles, and squares to solve problems. Do "Explore and Reason" and Habits of Mind in your student companio page 1 3. EXPLORE & REASON Consider these three figures. Figure 1 Fl ure2 0 X mosikzs Figure 3 A.Sections 6.2 & 6.3 Properties of Parallelograms Notes In this lesson you will use properties of parallelograms. prove that a quadrilateral is a parallelogram. A _____ is a quadrilateral with both pairs of opposite sides parallel. Theorem about Parallelograms Description Diagram/Picture Important Characteristics

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Example 2. Find the area of this parallelogram with a base of 15 centimeters and a height of 6 centimeters. Solution: A = b × h. A = (15 cm) × (6 cm) A = 90 cm 2. Example 3. Two adjacent sides of a parallelogram are 5 cm and 3 cm. Find its perimeter. Solution: We know that opposite sides of a parallelogram are equal. Suppose we have a ...6.2 notes properties of parallelograms. Flashcards; Learn; ... Notes Exam 2: (Section 1.5-1.7) ... what theorem is used to prove which angles are supplements in ...DIGITAL. 380. 70. °. The Venn diagram below illustrates some important relationships among parallelograms, rhombuses, rectangles, and squares. For example, you can see that a square is a rhombus because it is a parallelogram with four congruent sides. Because it has four right angles, a square is also a rectangle.The three different parallelograms are square, rectangle, and rhombus which are different from each other because of their properties yet they all come under the category of parallelograms. Properties of a Square. All four sides of a square are equal. All four angles are equal and of 90 degrees each. The diagonals of a square bisect its angles.

Slide 1. 6-2 Properties of Parallelograms. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Warm Up. Find the value of each variable. x. 2 2. y 4. 3. z 18. Objectives. Prove and apply properties of parallelograms. Use properties of parallelograms to solve problems. Vocabulary. parallelogram.can discover some additional properties. Investigation 6-2: Properties of Parallelograms Tools Needed: Paper, pencil, ruler, protractor 1.Draw a set of parallel lines by placing your ruler on the paper and drawing a line on either side of it. Make your lines 3 inches long. 2.Rotate the ruler and repeat this so that you have a parallelogram.U1 Day 12 - Properties of Parallelograms •A parallelogram is a quadrilateral with both pairs of opposite sides parallel. •In a quadrilateral, opposite sides do not share a vertex and opposite angles do not share a side.SUMMARY PROPERTIES OF PARALLELOGRAMS. Definition of parallelogram, p. 310. If a quadrilateral is a parallelogram, then both pairs of opposite sides are parallel. Theorem 6.2, p. 310. If a quadrilateral is a parallelogram, then its opposite sides are congruent. Theorem 6.3, p. 311.If a quadrilateral is a parallelogram, then its opposite angles are congruent. Theorem 6-6.Terms in this set (4) Start studying 6-2 properties of parallelograms. Learn vocabulary, terms, and more with flashcards, games, and other study tools.3. a. Find the values of x and yin EPQRS at the right. What are PR and SQ? 2. Use the diagram at the right. Given: DABCD, MK Prove: LBCD LCMDWhen you need to remember what’s been said, notes help you achieve this goal. To use your notes later, make sure you organize and structure the information carefully. Whether you’r... 2) Both pairs of opposite sides are congruent. 3) Both pairs of opposite angles are congruent. 4) One pair of opposite sides is both parallel AND congruent. 5) An angle is supplementary to both of its consecutive angles. 6) Both diagonals bisect each other. Ex. 1: Determine if each of the following must be a parallelogram. Welcome Parallelogram Experts! Take out the following: (1) Whiteboard and Whiteboard Pen (2) “Discovering Properties of Parallelograms” from Friday Tonight’s Homework Pg. 395 #1-14, 22,24, 33-43 odd Remember: Quiz on Tuesday: 6.1, 6.2, 1.6 and 3.5 of your textbook There is no parent signature sheet for the short week.

Notes 6-2: Properties of Parallelograms Objectives: 1. Prove and apply properties of parallelograms. 2. Use properties of parallelograms to solve problems. A parallelogram is a quadrilateral with _____ pairs of _____ sides. All parallelograms, such as FGHJ, have the following properties. Properties of Parallelograms

Section 5.2 Parallelogram Properties. G.3.2: Describe, classify, and explain relationships among the quadrilaterals square, rectangle, rhombus, parallelogram, trapezoid, and kite; G.3.4: Determine the sum of both the interior and exterior angle measures of a polygon. Writing a thank you note is a great way to show your appreciation for someone’s kindness or generosity. Whether it’s for a gift, an act of kindness, or simply for being there, expr...Mark opposite angles as congruent. Draw diagonal 𝐵𝐷. Label the measures of ∠𝐴 and ∠𝐶 as 𝑥°. Label the measures of the four angles created by 𝐵𝐷 as 𝑟°, 𝑠°, 𝑡°, and 𝑢°. Example 5. If the opposite sides of a quadrilateral are equal, then the quadrilateral is a parallelogram.properties of parallelograms. Use properties of parallelograms in real-life situations, such as the drafting table shown in Example 6. You can use properties of parallelograms to understand how a scissors lift works in Exs. 51–54. Why you should learn it GOAL 2 GOAL 1 What you should learn 6.2 q P R S THEOREM 6.2 If a quadrilateral is a ...6-2 Properties of Parallelograms A quadrilateral with two pairs of parallel sides is a _____________. You can use the symbol to represent the word parallelogram.opposite sides are parallel. What does a Parallelogram look like? T S. -It has 4 vertices. -It has 4 angles. -It has 4 sides.Properties of Parallelograms A gurney is a wheeled cot or stretcher used in hospitals. Many gurneys are made so that the base will fold up for ... LESSON 6-2 Practice A 1. …6-5: Properties of Special Parallelograms Date: Objective: I can use the properties of rhombuses, rectangles, and squares to solve problems. Do "Explore and Reason" and Habits of Mind in your student companio page 1 3. EXPLORE & REASON Consider these three figures. Figure 1 Fl ure2 0 X mosikzs Figure 3 A.Properties of a Parallelogram. ★ Two pairs of opposite congruent sides. ★ Two pairs of opposite congruent angles. ★ Diagonals bisect each other. ★ Adjacent angles are supplementary meaning they sum to \bf {180^ {\circ}} 180∘. ★ One diagonal divides the parallelogram into two congruent triangles.

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Everyone has seen shapes with four sides, but parallelograms are a bit special. They stand out because their opposite sides are always parallel to each other. But that's not all that makes them interesting. In this guide, we're going to take a closer look at parallelograms, diving into their unique features and properties.Click to view Despite the wealth of information a Google search box puts at our fingertips, good old-fashioned note-taking is still one of the best ways to build a personal knowled...Quiz Over Properties Of Parallelograms. 1. B. All rectangles are quadrilaterals. The statement "All rectangles are quadrilaterals" is true because a rectangle is a type of quadrilateral that has four sides and four angles. A quadrilateral is a polygon with four sides. Since a rectangle satisfies the definition of a quadrilateral, it can be ...Properties 1. All properties of a parallelogram. 2. All sides are equal. 3. Diagonals are ┴. 4. Diagonal bisect opposite angles. Theorems (Ways to Prove) 1. If it has 4 sides, then it is a Rhombus. 2. If the diagonals are ┴, then it is a Rhombus. 3. If the diagonal bisects each pair of opposite angles, then it is a Rhombus. RhombusSide and angle properties of a parallelogram (level 2) Get 3 of 4 questions to level up! Diagonal properties of parallelogram Get 3 of 4 questions to level up! Conditions for parallelograms. ... Properties of special parallelograms. Learn. Intro to quadrilateral (Opens a modal) Right angles in shapes (informal definition) (Opens a modal)(9b 2) o 8a — 4 Theorems Properties of Parallelograms CONCLUSION 6-2-2 6-2-3 6-2-4 THEOREM If a quadrilateral is a parallelogram, then its opposite angles are congruent. opp. K If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. -4 cons. supp.) If a quadrilateral is a parallelogram, then its diagonals bisect each19. 20. Find the length of in each parallelogram. 21. 22. OR=IO23. TR=14,ME=3124. IE=6,GT=8 RT G E I TM R E I TR IO. 40.Geometry Notes - flashcards. 5 terms. Rebecca_Flowers. Preview. unit 1 geomotry. 26 terms. lovep1305. Preview. List seven vocab ... Properties of Parallelograms #1. Opposite sides are parallel. Properties of Parallelograms #2. Opposite sides are congruent. Properties of Parallelograms #3. Opposite angles are congruent. Properties of ...Objective: To use relationships to prove quadrilaterals are parallelograms. Ways to Prove a Quadrilateral is a Parallelogram Ex. 1 How can you show that the quadrilateral is a parallelogram? Geometry: Common Core (15th Edition) answers to Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Practice and Problem-Solving Exercises - Page 364 21 including work step by step written by community members like you. Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0-13328-115-6, Publisher: Prentice Hall ….

U1 Day 12 - Properties of Parallelograms •A parallelogram is a quadrilateral with both pairs of opposite sides parallel. •In a quadrilateral, opposite sides do not share a vertex and opposite angles do not share a side.Mark opposite angles as congruent. Draw diagonal 𝐵𝐷. Label the measures of ∠𝐴 and ∠𝐶 as 𝑥°. Label the measures of the four angles created by 𝐵𝐷 as 𝑟°, 𝑠°, 𝑡°, and 𝑢°. Example 5. If the opposite sides of a quadrilateral are equal, then the quadrilateral is a parallelogram.However, we have assumed other details about parallelograms to be true too. We assume that: Opposite sides are congruent. Opposite angles are congruent. Diagonals bisect each other . Let us examine why each of these properties is true. Lesson 28 : Properties of Parallelograms. Date: 10/10/14. 223. 6-2 Properties of Parallelograms 6.2.1: Prove and apply properties of parallelograms. 6.2.2: Use properties of parallelograms to solve problems. 6.2.2: Use properties of parallelograms in proofs. LEARNING GOALS – LESSON 6.2 Opposite sides of a quadrilateral do not share a vertex. Opposite angles do not share a side. Helpful Hint 6-2 Properties of Parallelograms. of parallelograms. angles, and diagonals . Use relationships among sides, Objective. 62 Properties of Parallelograms. Attachment. 61 …6-2 Reteach Properties of Parallelograms A parallelogram is a quadrilateral with two pairs of parallel sides. All parallelograms, such as FGHJ, have the following properties. '(&* ^&'(* Properties of Parallelograms _ FG _ _ HJ GH _ JF Opposite sides are congruent. F H G J Opposite angles are congruent. m F mSo by SAS, G 180°Mark opposite angles as congruent. Draw diagonal 𝐵𝐷. Label the measures of ∠𝐴 and ∠𝐶 as 𝑥°. Label the measures of the four angles created by 𝐵𝐷 as 𝑟°, 𝑠°, 𝑡°, and 𝑢°. Example 5. If the opposite sides of a quadrilateral are equal, then the quadrilateral is a parallelogram.There are several ways to tell. Conditions for Parallelograms A quadrilateral is a parallelogram if: 1) Both pairs of opposite sides are parallel (remember this ...Properties of Parallelograms A gurney is a wheeled cot or stretcher used in hospitals. Many gurneys are made so that the base will fold up for ... LESSON 6-2 Practice A 1. … Notes 6-2 properties of parallelograms, 6.2 Properties of Parallelograms OBJECTIVE: To discover properties of parallelograms Use parallel lines (If lines are parallel, same-side interior angles are _____ ) to find the missing angles in the parallelogram below: C-28: The consecutive angles in a parallelogram are _____., Writing a thank you note is a great way to show your appreciation for someone’s kindness or generosity. Whether it’s for a gift, an act of kindness, or simply for being there, expr..., 372 Chapter 7 Quadrilaterals and Other Polygons 7.2 Lesson WWhat You Will Learnhat You Will Learn Use properties to fi nd side lengths and angles of parallelograms. Use parallelograms in the coordinate plane. , Properties of parallelograms worksheets for Grade 9 are essential resources for teachers looking to enhance their students' understanding of geometry concepts in Math. These worksheets provide a variety of exercises and problems that challenge students to apply their knowledge of parallelograms, including their angles, sides, and diagonals., 7.2 Properties Of Parallelograms Answers - Acscu.net. 1) All the properties of a parallelogram. 2) Diagonals are equal. 3) Each of the angles is a right angle. Rhombus: 1) All the properties of a parallelogram. 2) All sides are of equal length. 3) Diagonals are perpendicular bisectors of each other., ©E 62h081 y0o GKJudt 1ap xSMoRfstBwCa qrSe z 3LXLiC m.k s hA ul zl M wr Yi Ig chpt 7sM Urne Vs7eSrav0e Jd 2.w n VMdaCdqe F YweigtIh K pI Cn2f Li6nyiAtde B 3GLero m0e lt BrEyb.K Worksheet by Kuta Software LLC Kuta Software - Infinite Geometry Name_____ Properties of Parallelograms Date_____ Period____, U1 Day 12 - Properties of Parallelograms •A parallelogram is a quadrilateral with both pairs of opposite sides parallel. •In a quadrilateral, opposite sides do not share a vertex and opposite angles do not share a side., The four most important properties of a parallelogram are: The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The opposite angles of a parallelogram are equal. The sum of interior angles of a parallelogram is equal to 360°. The consecutive angles of a parallelogram should be supplementary (180°)., 6-2 Notes: Properties of Parallelograms Any four-sided polygon is called a quadrilateral. A segment joining any two nonconsecutive vertices is called a diagonal. A special kind of quadrilateral in which both pairs of opposite sides are parallel is called a parallelogram (this is the definition of a parallelogram). , 2 10.1a– Use Properties of Parallelograms Target 1: Use properties of parallelograms to solve problems Vocabulary: Parallelogram: Opposite Sides and Angles of a Parallelogram If a quadrilateral is a _____, then its _____ and _____ are congruent. Example 1: Use properties of parallelograms Find the values of x and y., The four most important properties of a parallelogram are: The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The opposite angles of a parallelogram are equal. The sum of interior angles of a parallelogram is equal to 360°. The consecutive angles of a parallelogram should be supplementary (180°)., So you can apply the properties of parallelograms to rhombuses. *** Example #2 - Using Properties of Rhombuses to Find Measures a. TVWX is a rhombus. Find TV . Find m VTZ . b. CDFG is a rhombus. Find CD . Find the measure of GCH if m GCD = ( b + 3)° and m CDF = (6 b - 40)° ***A square is a parallelogram, a rectangle, and a rhombus, so it has ..., 6-2 Properties of Parallelograms Warm Up Lesson Presentation Lesson Quiz Holt Geometry – A free PowerPoint PPT presentation (displayed as an HTML5 slide show) on PowerShow.com - id: 7fd6cf-NDgzN ... Use Properties of Parallelograms - Chapter 8.2 Notes: Use Properties of Parallelograms Goal: You will find angle and side measures …, The Parallelogram. A parallelogram has opposite sides parallel and equal in length. Also opposite angles are equal (angles "A" are the same, and angles "B" are the same). NOTE: Squares, Rectangles and Rhombuses are all Parallelograms! Example: A parallelogram with: all sides equal and. angles "A" and "B" as right angles., 1. 6.2 Properties of Parallelograms. Learning Objective(s): I can use relationships among sides and angles of parallelograms. I can use relationships among diagonals of …, A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal (angles A are the same, and angles B are the same) Angle A and angle B add up to 180°, so they are supplementary angles. Play with a Parallelogram:, The four most important properties of a parallelogram are: The opposite sides of a parallelogram are equal in measurement and they are parallel to each other. The opposite angles of a parallelogram are equal. The sum of interior angles of a parallelogram is equal to 360°. The consecutive angles of a parallelogram should be supplementary (180°). , Geometry Unit 9 Properties and Conditions of Parallelograms (9.1 Properties of Parallelograms) Flashcards; Learn, 40. 25. e length of one side of a parallelogram is 3 more than twice the length of the. adjacent side. e perimeter of the parallelogram is 30 cm. Find the lengths of. the two adjacent sides of the parallelogram. 4 cm and 11 cm. 26. Reasoning. A classmate draws a parallelogram for which one side is twice., Key ConceptsTheorem 6-2 Opposite angles of a parallelogram are congruent. Yes; by the Converse of the Same-Side Int. 'Thm., both pairs of opp. sides are n. 11; mlE≠70, …, C. Page 4. Example 1: How do the lengths of opposite sides of a parallelogram compare to each other? Given: ABCD is a parallelogram. A. D alternate. Interior., A Parallelogram is a flat shape with opposite sides parallel and equal in length. Opposite sides are parallel. Opposite sides are equal in length. Opposite angles are equal (angles A are the same, and angles B are the same) Angle A and angle B add up to 180°, so they are supplementary angles. Play with a Parallelogram:, Feb 6, 2020 · 6-3 Additional Practice Properties of Parallelograms Find the stated lengths in each parallelogram. 1. BBC 3. JK 2. CD 4. KL Find the stated angle measures in each parallelogram. 5. ∠W B7. ∠A 6. ∠Z 8. ∠D Find the stated lengths in each parallelogram. 9. EG 11. RT 10 . DH 12. QS 13. EUnderstand Complete the proof. Given: Parallelogram ... , Name Date Period Notes 62: Properties of Parallelograms Objectives: 1. Prove and apply properties of parallelograms. 2. Use properties of parallelograms to solve problems. A parallelogram is a quadrilateral, 6.2: Properties of Parallelograms Name rarallelogram: Sides I Theorem If a quadrilateral is a parallelogram then . sìdes — In mugs, Example 1: b. The figure is a parallelogram. 2x+1 12 Find x and y. 12. a. FGHJ is a parallelogram. Find JH and FJ. Theorem If a quadrilateral is a parallelogram then ik lh I Theorem a.Mles av.e, Geometry: Common Core (15th Edition) answers to Chapter 6 - Polygons and Quadrilaterals - 6-2 Properties of Parallelograms - Practice and Problem-Solving Exercises - Page 364 21 including work step by step written by community members like you. Textbook Authors: Charles, Randall I., ISBN-10: 0133281159, ISBN-13: 978-0 …, parallelograms. 1. Given 2. ∠CDA ≅ ∠B, ∠EDG ≅ ∠F 2. If a quadrilateral is a parallelogram, then its opposite angles are congruent. 3. ∠CDA ≅ ∠EDG 3. Vertical Angles Congruence Theorem (Thm. 2.6) 4. ∠B ≅ ∠F 4. Transitive Property of Congruence (Thm. 2.2) MMonitoring Progressonitoring Progress Help in English and Spanish ..., 6.2 notes properties of parallelograms Flashcards | Quizlet. Math. Geometry. 6.2 notes properties of parallelograms. opposite sides of a parallelogram are congruent. Click …, 6-2 Properties of Parallelograms 6-2 Properties of Parallelograms EN English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian český русский български العربية Unknown, (9b 2) o 8a — 4 Theorems Properties of Parallelograms CONCLUSION 6-2-2 6-2-3 6-2-4 THEOREM If a quadrilateral is a parallelogram, then its opposite angles are congruent. opp. K If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. -4 cons. supp.) If a quadrilateral is a parallelogram, then its diagonals bisect each, 3. a. Find the values of x and yin EPQRS at the right. What are PR and SQ? 2. Use the diagram at the right. Given: DABCD, MK Prove: LBCD LCMD, Properties of parallelogram are as follows: · the opposite sides are equal; · the opposite angles are equal; · diagonals bisect each other., Properties of Special Parallelograms. If it is true that not all quadrilaterals are created equal, the same may be said about parallelograms. You can even out the sides or stick in a right angle. Rectangle. A rectangle is a quadrilateral with all right angles. It is easily shown that it must also be a parallelogram, with all of the associated ...