Notes 6-2 properties of parallelograms

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 …

Notes 6-2 properties of parallelograms. Title: Properties of Parallelograms 1 6-2 Properties of Parallelograms Warm Up Lesson Presentation Lesson Quiz Holt Geometry Holt McDougal Geometry 2 Warm Up Find the value of each variable. 1. x 2. y 3. z 2 18 4 3 Objectives Prove and apply properties of parallelograms. Use properties of parallelograms to solve problems. 4 Vocabulary ...

7.4 Properties of Special Parallelograms Notes Date: A rhombus is a _____ with four congruent _____. ... (-2, 6), B(6, 8), C(4, 0), and D(-4, -2) is a rectangle, a rhombus, or a square. Give ALL names that apply. Title: Microsoft Word - 7.4 Properties of Special Parallelograms notes.docx Created Date:

Notes 6-4: Properties of Special Parallelograms Objective: 1. Prove and apply properties of rectangles, rhombuses, and squares 2. Use properties of rectangles, rhombuses and squares to solve problems. A _____ is a quadrilateral with four right angles. A rectangle has the following properties. Properties of Rectangles ≅Parallelogram → Opposite sides are . Parallelogram → Opposite angles are . Parallelogram → Diagonals bisect each other. Parallelogram → Consecutive angles are …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.7.2 - Properties of Parallelograms. Common Core State Standards: HSG-CO.C.11, HSG-SRT.B.5. Expected Learning Outcomes. The students will be able to: 1) Use properties of parallelograms to find side lengths and angle measures of parallelograms. 2) Use parallelograms in the coordinate plane.Properties of Parallelograms 6.6 : If a parallelogram has one right angle, then it has four _____ angles. bisect. Diagonals of Parallelograms 6.7 : If a quadrilateral is a parallelogram, then its diagonals _____ each other. separates.

6.2 Properties of Parallelograms Vocabulary parallelogram 5 6.2 Properties of Parallelograms Any polygon with four sides is a quadrilateral. However, some quadrilaterals have special properties. These special quadrilaterals are given their own names. 6 6.2 Properties of Parallelograms 7 6.2 Properties of Parallelograms6.2: 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 Title: Properties of Parallelograms 1 6-2 Properties of Parallelograms Warm Up Lesson Presentation Lesson Quiz Holt Geometry Holt McDougal Geometry 2 Warm Up Find the value of each variable. 1. x 2. y 3. z 2 18 4 3 Objectives Prove and apply properties of parallelograms. Use properties of parallelograms to solve problems. 4 Vocabulary ... 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. #1 Opp Sides // •A parallelogram is a©t 42x0 O132Z 7K ou ctea h cSpoAfot bw3a lr Xeq 2LyL2C R.9 g tA Tlul U SrEi2ggh ztesi srbeOs0elr RvMejdN.6 g zM Ca 8dLe s Iw fi It eh P UIPndf7iTnoiktke q WGTe9o Fm Je …121. 6.2 Properties of Parallelograms. Goals. p. Use some properties of parallelograms. p. Use properties of parallelograms in real-life situations. VOCABULARY. Parallelogram. A parallelogram is a quadrilateral with both. pairs of opposite sides parallel. THEOREM 6.2. If a quadrilateral is a parallelogram, then. its. opposite sides. are congruent.121. 6.2 Properties of Parallelograms. Goals. p. Use some properties of parallelograms. p. Use properties of parallelograms in real-life situations. VOCABULARY. Parallelogram. A parallelogram is a quadrilateral with both. pairs of opposite sides parallel. THEOREM 6.2. If a quadrilateral is a parallelogram, then. its. opposite sides. are congruent.

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 ... 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 6.2 Properties of Parallelograms. Geometry Mrs. Spitz Spring 2005. Objectives:. Use some properties of parallelograms. Use properties of parallelograms in real-lie situations such as the drafting table shown in example 6. Assignment:. pp. 333-335 #2-37 and 39. In this lesson . . . . 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. 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. Both …

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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.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 ...Solution. x = 120 and y = z because the opposite angles are equal, ∠A and ∠D are supplementary J because they are interior angles on the same side of the transversal of parallel lines (they form the letter "C." Theorem 3.1.3, section 1.4). Answer: x = 120, y = z = 60. In Example 3.1.3, ∠A and ∠B, ∠B and ∠C, ∠C and ∠D, and ∠D ... 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. Online sticky note boards are a great way to organize and collaborate with your team. They’re easy to use, and they can help you keep track of tasks, ideas, and projects. Here are ...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 …

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° About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...To use relationships among sides, angles, and diagonals of parallelogramsAny 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).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. #1 Opp Sides // •A parallelogram is aGeo. 6.2 Properties of Parallelograms. Fill in the blank: a PARALLELOGRAM is a quadrilateral with two pairs . of _____ sides. parallel . perpendicular. skew. proportional. If a quadrialteral is a paralellogram, then it's opposite SIDES …24 Sept 2021 ... VIDEO ANSWER: Okay, so for a definition of a parallelogram opposite angles are congruent or opposite sides are congruent, we should say ...Quadrilaterals - 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 …In today’s digital age, finding information and resources has never been easier. Whether you’re a student, professional, or simply someone looking to learn something new, there are...

24 Dec 2017 ... It explains the properties of parallelograms and how to use it calculate the missing sides and missing angles of parallelograms. It contains ...

©t 42x0 O132Z 7K ou ctea h cSpoAfot bw3a lr Xeq 2LyL2C R.9 g tA Tlul U SrEi2ggh ztesi srbeOs0elr RvMejdN.6 g zM Ca 8dLe s Iw fi It eh P UIPndf7iTnoiktke q WGTe9o Fm Je StGrPy2.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 ...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 CharacteristicsParallelograms-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, …Notes 6-2: Properties of Parallelograms period are congruent. each other. 10m 12m sides. Objectives: 1. Prove and apply properties of parallelograms. 2. Use properties of parallelograms to solve problems. A parallelogram is a quadrilateral With pairs of All parallelograms, such as FGHJ, have the following properties. pro Opposite sides are mzF ...6-2 Properties of Parallelograms. Parallelogram – A quadrilateral with both pairs of opposite sides parallel. Opposite sides - Two sides in a quadrilateral that do NOT share …When 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...7.4 Properties of Special Parallelograms Notes Date: A rhombus is a _____ with four congruent _____. ... (-2, 6), B(6, 8), C(4, 0), and D(-4, -2) is a rectangle, a rhombus, or a square. Give ALL names that apply. Title: Microsoft Word - 7.4 Properties of Special Parallelograms notes.docx Created Date:

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©t 42x0 O132Z 7K ou ctea h cSpoAfot bw3a lr Xeq 2LyL2C R.9 g tA Tlul U SrEi2ggh ztesi srbeOs0elr RvMejdN.6 g zM Ca 8dLe s Iw fi It eh P UIPndf7iTnoiktke q WGTe9o Fm Je StGrPy2.L2 - Properties of Parallelograms (8.2) PASCO COMPLETE.notebook Subject: SMART Board Interactive Whiteboard Notes Keywords: Notes,Whiteboard,Whiteboard Page,Notebook software,Notebook,PDF,SMART,SMART Technologies ULC,SMART Board Interactive Whiteboard Created Date: 1/31/2018 7:22:42 AMJan 11, 2015 · In this Geometry lesson you will learn the definition and properties of parallelograms and how to apply those properties to solving problems. 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.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 ... 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. 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.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. …7.4 Properties of Special Parallelograms Notes Date: A rhombus is a _____ with four congruent _____. ... (-2, 6), B(6, 8), C(4, 0), and D(-4, -2) is a rectangle, a rhombus, or a square. Give ALL names that apply. Title: Microsoft Word - 7.4 Properties of Special Parallelograms notes.docx Created Date:Properties of Parallelograms • The diagonals of a parallelogram bisect each other. • Any non-degenerate affine transformation takes a parallelogram to another parallelogram. • A parallelogram has rotational symmetry of order 2 (through 180°). If it also has two lines of reflectional symmetry then it must be a rhombus or a rectangle.We can identify and distinguish a parallelogram with the help of the following properties: The opposite sides of a parallelogram are parallel. Here, PQ ‖ RT and PR ‖ QT. The opposite sides of a parallelogram are equal. Here, PQ = RT and PR = QT. The opposite angles of a parallelogram are equal. Here, ∠P = ∠T and ∠Q = ∠R. ….

Lesson 6-2. Properties of Parallelograms. Page 2. Geometry Lesson 6-2. Daily Notetaking Guide. 112. © P earson Education, Inc., publishing as P earson P rentice ...7.4 Properties of Special Parallelograms Notes Date: A rhombus is a _____ with four congruent _____. ... (-2, 6), B(6, 8), C(4, 0), and D(-4, -2) is a rectangle, a rhombus, or a square. Give ALL names that apply. Title: Microsoft Word - 7.4 Properties of Special Parallelograms notes.docx Created Date: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 Parallelograms6-2 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 …6-2 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°Start studying 6-2 properties of parallelograms. Learn vocabulary, terms, and more with flashcards, games, and other study tools.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 …A parallelogram is a quadrilateral whose opposite sides are parallel. A parallelogram, in its most general form, looks something like this: Note that the arrowheads are used to indicate which pair of sides are parallel. A … Notes 6-2 properties of parallelograms, Parallelogram Property 2: In a parallelogram, any two opposite angles are congruent. Given: Parallelogram JUST Prove: ∠JUS = ∠STJ; ∠UJT = ∠TSU ..., Notes 6-4: Properties of Special Parallelograms Objective: 1. Prove and apply properties of rectangles, rhombuses, and squares 2. Use properties of rectangles, rhombuses and squares to solve problems. A _____ is a quadrilateral with four right angles. A rectangle has the following properties. Properties of Rectangles, About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ..., 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., 6-2 Properties of Parallelograms Example 2B: Using Properties of Parallelograms to Find Measures WXYZ is a parallelogram. Find m Z. Divide by 27. Add 9 to both sides. …, 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. , 00:08:56 – Use properties of parallelograms to find the missing side and angle measurements (Examples #9-18) 00:17:34 – Use the parallelogram properties to find the indicated measures (Example #19) 00:20:47 – Complete the two-column proof for the given parallelograms (Examples #20-21) Practice Problems with Step-by-Step Solutions, Geometry - Polygons Worksheet Bundle. This bundle of worksheets includes plenty of content and practice including the sum of the interior and exterior angles of a convex polygon, quadrilaterals, parallelograms, rectangles, rhombi, squares, trapezoids, isosceles trapezoids, and kites. 9. Products. $15.30 $17.00 Save $1.70. View Bundle. Description. , 24 Dec 2017 ... It explains the properties of parallelograms and how to use it calculate the missing sides and missing angles of parallelograms. It contains ..., 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 ..., Presentation on theme: "Mod 15.6: Properties of Parallelograms"— Presentation transcript: 1 Mod 15.6: Properties of Parallelograms Essential Question: What can you conclude about the sides, angles, and diagonals of a parallelogram? ... Chapter 8.2 Notes: Use Properties of Parallelograms. Rhombuses, Rectangles, and Squares. Geometry 6 …, Properties: Sides and Angles Lesson 6-2: Examples 1, 2 Extra Skills, Word Problems, Proof Practice, Ch. 6 Properties: Diagonals and Transversals Lesson 6-2: Example 3 Extra Skills, Word Problems, Proof Practice, Ch. 6 PowerPoint Special Needs Some students think that because the sides of a rhombus are congruent its diagonals must also be congruent., 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., 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., 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, 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 ..., 4 Feb 2016 ... After the notes, I had students work on the following Parallelograms Maze (which they LOVED). Directions: Every student will start at ..., 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°)., Lesson 6-2. Properties of Parallelograms. Page 2. Geometry Lesson 6-2. Daily Notetaking Guide. 112. © P earson Education, Inc., publishing as P earson P rentice ..., 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. Both …, As a student, one of the most valuable skills you can develop is effective note-taking. Taking good notes not only helps you stay organized, but it also enhances your learning expe..., 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 ..., Note that because these three quadrilaterals are all parallelograms, their properties include the parallelogram properties. The rhombus has the following properties: All of the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary)., Trapezoids and kites are shapes that are quadrilaterals but not parallelograms. A quadrilateral is a two-dimensional shape with four straight sides, although the sides can cross ea..., 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: , Apr 22, 2024 · Example 2: Find area of a parallelogram where the base is 6 cm and the height is 12 cm. Solution: Given, Base = 6 cm and Height = 12 cm. We know, Area = Base x Height. Area = 6 × 12. Area = 72 cm 2. FAQs on Properties of a Parallelogram What is a parallelogram? A parallelogram is a quadrilateral that has in which opposite sides are parallel ... , Presentation on theme: "Mod 15.6: Properties of Parallelograms"— Presentation transcript: 1 Mod 15.6: Properties of Parallelograms Essential Question: What can you conclude about the sides, angles, and diagonals of a parallelogram? ... Chapter 8.2 Notes: Use Properties of Parallelograms. Rhombuses, Rectangles, and Squares. Geometry 6 …, Special Parallelograms. Square and Rectangle: A square and a rectangle are two shapes which have similar properties to a parallelogram. Both have their opposite sides equal and parallel to each other. Diagonals of both shapes bisect each other. Rhombus: If all the sides of a parallelogram are congruent or equal to each other, then it is a rhombus. , Properties of a Parallelogram. Property 1: Sides opposite to each other are equal in length i.e. PQ = SR and QR = PS. Property 2: Angles opposite to each other are equal i.e. ∠P =∠R and ∠Q = ∠S. Property 3: The Diagonals bisect one another (at the point of their intersection) i.e. PO = RO and QO= SO., 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., 1.) both pairs of opposite sides are congruent. 3.) diagonals bisect each other. 5.) diagonals are congruent. 7.) both pairs of opposite sides are parallel / 2.) all sides are congruent. 4.) both pairs of adjacent sides are congruent. 6.) all angles are congruent. 8.) exactly one pair of sides is parallel., Parallelogram Properties: Properties of parallelograms often show up in geometric proofs and problems. Parallelogram properties apply to rectangles, rhombi and squares. In a parallelogram, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary and diagonals bisect each other., 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).