Notes 6-2 properties of parallelograms

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 a vertex. Opposite angles - Two angles in a quadrilateral that do NOT share a side.

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 LCMDIf a quadrilateral is a parallelogram, then its opposite angles are congruent. IE: ∠a ≅ ∠c & ∠b ≅ ∠d. Theorem 6-6. If a quadrilateral is a parallelogram, then its diagonals bisect each other. Theorem 6-7. If 3 (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every ... 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. advertisement. 6.2 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. Theorem 6.3. • If a quadrilateral is a parallelogram, then its. 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 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). 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° 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 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.This page titled Section 2: Parallelograms is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Illustrative Mathematics via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request. 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 ... Sending a thank you note is a great way to show your appreciation for someone’s kindness or generosity. The first step in crafting the perfect thank you note is choosing the right ...opposite sides are parallel. What does a Parallelogram look like? T S. -It has 4 vertices. -It has 4 angles. -It has 4 sides. 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 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 ° 5

6-2 Properties of Parallelograms. A parallelogram is a quadrilateral with two pairs of parallel sides. ' ( All parallelograms, such as FGHJ, have the following properties. & * …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. Worksheet 6-2 Properties of Parallelograms Answers 1. Opposites angles congruent 2. Diagonals are bisected 3. Opposite sides are congruent 4. Opposite sides are congruent 5. 20 6. 115 7. 11 8. 36 9. 105 10. 30 11. 6 12. 2 (m BCD) 13. 15 14. 132 15. 132 16. 37 17. 67 18. 16 19. 3 20. 4 or -4 21. 79 22. 7 or -7 23. 120 24. 8 25. 17 26. 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 …Taking notes is an essential part of learning, and it can be the difference between acing a test or failing it. However, not all notes are created equal. In recent years, a new typ...

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http://bit.ly/tarversub Subscribe to join the best students on the planet!!----Have Instagram? DM me your math problems! http://bit.ly/tarvergramHangout with...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 ...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 ...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.A parallelogram that does not have any 90-degree angles, or right angles, has two opposite acute angles. The other opposite pair of equivalent angles is known as obtuse, and the an...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.

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.We discuss the three special parallelograms---rhombuses, rectangles, and squares. We compare the properties of these special parallelograms.Expressing gratitude is a powerful way to acknowledge someone’s kindness and show appreciation for their support. One of the most heartfelt ways to do this is by writing a thank yo...121. 6.2 Properties of Parallelograms. Goals. p. Use some properties of parallelograms. p. Use properties of parallelograms in real-life situations. VOCABULARY. …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 Learn the properties of parallelograms with these interactive flash cards from Quizlet. You can review the definitions, theorems, and examples of different types of parallelograms and test your knowledge with quizzes and games. Open on the Sketchpad website the “6.2 – Properties of Parallelograms” sketch. 2) What is the relationship between the sides of a parallelogram? _____ 3) What is the relationship between opposite angles of a parallelogram? ... 6.2 - Properties of Paralleograms - NOTES [Compatibility Mode]If a quadrilateral is a parallelogram, then its opposite angles are congruent. Theorem 6-6.6.2 Properties of Parallelograms. 6.2 Properties of Parallelograms. Geometry. Objectives:. Use some properties of parallelograms. Use properties of parallelograms in real-lie situations such as the drafting table shown in example 6. Assignment:. Springboard Page 181 Check your understanding e Exercises: 1,4.5,6,7 …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 …

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.

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.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 Notes. Section 6-2: Properties of Parallelograms. *Objectives: *parallelogram (with picture): *Theorem 6-5 *Theorem. *If... *Then... Proofs of Theorems 6-3 and 6-5: … 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. 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).To use relationships among sides, angles, and diagonals of parallelograms40. 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.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.

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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 ...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.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.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.6.2 Day 2 Notes: Properties of Parallelograms Target: Use properties of parallelograms to solve algebraic problems. Target: Use the properties of a parallelogram to write a two-column proof. Partner Practice EX 1: Find angle c in the parallelogram GEOM EX 2: Find LA in parallelogram PLYA. 3x Y EX 3: (x + 12)Given: PLYA is a parallelogram. FindSticky notes are a great way to stay organized and keep track of tasks, ideas, and reminders. But if you’re looking for an even more efficient way to manage your notes, an online s...5. 6 2 Properties Of Parallelograms Form G. 6. Quadrilateral Parallelograms Answer Key. 7. Reteach Properties of Parallelograms. 8. Properties Of Parallelograms Worksheet Answers. Showing 8 worksheets for Practice 6 2 Properties Of Parallelograms. Worksheets are 6 2 properties of parallelograms, 6 2 practice properties of parall... 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. convex quadrilateral in which both pairs of opposite sides are parallel. quadrilateral. a polygon with four sides. Theorem 6.1A: If a quadrilateral is a parallelogram, then its opposite sides are congruent. ( → opp. sides ≅) Theorem 6.1B: If a quadrilateral is a parallelogram, then its opposite angles are congruent. ( → opp. ∠s≅ ...4 Feb 2016 ... After the notes, I had students work on the following Parallelograms Maze (which they LOVED). Directions: Every student will start at ... 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. ….

In today’s digital age, note-taking has become more convenient and accessible than ever before. With the rise of online tools and platforms, individuals can now take notes on their...a quadrilateral with both pairs of opposite sides parallel. Properties of a parallelogram. 1. Opposite Sides are parallel. 2. Opposite Sides are congruent. 3. Opposite Angles are congruent. 4.6-2 Properties of Parallelograms 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: 1/7/2010 10:50:29 AMThe area of a parallelogram can be calculated by multiplying the length of the base by the height to the top, perpendicular to the base. Either edge on either set of sides can be o...Showing appreciation for a gift is an important part of any relationship. Writing a thank you note is a great way to express your gratitude and make the gift-giver feel appreciated...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.Practice 6-2 Properties of Parallelograms Find the value of x in each parallelogram. 1. 2. 3. 4. 5. AC =24 6. 7. x =EG 8. IK =35 If AE ≠17 and BF ≠18, find the ...Properties of Parallelograms In this lesson, students will learn the five properties of parallelograms. Included: • Warm-Up - The warm-up is a review of polygons vocabulary. • Guided Notes - Two versions are included: mostly complete and fill-in-the-blank. The notes are 2 pages long. Examples00:08:56 – 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 SolutionsProperties 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. Notes 6-2 properties of parallelograms, [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1], [text-1-1]