1 / 6

Geometry

1 of 10. Geometry. Agenda. 6.2 - Properties of Parallelograms Homework : check the last 2 slides. Chapter 6 – Quadrilaterals 6.2 - Properties of Parallelograms. 2 of 10. Properties of Parallelograms. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Q.

lazar
Download Presentation

Geometry

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. 1 of 10 Geometry Agenda • 6.2 - Properties of Parallelograms • Homework : check the last 2 slides

  2. Chapter 6 – Quadrilaterals 6.2 - Properties of Parallelograms 2 of 10 Properties of Parallelograms A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Q R S P end

  3. Chapter 6 – Quadrilaterals 6.2 - Properties of Parallelograms 3 of 10 Theorems about Parallelograms Theorem 6.2 If a quadrilateral is a parallelogram, then its opposites sides are congruent. PQ  RS and SP  QR Q R S P Theorem 6.3 If a quadrilateral is a parallelogram, then its opposites angles are congruent. P  R and Q  S Q R S P

  4. Chapter 6 – Quadrilaterals 6.2 - Properties of Parallelograms 4 of 10 Theorems about Parallelograms Theorem 6.4 If a quadrilateral is a parallelogram, then its Consecutive angles are supplementary. mP + mQ = 180° mQ + mR = 180° mR + mS = 180° mS + mP = 180° Q R S P Theorem 6.5 If a quadrilateral is a parallelogram, then its diagonals bisect each other. QM  SM and PM  RM Q R M P S

  5. Chapter 6 – Quadrilaterals 6.2 - Properties of Parallelograms 5 of 10 Home work 5 Q R A. 1. Find PS 2. Find PT T 3 S P Q R 3. Find mR 4. Find mQ 70° S P Q R 5. Find the value of x 3x° 120° S P

  6. Chapter 6 – Quadrilaterals 6.3 - Proving Quadrilaterals are Parallelograms 6 of 14 Homework B. Give the definition, theorem or postulate that justifies the statement. 1. If AC  A'C', AB  A'B' and BC  B'C' then ABC  A'B'C' 2. If ABCD is a parallelogram then AB  DC and AD  BC. 3. If MNPQ is a parallelogram, then MP bisects NQ.

More Related