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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.
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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 R S P end
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
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. mP + mQ = 180° mQ + mR = 180° mR + mS = 180° mS + mP = 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
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 mR 4. Find mQ 70° S P Q R 5. Find the value of x 3x° 120° S P
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.