Lesson 5.8 Use Properties of Parallelograms

1. Lesson 5.8Use Properties of Parallelograms

2. A P T B Vocabulary A parallelogram is a quadrilateral with both pairs of opposite sides parallel APBT is a parallelogram.

3. A P T B Theorem 5.18 If a quadrilateral is a parallelogram, then its opposite sides are congruent.

4. A P T B Theorem 5.19 If a quadrilateral is a parallelogram, then its opposite angles are congruent.

5. A P T B Theorem 5.20 If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

6. A P T B PT bisects AB so AX =BX AB bisects PT so __________ Theorem 5.21 If a quadrilateral is a parallelogram, then its diagonals bisect each other. X TX =PX

7. 15 D E y  z  53 G F 4x - 1 Example Find the values of x, y and z.