1. 8.4 – Properties of Rhombuses, Rectangles And Squares

2. Parallelogram:   Both Opp. Sides parallel Both Opp. Sides  Both Opp. Angles  Consecutive Angles Supp. Diagonals bisect each other x xy y x + y = 180°

3. Parallelogram Rhombus Rectangle

4. Rhombus: Parallelogram with 4 congruent sides Diagonals are  Diagonals bisect opposite angles

5. Parallelogram Rhombus Rectangle

6. Rectangle: Parallelogram with 4 right angles Diagonals are congruent

7. Parallelogram Rhombus Rectangle Square

8. Square: A rectangle that is a rhombus

9. 1. Determine the most specific name for the quadrilateral. Explain. Rhombus Diagonals are 

10. 1. Determine the most specific name for the quadrilateral. Explain. Rectangle Quad w/ 4 right angles

11. Rhombus 4 sides  1. Determine the most specific name for the quadrilateral. Explain.

12. Parallelogram Both pairs of opposite sides parallel 1. Determine the most specific name for the quadrilateral. Explain.

13. Rectangle Diagonals are  1. Determine the most specific name for the quadrilateral. Explain.

14. Square Rectangle from diagonals being  Rhombus from diagonals being  1. Determine the most specific name for the quadrilateral. Explain.

15. 2. The diagonals of rhombus PQRS intersect at T. Given that m  RPS = 30° and RT = 6, find the indicated measure. m  QPR = 30° m  QTP = 90° RP =12 m  PQT = 60°

16. 3. The diagonals of rectangle WXYZ intersect at P. Given that m  YXZ = 50° and XZ = 12, find the indicated measure.  WXZ = 40° PY =6

17. 4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure.  GHF = 90°  DGH = 45° HF =5 45°

18. Ans: Rhombus all sides are congruent x + 104 = 180 x = 76° 3y = y + 8 y = 4 HW Problem SectionSection Page #Page # AssignmentAssignment Spiral Spiral 8.48.4 537-538537-538 1-26, 28, 32-35, 38-41, 44-481-26, 28, 32-35, 38-41, 44-48 9-139-13