8.4 – Properties of Rhombuses, Rectangles And Squares.

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Presentation transcript:

8.4 – Properties of Rhombuses, Rectangles And Squares

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

Parallelogram Rhombus Rectangle

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

Parallelogram Rhombus Rectangle

Rectangle: Parallelogram with 4 right angles Diagonals are congruent

Parallelogram Rhombus Rectangle Square

Square: A rectangle that is a rhombus

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

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

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

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

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

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

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°

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

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

Ans: Rhombus all sides are congruent x = 180 x = 76° 3y = y + 8 y = 4 HW Problem SectionSection Page #Page # AssignmentAssignment Spiral Spiral , 28, 32-35, 38-41, , 28, 32-35, 38-41,