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

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Presentation on theme: "8.4. Parallelogram:   Both Opp. Sides parallel Both Opp. Sides  Both Opp. Angles  Consecutive Angles Supp. Diagonals bisect each other x xy y x +"— Presentation transcript:

1 8.4

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 A Rhombus is… A parallelogram With all 4 sides congruent.

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

5 A Rectangle is… A parallelogram with 4 right angles.

6 Rectangle: Parallelogram with 4 right angles Diagonals are congruent

7 A Square is…. A parallelogram with… 4 congruent sides… And 4 congruent angles.

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°


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