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8.4 – Properties of Rhombuses, Rectangles And Squares

8.4 – Properties of Rhombuses, Rectangles And Squares. Both Opp. Sides parallel. Both Opp. Sides . Both Opp. Angles . Consecutive Angles Supp. x + y = 180 °. y. x. y. Diagonals bisect each other. x. Parallelogram. Rhombus. Rectangle. Rhombus:.

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8.4 – Properties of Rhombuses, Rectangles And Squares

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  1. 8.4 – Properties of Rhombuses, Rectangles And Squares

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

  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 1 right angle • Diagonals are congruent

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

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

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

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

  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° 60° 30° mQTP = 90° mPQT = 60° RP = 12

  16. 3. The diagonals of rectangle WXYZ intersect at P. Given that mYXZ = 50° and XZ = 12, find the indicated measure. 40° 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° 45° HF = 5

  18. HW Problem #26 Ans: Rhombus all sides are congruent x + 104 = 180 3y = y + 8 y = 4 x = 76°

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