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8.4 – Properties of Rhombuses, Rectangles And Squares

8.4 – Properties of Rhombuses, Rectangles And Squares. Rhombus:. Parallelogram with 4 congruent sides. Diagonals are . Diagonals bisect opposite angles. Rectangle:. Parallelogram with 1 right angle. Diagonals are congruent. Square:. A rectangle that is a 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. Rhombus: • Parallelogram with 4 congruent sides • Diagonals are  • Diagonals bisect opposite angles

  3. Rectangle: • Parallelogram with 1 right angle • Diagonals are congruent

  4. Square: • A rectangle that is a rhombus

  5. 1. Name the type of parallelogram. Explain. Rhombus Diagonals are 

  6. 1. Name the type of parallelogram. Explain. Rectangle 1 right angle

  7. 1. Name the type of parallelogram. Explain. Rhombus 4 sides 

  8. 1. Name the type of parallelogram. Explain. Square 4 congruent sides and all angles are right angles.

  9. 1. Name the type of parallelogram. Explain. Rectangle Diagonals are 

  10. 1. Name the type of parallelogram. Explain. Square Rectangle from diagonals being  Rhombus from diagonals being 

  11. 2. The diagonals of rhombus PQRS intersect at T. Given that mRPS = 30° and RT = 6, find the indicated measure. mQPR = 30° 30°

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

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

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

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

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

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

  18. 4. The diagonals of square DEFG intersect at H. Given that EH = 5, find the indicated measure. HF = 5

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

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