1. 8.4 – Properties of Rhombuses, Rectangles
And Squares

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

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
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. 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. mQPR = 30° mQTP = 90° mPQT = 60° RP = 12
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
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
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. all sides are congruent
HW Problem
Section
Page #
Assignment
Spiral
8.4
19-26, 28, 32-35, 38-41, 44-48
9-13
#26
Ans:
Rhombus
all sides are congruent
x = 180
3y = y + 8
x = 76°
y = 4