Name ________________________
Period _____________
I. Complete the chart by putting a Check mark beside each property that applies. Use the chart as
you work and have it memorized for the test.
Property
Parallelogram Rhombus Rectangle Square
All sides
Opposite sides
Opposite sides //
Opposite angles
All Angles are right <s
Diagonals bisect each other
Diagonals are
Diagonals are
Each diagonal bisects opposite
angles
Geometry Review Chapter 9
II. Based on the markings, decide if each figure is a parallelogram. Justify your answer.
2.
3.
4.
5.
6.
III. Find the values of the variables for each figure.
8.
9.
3x
y
10. AC= 7x – 15; BD= 4x + 15
A
B
(4x - 40)
2x
(2x + 33)
D
C
7.
11.
12.
13.
24
x
y
3x
13
x
2x
34
(3x – 10)
101
14.
15.
y
16.
y
x
y
x
65
x
48
79
17.
18.
y
50
115
19.
9x
3x
z
x
11x
(8y + 1)
x + 2
20.
21.
6x
22.
17
x
x
(2y – 1)
5
(y + 5)
y
2x - 1
(4y – 2)
11
.
23. The perimeter of ABCD is 50. If AB = 10, find BC.
24. In rectangle EFGH, EG is 19. Find FH.
25. The perimeter of rhombus MNOP is 60. Find NO
26. In rhombus JKLN, KL is 8. Find LN.
27. Rectangle KATY has coordinates K (-2, -1), A _____ T (5,3), Y ______,
Give possible values for points A and Y so KATY has the
properties of a rectangle.
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