# Geometry Chapter 6 Test Review ```Geometry
Chapter 6 Test Review
Find the value of each variable. The diagram is
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2. In the rhombus,
not to scale.
3
1
|
|
2
3. ABCD is a parallelogram. If
A
then
The diagram is not to scale.
B
D
C
4. Find
in the kite. The diagram is not to scale.
|
3
1
2
B
||
||
D
30&deg;
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A
C
5. ABCD is a parallelogram. If
A
D
then
The diagram is not to scale.
B
C
6. Isosceles trapezoid ABCD has legs
and
find the value of y. (Draw a picture)
and base
If AB = 4y – 4, BC = 4y – 7, and CD = 5y – 17,
7. Find AM in the parallelogram if PN =10 and AO = 6. The diagram is not to scale.
M
N
A
P
O
8. Complete this statement: For parallelogram ABCD, DC = ________
D
C
O
A
B
9. Find the values of the variables in the parallelogram. The diagram is not to scale.
39
103
y&deg;
z&deg;
x&deg;
10. Find the values of the variables and the lengths of the sides of this rectangle. The diagram is not to scale.
8x
6x + 6
4y
2y + 22
11. One side of a kite is 3 cm less than four times the length of another side. The perimeter of the kite is 57 cm.
Find the lengths of the sides of the kite. (Draw a picture)
12. Find the values of the variables and the lengths of the sides of this kite.
y–2
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x+ 2
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2x + 4
x+ 8
13. Give the name that best describes the parallelogram and find the measures of the numbered angles. The
diagram is not to scale.
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4
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3
1
2
14.
 
|
and
Find
The diagram is not to scale.
R
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|
S
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U
T
15. The isosceles trapezoid is part of an isosceles triangle with a 44&deg; vertex angle. What is the measure of an
acute base angle of the trapezoid? Of an obtuse base angle? The diagram is not to scale.
17. Find the values of a and b for this trapezoid. The diagram is not to scale.
a&deg;
115&deg;
64&deg;
b&deg;
18.
are base angles of isosceles trapezoid JKLM. If
(Draw a picture)
and
19. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
A
B
3x – 1
y + 23
5y – 5
x+ 9
D
C
20. If
and
be a parallelogram. The diagram is not to scale.
O
find the values of x and y for which LMNO must
N
L
M
21. DEFG is a rectangle. DF = 4x – 4 and EG = x + 14. Find the value of x and the length of each diagonal.
(Draw a picture)
22. For the parallelogram, if
3
2
and
find
4
1
23. Use the points A(-3, 6) and B(5, -2) to answer parts a and b.
a. Find AB to the nearest 10th.
b. Find the midpoint of the segment AB.
The diagram is not to scale.
```