Geometry
Chapter 6 Test Review
Find the value of each variable. The diagram is
|
|
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°
|
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 = ________
Then state a definition or theorem that justifies your answer.
D
C
O
A
B
9. Find the values of the variables in the parallelogram. The diagram is not to scale.
39
103
y°
z°
x°
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
|
x+ 2
||
||
|
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.
|
4
|
|
3
1
2
14.
 
|
and
Find
The diagram is not to scale.
R
|
|
S
||
||
U
T
15. The isosceles trapezoid is part of an isosceles triangle with a 44° 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°
115°
64°
b°
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.