Download Geometry Unit 9 Test - Quadrilaterals

Geometry Unit 9 Test - Quadrilaterals
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Find the values of the variables and the lengths of
B
the sides of this kite.
x+ 5
|
y–2
|
3x + 4
A
B
C
D
||
||
C
x+ 6
x =8, y = 1; 1, 13
x = 1, y = 8; 6, 7
x = 1, y = 8; 1, 13
x =8, y = 1; 6, 6
2. Which statement is true?
A All rectangles are squares.
B All quadrilaterals are parallelograms.
C All squares are quadrilaterals.
D All quadrilaterals are squares.
D
4. ABCD is a parallelogram. If
then
The diagram is not to scale.
3. Judging by appearances, which figure is a
trapezoid?
A
A
D
A
B
C
D
B
C
78
112
102
156
5. ABCD is a parallelogram. If
then
The diagram is not to scale.
A
B
37
D
A
B
C
D
101
C
y°
z°
73
132
122
58
x°
A
B
C
D
6. LMNO is a parallelogram. If NM = x + 23 and OL =
3x + 5 find the value of x and then find NM and OL.
O
9. Find AM in the parallelogram if PN =10 and AO =
4. The diagram is not to scale.
N
M
L
A
B
C
D
M
7. For the parallelogram, if
find
scale.
3
A
B
C
D
A
x = 9, NM = 32, OL = 32
x = 11, NM = 32, OL = 34
x = 11, NM = 34, OL = 34
x = 9, NM = 34, OL = 32
2
N
and
The diagram is not to
P
A
B
C
D
O
4
8
10
5
4
1
155
13
165
25
8. Find the values of the variables in the
parallelogram. The diagram is not to scale.
10. Find values of x and y for which ABCD must be a
parallelogram. The diagram is not to
scale.
A
B
4x – 3
A
B
C
D
x = 9, y = 4
x = 4, y = 9
x = 9, y = 33
x = 9, y = 12
y+8
5y – 8
x + 24
D
C
11. Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
A
|
|
A Yes; two opposite sides are both parallel and congruent.
B Yes; the diagonals are congruent.
C No; you cannot prove that the quadrilateral is a parallelogram.
D Yes; the diagonals bisect each other.
12. If
find
so that
quadrilateral ABCD is a parallelogram. The
diagram is not to scale.
3
B
1
|
|
2
D
A
B
C
D
70
290
145
35
13. In the rhombus,
C
A
B
C
D
x = 30, y = 60, z = 3
x = 60, y = 150, z = 3
x = 30, y = 150, z = 6
x = 60, y = 60, z = 6
14. DEFG is a rectangle. DF = 5x – 3 and EG = x + 37.
Find the value of x and the length of each diagonal.
A x = 5, DF = 42, EG = 42
B x = 10, DF = 42, EG = 42
C x = 10, DF = 47, EG = 47
D x = 10, DF = 47, EG = 51
Find
the value of each variable. The diagram is not to
scale.
15. Which description does NOT guarantee that a quadrilateral is a rectangle?
A a quadrilateral with all four angles right
B a quadrilateral with diagonals that are congruent and bisect each other
C a quadrilateral with all congruent angles
D a parallelogram with congruent sides
16. Find the values of a and b.The diagram is not to
A 79°; 158°
scale.
B 22°; 158°
C 79°; 101°
D 22°; 101°
131°
18. Find
to scale.
A
b°
1
|
41°
in the kite. The diagram is not
3
D
28°
2
||
C
A
B
C
D
28, 28
28, 62
62, 62
62, 28
19. Which description does NOT guarantee that a trapezoid is isoscles?
A congruent bases
B congruent legs
C congruent diagonals
D both pairs of base angles congruent
20.
are base angles of isosceles trapezoid
JKLM. If
and
21.
|
5
84
48
96
and
diagram is not to scale.
U
S
Find
The
||
||
A
B
C
D
R
|
17. The isosceles trapezoid is part of an isosceles
triangle with a 22° 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.
B
||
A
B
C
D
|
a°
T
A
B
C
D
20
70
10
100
Geometry Unit 9 Test - Quadrilaterals
Answer Section
MULTIPLE CHOICE
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21.
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ANS:
B
C
A
C
D
A
A
B
A
A
D
C
A
C
D
A
C
B
A
D
A