Download GEOMETRY CHAPTER 6 PRACTICE TEST 1. Which one of the

NAME __________________________________ DATE __________ PD. ____
GEOMETRY CHAPTER 6 PRACTICE TEST
1. Which one of the statements below is FALSE?
[C] m QLM
[A] A circle is NOT a polygon.
[B] A pentagon has 5 sides.
[C] A decagon has 10 angles.
[D] m PQM
5. Find the value of the variables in the
parallelogram.
25
120
[D] An octagon has 10 angles.
2. Find the value of x.
101°
57°
y
x
z
x
73°
[A] x = 35 , y = 25 , z = 120
3. Complete the statement about parallelogram
EFGH. Then state a definition or theorem as the
reason.
_____
EO
[B] x = 60 , y = 12.5 , z = 155
[C] x = 25 , y = 35 , z = 120
[D] x = 12.5 , y = 60 , z = 155
H
G
6. Consecutive angles in a parallelogram are always
________.
O
[A] vertical angles
E
F
4. For parallelogram PQLM below, if
m PML 83 , then m PQL ______ .
[B] complementary angles
[C] supplementary angles
[D] congruent angles
7. Given the following, determine whether
quadrilateral XYZW must be a parallelogram. Justify
your answer. N is the midpoint of XZ and WY
X
Y
N
[A] 97
[B] 83
W
Z
8. If the diagonals of a parallelogram are equal in
NAME __________________________________ DATE __________ PD. ____
GEOMETRY CHAPTER 6 PRACTICE TEST
length, then the parallelogram is also what type of
y
figure?
10
9. Isosceles trapezoid ABCD has legs AB and CD ,
and base BC. If AB 3y 6, BC 9 y 3, and
CD 7 y 9. Find the value of y.
D
C
–10
E
B
10. Given: Trapezoid ABCD with midsegment EF .
If AB = 16 and EF = 18 , find the length of DC .
A
10 x
–10
B
E
13. The figure below is made up of two squares
with the areas shown. What is the length of x?
F
D
8100
C
1600
11. Find m T in the diagram, if m R
m S 50 .
x
110 and
[A] 4850
S
[B] 1212.5
[C] 130
[D] 360
R
T
14. A field is 200 m by 260 m. A barn 22 m by 29
m is built in the field. How much area is left over?
[A] 52,638 m2
U
12. Prove that quadrilateral BCDE is a rhombus by
showing that all four sides are of equal measure.
[B] 51,949 m2
[C] 51,375 m2
[D] 51,362 m2
15. Find the area of the shaded triangle.
NAME __________________________________ DATE __________ PD. ____
GEOMETRY CHAPTER 6 PRACTICE TEST
4
2
8
8m
5
6m
16. Find the height of the triangle if the area is
6.195 cm2 (not drawn to scale).
19. Refer to the figure below.
Given: AF
7 cm
2.1 cm
17. The area of the parallelogram is
_____.
EBCWhich line is a
FC , ABE
perpendicular bisector in ABC?
20. In rhombus ABCD, AB = 20 and AC = 32. Find
the area of the rhombus to the nearest tenth.
[A] 379.3
[A] 40 111 sq. units
[B] 340 sq. units
[B] 384.0
[C] 506.0
[D] 499.6
[C] 800 sq. units
[D] 680 sq. units
21. Find the area of the region shown by dividing it
into two trapezoids.
18. Find the area of the quadrilateral. (not drawn to
scale)
29
13
6
18
[A] 870 sq. units
12
NAME __________________________________ DATE __________ PD. ____
GEOMETRY CHAPTER 6 PRACTICE TEST
[B] 567 sq. units
137 . Which of the following statements is false?
[C] 1134 sq. units
C
[D] 573 sq. units
A
T
G
ABH and
[B] m DEF
U
[C] HBF and
angles.
R
S
[D] m GEF
7
x 3 and AE =
2
4x 7 . Assume B is the midpoint of AC and D is
the midpoint of CE.
F
H
[A]
Q
E
B
22. Given: SQ bisects RST . Find QR if
UT 15 and UQ 36. (not drawn to scale)
AEG are corresponding angles.
43
AED are alternate exterior
137
25. Solve for x:
23. Solve for x given BD =
C
B
A
[A]
D
E
1
3
[B]
1
8
[C] 3
[D] 8
24. In the figure shown, HC || GD and m ABC =
D
b3 x
137
g
b3x 31g
NAME __________________________________ DATE __________ PD. ____
GEOMETRY CHAPTER 6 PRACTICE TEST
the distance formula to show that each side has the
Reference: [6.1.1.14]
same
[1] [D]
measure.
Reference: [6.1.2.21]
[2] 129°
Reference: [6.2.1.24]
[3] OG ; the diagonals of a parallelogram bisect
each other.
BC
c– 4 b– 10gh b– 3 5g
2
10
CD
10
b– 10 0g b5 5g
b– 10g b0g
DE
10
EB
2
2
b0 6g c5 b– 3gh
2
Reference: [6.2.1.34]
[5] [C]
c6 b– 4gh c– 3 b– 3gh
2
Reference: [6.7.1.73]
[13] [C]
Reference: [6.2.1.32]
[6] [C]
Reference: [6.7.1.75]
[14] [D]
Reference: [6.3.1.37]
[7] Yes. If the diagonals of a quadrilateral bisect
each other, then the quadrilateral is a parallelogram.
Reference: [6.7.1.80]
[15] 24 m 2
Reference: [6.4.2.50]
[8] A rectangle
Reference: [6.7.1.82]
[16] 5.9 cm
Reference: [6.5.1.54]
15
[9]
4
Reference: [6.7.1.88]
[17] [D]
Reference: [6.7.1.92]
[18] 45 sq. units
Reference: [6.5.1.58]
[10] 20
Reference: [5.2.1.12]
[19] GF
Reference: [6.5.2.66]
[11] 150
Reference: [6.7.2.100]
[20] [B]
Reference: [6.6.2.70]
[12] B – 4 – 3 C – 10 5 D 0 5 E 6 – 3 Use
g b
2
2
2
2
b– 6g b8g
2
2
2
b10g b0g
2
2
g b g b
g
Reference: [6.7.2.97]
36 64
100 0
36 64
2
10 Because all four sides are of equal measure,
the quadrilateral is a rhombus.
Reference: [6.2.1.28]
[4] [B]
b
2
b6g b– 8g
100 0
NAME __________________________________ DATE __________ PD. ____
GEOMETRY CHAPTER 6 PRACTICE TEST
[21] [B]
Reference: [5.2.2.17]
[22] 39
Reference: [5.4.1.41]
[23] [A]
Reference: [3.3.2.20]
[24] [C]
Reference: [1.6.1.65]
[25] 2