Download Review for Geometry End-of

Review for Geometry End-of-1st Semester Test
of 10 feet
b. A rectangle with a length of 16 feet and a width
of 8 feet
c. A square with a side length of 12 feet
d. A circle with a radius of about 7.6 feet
4. Two lines that are not coplanar and do not intersect
are called _____________.
a. Parallel
b. oblique
c. perpendicular
d. skew lines
1. T is the midpoint of
. Which one of the
following is not an appropriate statement?
a.
b.
c.
d.
2. Which does not name the angle below?
Use the figure below.
a.
b.
c.
d.
DCE
CDE
ECD
C
Use the formula for the area of a triangle
(
) to find the value of the unknown
variable.
3. Henry wants to use 48 feet of fencing to enclose
part of his yard for a garden. Which of the figures
described would use all 48 feet of fencing and
enclose the largest area of Henry's yard?
a. A rectangle with a length of 14 feet and a width
6. In the figure,
and
are _________.
a. alternate exterior angles
b. alternate interior angles
7. In the figure,
are __________.
5. For the cube shown,
___________.
a. parallel lines
b. oblique lines
c. skew lines
d. perpendicular lines
c. consecutive interior angles
d. corresponding angles
and
are
a. alternate exterior angles
b. consecutive interior angles
c. corresponding angles
d. alternate interior angles
8. In the figure,
are _____________.
a.
b.
c.
d.
11. In the figure shown,
and m
=
100°. Which of the following statements is false?
C
D
A
E
B
H
a.
b.
c.
d.
alternate interior angles
consecutive interior angles
alternate exterior angles
corresponding angles
9. Find m1 in the figure below.
parallel.
and
are
a.
°
b.
°
c.
°
d.
°
10. In the figure,
and r is a transversal. Which of
the following is not necessarily true?
F
G
a.
b.
c.
d.
12. Use the figure to find the measure of
a.
b.
c.
d.
°
°
°
°
13. If
is parallel to
degrees, of
?
, what is the measure, in
a.
a. 28°
b. 72°
c. 62°
d. 38°
14. Refer to the figure. Which theorem guarantees l and
m are parallel?
1
12
b. 11
2
c. 12
d. 2
11
17. Find the slope of the line.

y
10
5
–10
–5
5
10
x
–5
–10
a. Alternate Interior Angles Converse
b. Consecutive Interior Angles Converse
c. Corresponding Angles Converse
d. Alternate Exterior Angles Converse
15. Find the value of x that will allow you to prove that
below is parallel to
if the measure of
is
° and the measure of
is 81°.
(The figure may not be drawn to scale.)
a.
2
15
b. 15
2
c. 3
4
d. 4
3
18. Which graph shows the line that passes through
and is parallel
to a line with a slope of
a.
5
?
4
y
x
–10
a. 22
b. 69
c. 23
d. 36
16. Find the slope of the line passing through the points
A(6, –5) and B(–5, –7).
b.
y
x
–10
c.
y
a. 0
b.
x
c. undefined
d. -3
22. Find the slope of the line that contains (2, 4) and
–10
d.
y
a.
x
b. undefined
c. 0
d. 4
23. Write an equation that is parallel to
–10
a.
19. Which best describes the relationship between the
line that passes through (7, 1) and (10, 5) and the
line that passes through (–8, 5) and (–5, 9)?
a. same line
b. perpendicular
c. neither perpendicular nor parallel
d. parallel
20. A line
has slope
.
. The line that passes
through which of the following pairs of points is
parallel to
a. (6, –3) and (2, 6)
b. (12, –1) and (2, 8)
c. (–5, 2) and (6, 6)
d. (–3, 2) and (6, 6)
21. Determine the slope of the line graphed below.
b.
c.
d.
24. Write an equation that is parallel to
and passes through (0, 0).
a.
b.
c.
d.
25. Which best describes the relationship between the
lines with equations
?
a. neither parallel nor perpendicular
b. same line
c. parallel
d. perpendicular
26. What is the slope of a line perpendicular to the line
?
a.
2

9
b. 2
9
c.
9

2
d. 9
2
27. Write the slope-intercept form of the equation of
the line passing through the point (–2, –5) and
2
perpendicular to the line y = x – 1.
3
a.
3
y=  x– 8
2
b.
2
11
y= x+
3
3
c.
3
y= x+ 2
2
d.
2
19
y=  x–
3
3
28. Graph the equation
.
a.
c.
d.
29. Classify PQR.
b.
a. none of these
b. Isosceles
c. Scalene
d. Equilateral
30. A triangle has angle measures of 60°, 60°, and 60°.
Choose the term that describes the triangle.
a. Equiangular
b. Right
c. Obtuse
d. Scalene
31. How many obtuse angles can an isosceles triangle
have?
a. 2
b. 3
c. 0
32. Find the value of x:
d. 1
a. 127°
33. Find the value of x.
b. 35°
c. 88°
d. 145°
a. 117
34. Find the value of x.
b. 297
c. 66
d. 51
a.
°
b.
°
35. Find the measure of the interior angles to the
nearest tenth. (Drawing is not to scale.)
c.
°
d.
°
a. 70.9°, 19.1°, 90.0°
b. 66.9°, 22.1°, 91.0°
c. 67.8°, 25.2°, 87.0°
d. 68.4°, 21.1°, 90.5°
36. Refer to the figure below.
.
a.
b.
c.
d.
100°
17°
148°
15°
37. What is the value of z? (The figure may not be drawn to scale.)
a.
38. Solve for x, given that
equilateral?
b.
c.
. Is
d.
d. vertex
41. Solve for x given
=
and
Assume B is the midpoint of
midpoint of
C
39. Find the measure of exterior angle A.
B
A
40. In a triangle, a segment connecting the midpoints of
two sides of the triangle is called a _____.
a. shortcut
b. midsegment
c. centroid
a.

b. 4
c. 2
D
E
1
2
=
and D is the
.
d.
y
1
4
42. For the triangle shown, VS = 5 and VQ = 6. Then
PQ = ______.

5
–5
5
x
–5
a. 11
b. 12
c. 10
d. 5
43. Your town is holding local elections. The town sets
up three polling stations around the area that form a
triangle. They decide to meet at the circumcenter of
their locations. The circumcenter is equidistant
from the three
of the triangle formed by
the polling stations.
a. vertices
b. angles
c. angle bisectors
d. sides
44. If
is the perpendicular bisector of
KGF  ______.
a. (1, 1)
b.
3
3
( ,  )
2
2
c.
1
( , 1)
2
d.
3
1
( ,  )
2
2
46. In the diagram below,
bisector of
. Then
is the perpendicular
.
, then
a.
b.
c.
d.
a. KHF
b. FKG
c.
d. KFH
45. For the triangle, find the coordinates of the point of
concurrency of the perpendicular bisectors of the
sides.
47. Given:
and
a. 51
bisects DAB . Find ED if
(not drawn to scale)
b. 540
c. 39
d. 21
53. If
, then x = ______.
a.
Refer to the figure below.
b. 7
c. 4
d. 3
54. If
, which of the following is NOT true?
a.
b. PS = RQ
c.
Given:

48. A median of
a.
, ABE  EBC
is ____.
b.
c.
d.
49. An altitude of
a.
is ____.
b.
c.
d.
50.
is an altitude of
. Therefore,
is
______.
a. right
b. equilateral
c. isosceles
d. acute
51. Which side lengths allow you to construct a
triangle?
a.
b.
c.
d.
52. Which of these lengths could be the sides of a
triangle?
a. 15 cm, 4 cm, 20 cm
b. 3 cm, 15 cm, 20 cm
c. 11 cm, 5 cm, 16 cm
d. 5 cm, 12 cm, 16 cm
d. PR = SQ
55. A national forest service wanted to estimate the
number of deer in a particular national park. They
caught and tagged 72 deer and released them back
into the park. Later they selected a sample of 323
deer. Of the 323 deer, 19 were tagged. Assuming
that the proportion of tagged deer in the sample
holds for all deer in the forest, what is the best
estimate of the number of deer in the park?
a. 12,226
b. 46,512
c. 1619
d. 1224
56. A worker in an assembly line takes 5 hours to
produce 26 parts. At that rate, how many parts can
she produce in 20 hours?
a. 520 parts
b. 6 parts
c. 104 parts
d. 208 parts
57. Given that
solve for x and y.
a.
b.
c.
d.
a.
b.
c.
d.
18.4
6.8
48
24
58. The perimeter of PQR is 80, PQ = 30, PQR
STU, and ST = 18. What is the perimeter of
STU?
59. Find the length of the leg of this right triangle. Give an approximation to 3 decimal places.
a. 12.329
c. 12.650
b. 11.916
d. 27.019
60. How long is a string reaching from the top of a
62. Solve for a and b.
13-ft pole to a point on the ground that is 7 ft from
the base of the pole?
a.
ft
b.
40
ft
c.
ft
50
d.
ft
61. Which set of lengths cannot form a right triangle?
30
a. 6 mm, 12 mm, 13 mm
b. 5 mm, 12 mm, 13 mm
c. 2.5 mm, 6 mm, 6.5 mm
b
d. 10 mm, 24 mm, 26 mm
63. Find a, b, and h.
64. In a 45°-45°-90° triangle, the ratio of the length of
the hypotenuse to the length of a side is _____.
a. 1:1
b.
:1
c.
:1
d. 2:1
65. The shorter leg of a 30°-60°-90° triangle is 8.5 feet
long. Find the perimeter.
a.
ft
b.
ft
c.
d.
66. The tangent of
a
ft
ft
is _____.
c.
d.
a.
b.
67. A photographer shines a camera light at a particular painting forming an angle of 40° with the camera platform. If
the light is 58 feet from the wall where the painting hangs, how high above the platform is the painting?
a. 1.19 ft
68. Write cos B.
b. 48.67 ft
c. 69.12 ft
d. 0.84 ft
c.
d.
a.
b.
c.
d.
69. The cosine of
a.
b.
is the ratio _____.
70. Assume that
is an acute angle and tan A =
1.230. The measure of
is _____.
a. about 39.1°
b. about 7.01°
c. about 50.9°
d. about 129.9°
71. Find the missing angle and side measures of ABC,
given that mA = 65°, mC = 90°, and CB = 15.
a.
B = 25°, c = 16.6, b = 7
b.
B = 155°, c = 16.6, b = 7.5
c.
B = 155°, c = 16.6, b = 7
d.
B = 25°, c = 16.1, b = 7
72. Find the number of vertices, faces, and edges for
the figure below.
a.
b.
c.
d.
6 vertices, 6 faces, 10 edges
5 vertices, 6 faces, 10 edges
7 vertices, 7 faces, 11 edges
10 vertices, 6 faces, 6 edges
73. A prism is a polyhedron that has two faces called
bases that are always _____.
a. congruent and parallel
b. rectangular
c. isosceles right triangles
d. perpendicular with the lateral edges
74. Find the surface area of the triangular prism.
a. 62,396.4 cm2
c. 1271.7 cm2
2
b. 2225.5 cm
d. 635.9 cm2
75. Find the surface area of the lateral faces on the
regular pyramid below.
a.
b.
c.
d.
336
532
168
84
76. The pyramid shown has a rectangular base and
faces that are isosceles triangles. Find the total
surface area to the nearest tenth.
a.
b.
c.
d.
86.0
75.8
37.3
73.9
77. An aquarium in a restaurant is a rectangular prism
and measures 4.5 feet by 4 feet by 2 feet. What is
the volume of the aquarium?
a. 32 cubic feet
b. 36 cubic feet
c. 10.5 cubic feet
d. 12.5 cubic feet
78. Find the exact volume of a cylinder that has a
height of 18 inches and a radius of 8 inches.
a. 384
b.
c.
d.
79. The volume of the pyramid below is _____.
a.
b.
c.
d.
126
195
126
378
80. Find the surface area of a sphere that has a diameter
of 16 cm. Express your answer in terms of .
a. 256
b. 64
c. 1024
d. 2048

3
Review for Geometry End-of-1st Semester Test
Answer Section
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
43.
B
B
C
D
C
A
B
D
A
D
C
A
A
D
C
D
D
B
D
D
C
C
B
C
B
C
A
A
B
A
D
D
D
A
D
B
C
x = 5; yes
127°
B
B
C
A
44.
45.
46.
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
A
A
C
C
B
C
A
D
D
B
D
D
C
B
C
A
C
A
62. a =
63.
64.
65.
66.
67.
68.
69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
45
75
;b=
2
2
a = 12, b =
C
D
A
B
B
A
C
A
A
A
C
A
B
B
C
A
A
,h=