Geometry Midterm Review (2)
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. The perimeter of a rectangle is 36. The ratio of the lengths of the sides is 2 :
7. What are the lengths of the sides?
a. 4 and 14
c. 2 and 12
b. 6 and 16
d. 8 and 28
2. Which of the following pairs of numbers has a geometric mean of 44?
a. 3 and 72
c. 16 and 121
b. 40 and 48
d. 2 and 484
3.
The triangles shown are similar. Which of the following is not a correct
statement?
a.
b.
c.
d.
4. The distance between two cities on a map is 7 centimeters. The map has a
scale of 1 cm : 20 km. Find the actual distance between the two cities.
a. 2.85 km
b. 0.35cm
c. 0.35km
d. 140 km
5. If
then which one of the following is not necessarily true?
a. ay = bx
ax a x
b.
 
b y b y
6.
If
a. 3
b. 3 1
3
b y

a x
yb xa

d.
b
a
c.
then what is the value of x?
c. 3 ¼
d. 3 ½
Geometry Midterm Review (2)
7.
8.
9.
What is the perimeter of
a. 114
b. 124
ABC?
c. 101
d. 117
What is CE?
a. 20
b. 11.25
c.
d.
What is the value of x in the figure shown?
a. 3
b. 5
c. 6
d. 4
10. In the diagram,
Find m MKL.
a. 110°
b. 145°
c. 90°
d. 70°
and
are angle bisectors of
25
14
MNL and m MNL = 110°.
11. A triangle has two sides that have lengths of 17 feet and 22 feet. Which of
the following lengths could not represent the length of the third side?
a. 21
c. 18
b. 32
d. 40
Use the figure.
12. Identify a median of
.
a. BF
b. GH
13. Identify an altitude of
c. AD
d. CE
.
a.
CE
b. GH
14. In ABC, if m ABF = 39° and
a. 90°
b. 45 °
c.
d.
BF
AD
is an angle bisector, find m BCE.
c. 51°
d. 12°
Geometry Midterm Review (2)
15. Which of the following terms can be used to describe a triangle that has no
congruent sides?
a. acute
c. isosceles
b. equilateral
d. scalene
16. Which of the following terms can be used to describe a triangle whose angle
measures are 30°, 120°, and 30°?
a. acute
c. equilateral
b. obtuse
d. right
17. Given
which side is congruent to
a.
b.
c.
d.
18. Which statement correctly describes the congruence of the triangles in the
diagram?
a.
c.
b.
d.
19. What is the measure of
a. 90°
b. 38°
c.
d.
104°
52°
20. Which postulate or theorem can be used to prove
a. SSS
b. ASA
c. AAS
d. HL
21. You are given the following information about
and
or postulate can be used to prove that
I.
II.
III.
a. SSA
b. AAS
c. ASA
d. SAS
Which theorem
Geometry Midterm Review (2)
22. What is the value of x?
a. 5
b. 35
c.
d.
10
15
23. What is the measure of
a. 142°
b. 128°
c. 118°
d. 132°
24. If two lines do not intersect and are not coplanar, then they must be
a. Parallel
c. skew
b. perpendicular
d. coplanar
25. In the diagram, how many lines can be drawn through point P that are parallel
to line
a. 0
b. 1
c. 2
d. 3
26. Which of the following is not true if
a.
b.
°
c.
and
are supplementary.
d.
27. Which of the following is an equation of a line parallel to
a.
b.
c.
d.
28. Which of the following is an equation of a line perpendicular to
a.
b.
c.
d.
Geometry Midterm Review (2)
29. Find the slope of the line that passes through the points (–2, 0) and (0, 4).
c. 4
a.
d. 2
b. -2
30. Which line passes through the point (0, 3) and has a slope of
a.
c.
b.
d.
31. In the diagram, find the value of x.
a. 24°
b. 15°
c. 30°
d. 90°
32. State the postulate or theorem you would use to prove that lines m and n are
parallel.
a. Alternate Interior Angles Converse
b. Alternate Exterior Angles Converse
c. Consecutive Interior Angles Convers
d. Corresponding Angles Converse
33. What is the converse of "If it is raining, then we will not go to the beach?"
a. If it is not raining, then we will go to the beach
b. We will go to the beach if and only if it is not raining.
c. If we go to the beach, then it is not raining.
d. If we do not go to the beach, then it is raining.
34. "If
a.
b.
c.
d.
then
Symmetric property of equality
Substitution property of equality
Addition property of equality
Subtraction property of equality
= 24" is an example of the
Geometry Midterm Review (2)
35. Two angles 3 and
m 3?
a. 102°
b. 2°
36. In ABCD,
a. 5
5 are each supplementary to
c. 78°
and
b. 10
4. If m 5 is 78°, what is
d. 90°
e. 180°
What is the value of x?
c. 7
d. 6
e. 15
37. In the diagram, 1
2. Which of the following is not true?
a.
3≅ 4
b. m 7 + m 2 + m 4 = 180°
c. m 3 + m 5 = m 4
d.
38.
a. 8
6≅ 7
Find the length of
b. 10
c. 4
d. 7
e. -7
39. Which statement(s) may be true about the two lines shown in the diagram?
I. The lines are coplanar.
II. The lines are parallel.
III. The lines intersect in one point.
a. I only
b. I and II only
c. II and III only
d. I and III only
40. What is the distance between point A(–3, 2) and point B(5, –1)?
a. 2.2
c. 8.5
b. 73
d. 11
Geometry Midterm Review (2)
41. In the diagram, what are the values of x and y?
a.
b.
c.
d.
42.
and
are complementary. The measure of
measure of
. What is
a. 22°
b. 22.5°
43.
and
in the diagram are
a. Vertical angles
b. Complementary
c. A linear pair
d. Supplementary
44. Given points
?
and
is three times the
c. 23°
d. 23.5°
.
find the coordinates of the midpoint
of
a.
c.
b.
d.
45. Which of the following statements is false?
a. A, B, C, and D are coplanar
b. A, B, and D are collinear.
c.
and
are opposite rays.
A, B, D, and E are coplanar.
46. Given
and a third ray AC in the interior of
and m CAD = 51°, then the two angles are
? .
a. Supplementary
b. Complementary and a linear pair
c. A linear pair
d. Supplementary and a linear pair
if m BAC = 129°
Geometry Midterm Review (2)