AnswersMASTER COURSE GeometryN/A

Practice Exam Answers

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1
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What is m angle PHJ ?

A
120 degrees
B
160 degrees
C
100 degrees
D
140 degrees
2
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Which line segment is drawn in the figure?

A
line segment XZ
B
line segment YZ
C
line segment WZ
D
line segment WY
3

Angles 1 and 2 are complementary and congruent. What is the measure of angle 1 ?

A
45 degrees
B
30 degrees
C
75 degrees
D
50 degrees
4

What is the measure of angle 15 ?

A
m angle 15 is equal to 97 degrees
B
m angle 15 is equal to 77 degrees
C
m angle 15 is equal to 83 degrees
D
m angle 15 is equal to 93 degrees
5

Which statements are true based on the diagram? Choose three correct answers.

A
Line z intersects plane cap s at point cap c .
B
Plane cap s contains points cap b and cap e .
C
The line containing points cap A and cap b lies entirely in plane cap t .
D
Planes cap r and cap t intersect at line y .
E
Line v intersects lines x and y at the same point.
6

What is the value of x ?

A
8 units
B
2 square root of 3 units
C
4 units
D
4 square root of 3 units
7

What is the x -coordinate of the point that divides the directed line segment from cap k to cap j into a ratio of ratio of 1 to 3 ? x is equal to open paren the fraction with numerator m and denominator m plus n close paren times open paren x sub 2 minus x sub 1 close paren plus x sub 1

A
11
B
3
C
negative 1
D
7
8

Which statements are true about trapezoid ABCD and its translated image, cap A prime cap b prime cap c prime cap d prime ? Choose two correct answers.

A
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x plus 1 comma y minus 3 close paren .
B
The rule for the translation can be written as open paren x comma y close paren rightarrow open paren x minus 3 comma y plus 1 close paren .
C
The rule for the translation can be written as cap t sub negative 1 comma 3 times open paren x comma y close paren .
D
Trapezoid ABCD has been translated 3 units to the right and 1 unit up.
E
The rule for the translation can be written as cap t sub negative 3 comma 1 times open paren x comma y close paren .
9

What is the length of line segment MN ?

A
88 cm
B
58 cm
C
75 cm
D
116 cm
10

What will be the distance from the center of dilation, cap p , to the image cap s prime ?

A
4 units
B
8 units
C
2 units
D
6 units
11

What is the measure of angle cap m cap o cap p ?

A
122 degrees
B
61 degrees
C
29 degrees
D
58 degrees
12

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point open paren 2 comma 5 close paren ?

A
y plus 2 is equal to negative open paren x plus 5 close paren
B
y minus 2 is equal to x minus 5
C
y minus 5 is equal to negative open paren x minus 2 close paren
D
y plus 5 is equal to x plus 2
13

Which statement and reason are missing in the proof?

A
angle cap x is congruent to angle cap x ; reflexive property
B
angle cap A cap b cap c is congruent to angle cap A cap y cap x ; corresponding angles of similar triangles
C
angle cap A cap b cap c is congruent to angle cap A cap x cap y ; corresponding angles of similar triangles
D
angle cap A is congruent to angle cap A ; reflexive property
14

Which point is on the line that passes through point cap r and is perpendicular to line PQ ?

A
open paren 0 comma negative 1 close paren
B
open paren negative 4 comma negative 8 close paren
C
open paren negative 6 comma 10 close paren
D
open paren 2 comma 4 close paren
15

What are the coordinates of the image of vertex cap r after a reflection across the y -axis?

A
open paren 4 comma negative 3 close paren
B
open paren negative 3 comma negative 4 close paren
C
open paren negative 4 comma 3 close paren
D
open paren 3 comma 4 close paren
16

Point cap f prime corresponds to

A
point cap e .
B
point cap d .
C
point cap f .
D
point cap e prime .
17

How many reflectional symmetries does a regular decagon have?

A
10
B
5
C
15
D
20
18

Which congruence theorems can be used to prove triangle ABR is congruent to triangle ACR ? Choose three correct answers.

A
ASA
B
SSS
C
AAS
D
SAS
E
HL
19

Which pair of triangles can be proven congruent by SAS?

A
Image with description Two separate, unlabeled triangles are shown with the same orientation. In each triangle, the top angle has double arc marks, the lower-left angle has triple arc marks, and the lower-right angle has one arc mark. No side tick marks are shown.
B
Image with description Two unlabeled triangles meet at a central intersection point. A nearly horizontal segment passes through the intersection; the segment on each side of the intersection has matching single tick marks. A slanted segment also passes through the intersection; the segment on each side of the intersection has matching double tick marks. Matching angle marks are shown at the intersection between the single-tick and double-tick sides of each triangle.
C
Image with description A figure is divided into two unlabeled triangles by a segment from the top vertex to a lower center vertex. The dividing segment has double tick marks. A single arc mark spans the full angle at the top vertex between the two outer sides. Matching double arc marks are shown at the lower-left vertex and the right vertex.
D
Image with description A large unlabeled triangle is divided into two smaller triangles by a vertical segment from the top vertex to the base. The two outer slanted sides have matching single tick marks, the shared vertical segment has a single tick mark, and right-angle markers are shown where the vertical segment meets the base.
20

Which best explains whether or not all isosceles triangles are similar?

A
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
B
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180 degrees . Therefore, the third angle can always be determined.
C
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
D
All isosceles triangles are similar. Two angles within each triangle are always congruent.

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