AnswersGeometry Concepts and ConnectionsN/A

Practice Exam Answers

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1
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What is the length of line segment MN ?

A
75 cm
B
58 cm
C
88 cm
D
116 cm
2
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Which rigid transformation would map triangle cap A cap b cap c to triangle cap e cap d cap c ?

A
a rotation about point cap b
B
a reflection across the line containing line segment cap c cap b
C
a reflection across the line containing line segment cap A cap c
D
a rotation about point cap c
3

What is the measure of angle 15 ?

A
m angle 15 is equal to 83 degrees
B
m angle 15 is equal to 77 degrees
C
m angle 15 is equal to 93 degrees
D
m angle 15 is equal to 97 degrees
4

What is the length of line segment MX ?

A
9 in.
B
8 in.
C
6 in.
D
7 in.
5

What is the value of x ?

A
5 point 5
B
5 point 3 7 5
C
13
D
11
6

Which rule describes the transformation?

A
cap r sub 0 comma 180 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma 270 degrees
D
cap r sub 0 comma 360 degrees
7

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 x cap y ; corresponding angles of similar triangles
C
angle cap A cap b cap c is congruent to angle cap A cap y cap x ; corresponding angles of similar triangles
D
angle cap A is congruent to angle cap A ; reflexive property
8

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

A
6 units
B
8 units
C
2 units
D
4 units
9

Holly finds that open paren 11 m minus 13 n plus 6 m n close paren minus open paren 10 m minus 7 n plus 3 m n close paren is equal to m minus 20 n plus 9 m n What error did Holly make?

A
She only used the additive inverses of negative 7 n and 3 m n when combining like terms.
B
She only used the additive inverse of 10 m when combining like terms.
C
She did not combine all like terms.
D
She added the polynomials instead of subtracting.
10

The volume of a rectangular prism is given by the formula cap v is equal to l w h , where l is the length of the prism, w is the width, and h is the height. Which expression represents the volume of the following rectangular prism? Expand Image

A
6 x cubed plus 27 x squared plus 54 x
B
18 x to the 4th power plus 117 x cubed plus 162 x squared
C
6 x cubed plus 39 x squared plus 54 x
D
2 x squared plus 13 x plus 18
11

Triangle EFG has vertices cap e times open paren negative 3 comma 4 close paren , cap f of open paren negative 5 comma negative 1 close paren , and cap g of open paren 1 comma 1 close paren The triangle is translated so that the coordinates of the image are cap e prime times open paren negative 1 comma 0 close paren , cap f prime times open paren negative 3 comma negative 5 close paren , and cap g prime times open paren 3 comma negative 3 close paren Which rule was used to translate the image?

A
cap t sub 4 comma negative 4 times open paren x comma y close paren
B
cap t sub negative 4 comma negative 4 times open paren x comma y close paren
C
cap t sub 2 comma negative 4 times open paren x comma y close paren
D
cap t sub negative 2 comma negative 4 times open paren x comma y close paren
12

Which pair of triangles can be proven congruent by SAS?

A
Image with description 2 right triangles are shown. They have 2 congruent sides and a congruent angle. The first triangle is reflected across the shared side to form the second triangle.
B
Image with description 2 triangles with identical angle measures are shown. The second triangle is shifted to the right.
C
Image with description 2 triangles are shown. They have 2 congruent sides and a congruent angle. The first triangle is rotated about a point to form the second triangle.
D
Image with description 2 triangles are shown. They have a common and congruent side and 2 congruent angles. The first triangle is rotated about a shared side to form the second triangle.
13

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle cap A to side line segment BC at point cap m What is the length of line segment MC ?

A
24 mm
B
48 mm
C
32 mm
D
16 mm
14

Which pair of triangles can be proven congruent by the HL theorem?

A
Image with description 2 triangles have one congruent angle and 2 congruent sides.
B
Image with description 2 right triangles have congruent hypotenuses and another congruent side.
C
Image with description 2 right triangles have congruent hypotenuses.
D
Image with description 2 triangles have 3 congruent sides.
15

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

A
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.
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 similar. Two angles within each triangle are always congruent.
D
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.
16

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

A
AAS
B
SSS
C
ASA
D
HL
E
SAS
17

What is the value of x ?

A
11
B
13
C
5 point 3 7 5
D
5 point 5
18

Which statement best describes the polynomial? 6 minus 8 y plus 14 y to the 7th power plus 16 y to the 8th power

A
It is in standard form because the coefficients are in order from lowest to highest.
B
It is not in standard form because the exponents are not in order from highest to lowest.
C
It is in standard form because the exponents are in order from lowest to highest.
D
It is not in standard form because it can be further simplified.
19

Which diagram shows lines that must be parallel lines cut by a transversal?

A
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the top right angle is labeled as 91 degrees, and the bottom left angle is labeled as 91 degrees.
B
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the bottom right angle is labeled as 91 degrees. The second line intersects the transversal creating 4 angles, the top right angle is labeled as 89 degrees.
C
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the top right angle is labeled as 89 degrees, and the bottom right angle is labeled as 91 degrees.
D
Image with description Parallel lines are cut by a transversal. The first line intersecting the transversal creates 4 angles, the top right angle is labeled as 91 degrees. The second line intersecting the transversal creates 4 angles, the bottom right angle is labeled as 91 degrees.
20

What is m angle ABC ?

A
m angle ABC is equal to 120 degrees
B
m angle ABC is equal to 67 degrees
C
m angle ABC is equal to 60 degrees
D
m angle ABC is equal to 127 degrees

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