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Practice Exam Answers

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21
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What is the measure of angle cap m cap o cap p ?

A
122 degrees
B
61 degrees
C
29 degrees
D
58 degrees
22
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Which rule describes the transformation?

A
cap r sub 0 comma 270 degrees
B
cap r sub 0 comma 360 degrees
C
cap r sub 0 comma 180 degrees
D
cap r sub 0 comma 90 degrees
23

What is the measure of angle 15 ?

A
m angle 15 is equal to 77 degrees
B
m angle 15 is equal to 93 degrees
C
m angle 15 is equal to 97 degrees
D
m angle 15 is equal to 83 degrees
24

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

A
open paren negative 3 comma negative 4 close paren
B
open paren negative 4 comma 3 close paren
C
open paren 4 comma negative 3 close paren
D
open paren 3 comma 4 close paren
25

Which best explains whether or not triangle ABC is congruent to triangle LMN ?

A
The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map triangle ABC onto triangle LMN .
B
The figures are congruent because a 180 degrees rotation about the origin and then a reflection over the x -axis will map triangle ABC onto triangle LMN .
C
The figures are congruent because a 270 degrees rotation about the origin and then a reflection over the x -axis will map triangle ABC onto triangle LMN .
D
The figures are not congruent because point cap b corresponds with point cap n and point cap c corresponds with point cap m .
26

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

A
open paren negative 6 comma 10 close paren
B
open paren 2 comma 4 close paren
C
open paren negative 4 comma negative 8 close paren
D
open paren 0 comma negative 1 close paren
27

What is m angle ABC ?

A
m angle ABC is equal to 127 degrees
B
m angle ABC is equal to 60 degrees
C
m angle ABC is equal to 67 degrees
D
m angle ABC is equal to 120 degrees
28

Which rigid transformation would map triangle cap A cap b cap c to triangle cap e cap d cap c ?

A
a reflection across the line containing line segment cap A cap c
B
a rotation about point cap b
C
a rotation about point cap c
D
a reflection across the line containing line segment cap c cap b
29

What is the missing reason in the proof? Statements Reasons 1. line segment ST is the perpendicular bisector of line segment RV 1. given 2. angle STR and angle STV are right angles. 2. def. of perpendicular bisector 3. line segment RS is congruent to line segment VS 3. ? 4. line segment ST is congruent to line segment ST 4 reflexive property 5. triangle RST is congruent to triangle VST 5. HL theorem

A
perpendicular bisector theorem
B
Pythagorean theorem
C
converse of the perpendicular bisector theorem
D
SSS congruence theorem
30

In triangle ABC , BG is equal to 24 mm. What is the length of segment GE ?

A
12 mm
B
24 mm
C
48 mm
D
36 mm
31

Which line segment is drawn in the figure?

A
line segment WZ
B
line segment XZ
C
line segment WY
D
line segment YZ
32

Which statement and reason are missing in the proof?

A
angle cap A is congruent to angle cap A ; 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 x is congruent to angle cap x ; reflexive property
D
angle cap A cap b cap c is congruent to angle cap A cap x cap y ; corresponding angles of similar triangles
33

Which rule describes the composition of transformations that maps triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
r sub x - axis circ cap t sub negative 6 comma negative 2 open paren x comma y close paren
B
cap t sub negative 6 comma negative 2 circ r sub x - axis open paren x comma y close paren
C
cap r sub o comma 90 degrees circ cap t sub negative 6 comma negative 2 open paren x comma y close paren
D
cap t sub negative 6 comma negative 2 circ cap r sub o comma 90 degrees open paren x comma y close paren
34

To the nearest tenth, what is the y -coordinate for point A?

A
4 point 8
B
4 point 7
C
4 point 5
D
4 point 6
35

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
negative 1
B
3
C
7
D
11
36

How many reflectional symmetries does a regular decagon have?

A
10
B
15
C
5
D
20
37

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

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

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