AnswersGeometrySimilarity Transformations

Practice Test Answers

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1
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Which statements are correct? Choose three correct answers.

A
BR over RD is equal to BS over SC
B
If the ratio of BR to BD is 2 thirds , then it is possible that BS is equal to 6 and BC is equal to 3 .
C
BR over RS is equal to BS over SC
D
triangle BCD is similar to triangle BSR .
E
BR times SC is equal to RD times BS
2
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Which statements are true? Choose two correct answers.

A
angle cap r corresponds to angle cap p prime cap q cap q prime .
B
triangle PQR is congruent to triangle cap p prime cap q prime cap q
C
Segment QQ prime is parallel to segment PP prime .
D
angle PQR corresponds to angle QPQ prime .
E
Side RQ corresponds to side QQ prime .
3

Which transformations could have taken place to map triangle ABC to triangle cap A double prime cap b double prime cap c double prime ?

A
a rotation and a dilation
B
a translation and a dilation
C
a reflection and a translation
D
a reflection and a dilation
4

Which statement describes the transformation of circle M to circle N?

A
The circle was translated down 1 unit and dilated by a factor of 2 .
B
The circle was translated down 5 units and dilated by a factor of 1 third .
C
The circle was translated down 1 unit and dilated by a factor of 3 .
D
The circle was translated down 5 units and dilated by a factor of 1 half .
5

What is the value of x ?

A
12 units
B
20 units
C
24 units
D
15 units
6

To prove that triangle cap v cap w cap z approximates triangle cap y cap x cap z by the SAS similarity theorem, which other sides or angles should be used?

A
line segment cap w cap v and line segment cap x cap y
B
line segment cap w cap v and line segment cap z cap y
C
angle cap v cap w cap z is congruent to angle cap y cap x cap z
D
angle cap v cap z cap w is congruent to angle cap y cap z cap x
7

Jose also has to state that

A
angle cap A is congruent to angle cap A cap c cap b .
B
angle cap A is congruent to angle cap A cap b cap c .
C
angle cap A is congruent to angle cap d .
D
angle cap A is congruent to angle cap A .
8

Which transformation was applied to triangle A?

A
rotation
B
dilation
C
reflection
D
translation
9

Which value of x would make line segment FG is parallel to line segment BC ?

A
3
B
6
C
9
D
1
10

Which triangle is similar to triangle JKL ?

A
triangle JKM
B
triangle LJK
C
triangle MKL
D
triangle KML
11

What is the location of point cap g , which partitions the directed line segment from cap d to cap f into a ratio of 5 to 4 ratio? Expand Image

A
negative 1
B
0
C
3
D
2
12

Point cap p partitions the directed segment from cap A to cap b into a ratio of 1 to 3 ratio. cap q partitions the directed segment from cap b to cap A into a ratio of 1 to 3 ratio. Are cap p and cap q the same point? Why or why not?

A
Yes, they are both 1 fourth the distance from one endpoint to the other.
B
No, cap q is closer to cap A and cap p is closer to cap b .
C
No, cap p is 1 fourth the distance from cap A to cap b , and cap q is 1 fourth the distance from cap b to cap A .
D
Yes, they both partition the segment into a ratio of 1 to 3 ratio.
13

Which graph shows a dilation?

A
Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 1 comma 0), (negative 1 comma 1), and (2 comma 0), and the vertices of the larger triangle are (negative 2 comma 0), (negative 2 comma 3), and (4 comma 0).
B
Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 2 coma 0), (negative 2 comma 2), and (1 comma 0), and the vertices of the larger triangle are (negative 3 comma 0), (negative 3 comma 4), and (2 comma 0).
C
Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 2 comma 0), (negative 2 comma 1), and (0 comma 0), and the vertices of the larger triangle are (negative 3 comma 0), (negative 3 comma 4), and (2 comma 0).
D
Image with description On a coordinate plane, the x and y axes range from negative 4 to positive 4 in increments of 1. 2 triangles are shown. The vertices of the smaller triangle are (negative 1 comma 0), (negative 1 comma 2), and (3 comma 0), and the vertices of the larger triangle are (negative 2 comma 0), (negative 2 comma 3), and (4 comma 0).
14

triangle XYZ was dilated, then _____________, to create triangle QAG

A
dilated
B
rotated
C
reflected
D
translated

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