AnswersMASTER COURSE GeometrySimilarity Transformations

Practice Test Answers

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1
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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
angle cap v cap w cap z is congruent to angle cap y cap x cap z
B
line segment cap w cap v and line segment cap x cap y
C
line segment cap w cap v and line segment cap z cap y
D
angle cap v cap z cap w is congruent to angle cap y cap z cap x
2
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Which graph shows a dilation?

A
Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 3 grid squares tall and a horizontal bottom side 6 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 1 grid square tall and a horizontal bottom side 3 grid squares long, with a slanted side connecting their endpoints.
B
Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 3 grid squares tall and a horizontal bottom side 6 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 2 grid squares tall and a horizontal bottom side 4 grid squares long, with a slanted side connecting their endpoints.
C
Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 4 grid squares tall and a horizontal bottom side 5 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 1 grid square tall and a horizontal bottom side 2 grid squares long, with a slanted side connecting their endpoints.
D
Image with description Coordinate plane with x- and y-axes labeled and an unlabeled square grid. A larger right triangle has a vertical left side 4 grid squares tall and a horizontal bottom side 5 grid squares long, with a slanted side connecting their endpoints. A smaller right triangle has a vertical left side 2 grid squares tall and a horizontal bottom side 3 grid squares long, with a slanted side connecting their endpoints.
3

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? Open image in full-screen view

A
2
B
0
C
negative 1
D
3
4

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 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 .
C
Yes, they both partition the segment into a ratio of 1 to 3 ratio.
D
No, cap q is closer to cap A and cap p is closer to cap b .
5

Which triangle is similar to triangle JKL ?

A
triangle KML
B
triangle JKM
C
triangle LJK
D
triangle MKL
6

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

A
6
B
3
C
1
D
9
7

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

A
translated
B
rotated
C
reflected
D
dilated
8

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 translation and a dilation
B
a reflection and a dilation
C
a reflection and a translation
D
a rotation and a dilation
9

What is the value of x ?

A
15 units
B
20 units
C
24 units
D
12 units
10

Which statements are correct? Choose three correct answers.

A
BR times SC is equal to RD times BS
B
BR over RD is equal to BS over SC
C
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 .
D
BR over RS is equal to BS over SC
E
triangle BCD is similar to triangle BSR .
11

What is the scale factor of the dilation of triangle DEF ?

A
7 thirds
B
3 sevenths
C
3 tenths
D
7
12

If RD is equal to 15 , what is RD prime ?

A
6 units
B
9 units
C
5 units
D
3 units
13

Which statements are true? Choose two correct answers.

A
angle PQR corresponds to angle QPQ prime .
B
angle cap r corresponds to angle cap p prime cap q cap q prime .
C
Side RQ corresponds to side QQ prime .
D
Segment QQ prime is parallel to segment PP prime .
E
triangle PQR is congruent to triangle cap p prime cap q prime cap q
14

Jose also has to state that

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

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