AnswersGeometrySimilarity Transformations

Practice Test Answers

14 verified answers
1
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What is the value of x ?

A
24 units
B
12 units
C
20 units
D
15 units
2
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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
7
B
negative 1
C
3
D
11
3

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

A
9 units
B
3 units
C
5 units
D
6 units
4

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 reflection and a translation
B
a rotation and a dilation
C
a reflection and a dilation
D
a translation and a dilation
5

Which triangle is similar to triangle JKL ?

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

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

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

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
3
B
2
C
negative 1
D
0
8

Which statements are correct? Choose three correct answers.

A
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 .
B
triangle BCD is similar to triangle BSR .
C
BR over RD is equal to BS over SC
D
BR times SC is equal to RD times BS
E
BR over RS is equal to BS over SC
9

What are the coordinates of point cap j prime ?

A
open paren negative 9 halves comma negative 4 close paren
B
open paren negative 2 comma negative 6 close paren
C
open paren negative 2 comma negative 4 close paren
D
open paren negative 9 halves comma negative 9 close paren
10

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 z cap w is congruent to angle cap y cap z cap x
D
angle cap v cap w cap z is congruent to angle cap y cap x cap z
11

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

A
dilated
B
translated
C
rotated
D
reflected
12

Which statements are true? Choose two correct answers.

A
Segment QQ prime is parallel to segment PP prime .
B
angle PQR corresponds to angle QPQ prime .
C
Side RQ corresponds to side QQ prime .
D
triangle PQR is congruent to triangle cap p prime cap q prime cap q
E
angle cap r corresponds to angle cap p prime cap q cap q prime .
13

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 .
C
angle cap A is congruent to angle cap A cap b cap c .
D
angle cap A is congruent to angle cap d .
14

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

A
6
B
9
C
1
D
3

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