AnswersMathematics ICompositions

Compositions — Quiz Answers

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21
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Which triangle shows the final image?

A
4
B
1
C
2
D
3
22
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Which rule describes the composition of transformations that maps triangle JKL to triangle cap j double prime cap k double prime cap l double prime ?

A
cap r sub o comma 90 degrees circ cap t sub negative 2 comma 0 open paren x comma y close paren
B
cap t sub negative 2 comma 0 circ cap r sub o comma 90 degrees open paren x comma y close paren
C
cap t sub 0 comma negative 2 circ cap r sub o comma 90 degrees open paren x comma y close paren
D
cap r sub o comma 90 degrees circ cap t sub 0 comma negative 2 open paren x comma y close paren
23

Which rule describes the composition of transformations that maps figure PQRS to figure cap p double prime cap q double prime cap r double prime cap s double prime ?

A
cap r sub cap s prime comma 270 degrees circ cap r sub cap q comma 180 degrees
B
cap r sub cap q comma 180 degrees circ cap r sub cap s prime comma 270 degrees
C
cap r circ r sub l
D
r sub l circ cap r sub cap q comma 180 degrees
24

What are the coordinates of vertex cap f double prime of triangle cap f double prime cap g double prime cap h double prime ?

A
open paren negative 0 point 5 comma 4 close paren
B
open paren 4 comma negative 0 point 5 close paren
C
open paren 4 comma negative 1 point 5 close paren
D
open paren negative 1 point 5 comma 4 close paren
25

What are the coordinates of vertex cap A of square ABCD ?

A
open paren negative 1 comma 6 close paren
B
open paren negative 1 comma negative 6 close paren
C
open paren negative 2 comma 1 close paren
D
open paren negative 1 comma negative 2 close paren
26

Triangle JKL is transformed using the rule cap r sub cap o comma 90 degrees circ r sub y is equal to negative x open paren x comma y close paren Point cap k of the pre-image is at open paren 4 comma 7 close paren What are the coordinates of point cap k double prime on the final image?

A
open paren 4 comma negative 7 close paren
B
open paren negative 4 comma negative 7 close paren
C
open paren 4 comma 7 close paren
D
open paren negative 7 comma negative 4 close paren
27

Which rule describes the composition of transformations that maps pre-image ABCD to final image cap A double prime cap b double prime cap c double prime cap d double prime ?

A
cap t sub negative 6 comma 1 circ cap r sub o comma 90 degrees open paren x comma y close paren
B
r sub x - axis circ cap t sub negative 6 comma 1 open paren x comma y close paren
C
cap r sub o comma 90 degrees circ cap t sub negative 6 comma 1 open paren x comma y close paren
D
cap t sub negative 6 comma 1 circ r sub x - axis open paren x comma y close paren
28

Which triangle shows the final image?

A
4
B
3
C
1
D
2
29

What is the final transformation in the composition of transformations that maps pre-image GHJK to image cap g prime cap h double prime cap j double prime cap k double prime ?

A
a 90 degrees rotation about point cap g
B
a 180 degrees rotation about point cap g
C
a translation to the right
D
a reflection across line m
30

Which composition of transformations maps figure EFGH to figure cap e double prime cap f double prime cap g double prime cap h double prime ?

A
a reflection across line k followed by a translation down
B
a translation down followed by a reflection across line k
C
a 180 degrees rotation about point cap g followed by a translation to the right
D
a translation to the right followed by a 180 degrees rotation about point cap g
31

Write the rule describes the composition of transformations that maps Triangle KLM to Triangle K''L''M'' Enter your answers in the boxes.

Answer:

90° clockwise about the origin|right 2 units

32

What mistakes did he make? Choose two correct answers.

A
He changed the size of the figure instead of just applying a rotation.
B
He applied the rotation to the pre-image first.
C
He applied the reflection to the pre-image first.
D
He used an incorrect angle of rotation around point cap p .
E
He used point cap p as the center of rotation.
33

Which rule describes the composition of transformations that maps figure PQRS to figure cap p double prime cap q double prime cap r double prime cap s double prime ?

A
cap r circ r sub l
B
cap r sub cap q comma 180 degrees circ cap r sub cap s prime comma 270 degrees
C
cap r sub cap s prime comma 270 degrees circ cap r sub cap q comma 180 degrees
D
r sub l circ cap r sub cap q comma 180 degrees
34

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

A
r sub m circ cap r sub cap b prime comma 270 degrees
B
cap r sub cap b prime comma 270 degrees circ r sub m
C
cap r sub cap b prime comma 90 degrees circ r sub m
D
r sub m circ cap r sub cap b prime comma 90 degrees
35

Which ordered pairs name the coordinates of vertices of the pre-image, trapezoid ABCD ? Choose two correct answers.

A
open paren 1 comma 1 close paren
B
open paren negative 1 comma negative 5 close paren
C
open paren 7 comma negative 5 close paren
D
open paren negative 1 comma 0 close paren
E
open paren 7 comma 0 close paren
36

What are the coordinates of vertex cap f of parallelogram FGHJ ?

A
open paren negative 2 comma 6 close paren
B
open paren negative 3 comma 4 close paren
C
open paren negative 2 comma 2 close paren
D
open paren negative 4 comma 2 close paren
37

Which rule describes the composition of transformations that maps pre-image ABCD to final image cap A double prime cap b double prime cap c double prime cap d double prime ?

A
cap r sub o comma 90 degrees circ cap t sub negative 6 comma 1 open paren x comma y close paren
B
cap t sub negative 6 comma 1 circ cap r sub o comma 90 degrees open paren x comma y close paren
C
r sub x - axis circ cap t sub negative 6 comma 1 open paren x comma y close paren
D
cap t sub negative 6 comma 1 circ r sub x - axis open paren x comma y close paren
38

Triangle JKL is transformed using the rule cap r sub cap o comma 90 degrees circ r sub y is equal to negative x open paren x comma y close paren Point cap k of the pre-image is at open paren 4 comma 7 close paren What are the coordinates of point cap k double prime on the final image?

A
open paren negative 7 comma negative 4 close paren
B
open paren 4 comma negative 7 close paren
C
open paren negative 4 comma negative 7 close paren
D
open paren 4 comma 7 close paren
39

What are the coordinates of vertex cap f of parallelogram FGHJ ?

A
open paren negative 2 comma 2 close paren
B
open paren negative 4 comma 2 close paren
C
open paren negative 2 comma 6 close paren
D
open paren negative 3 comma 4 close paren
40

Figure WXYZ is transformed using the rule r sub y - axis circ cap t sub negative 4 comma 2 open paren x comma y close paren Point cap w of the pre-image is at open paren 1 comma 6 close paren What are the coordinates of point cap w double prime on the final image?

A
open paren 5 comma negative 8 close paren
B
open paren 3 comma 8 close paren
C
open paren negative 5 comma 8 close paren
D
open paren negative 3 comma negative 8 close paren

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