Rotations — Quiz Answers

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21
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Which shows the image of quadrilateral ABCD after the transformation cap r sub 0 comma 90 degrees ?

A
Image with description On a coordinate plane, the scale on the x and y axes range from negative 5 to 5 in increments of 2. A rectangle A prime B prime C prime D prime is on the graph with the vertices A prime (1 comma 0), B prime (0 comma 1), C prime (2 comma 3), D prime (3 comma 2).
B
Image with description On a coordinate plane, the scale on the x and y axes range from negative 5 to 5 in increments of 2. A rectangle A prime B prime C prime D prime is on the graph with the vertices A prime (0 comma 1), B prime (0 comma negative 1), C prime (negative 3 comma 2), D prime (negative 2 comma 3).
C
Image with description On a coordinate plane, the scale on the x and y axes range from negative 5 to 5 in increments of 2. A rectangle A prime B prime C prime D prime is on the graph with the vertices A prime (0 comma negative 1), B prime (1 comma 0), C prime (3 comma negative 2), D prime (2 comma negative 3).
D
Image with description On a coordinate plane, the scale on the x and y axes range from negative 5 to 5 in increments of 2. A rectangle A prime B prime C prime D prime is on the graph with the vertices A prime (0 comma negative 1), B prime (negative 1 comma 0), C prime (negative 3 comma negative 2), D prime (negative 2 comma negative 3).
23

Trapezoid GHJK was rotated 180 degrees about the origin to determine the location of cap g prime cap h prime cap j prime cap k prime , as shown on the graph. What are the coordinates of pre-image point cap h ?

A
open paren 3 comma negative 2 close paren
B
open paren negative 2 comma 3 close paren
C
open paren 2 comma 3 close paren
D
open paren 3 comma 2 close paren
25

Which rules could describe the rotation? Choose two correct answers.

A
cap r sub 0 comma 180 degrees
B
cap r sub 0 comma 90 degrees
C
cap r sub 0 comma 270 degrees
D
open paren x comma y close paren rightarrow open paren negative y comma x close paren
E
open paren x comma y close paren rightarrow open paren negative x comma negative y close paren
27

Which rules could describe the rotation? Choose two correct answers.

A
cap r sub 0 comma 90 degrees
B
cap r sub 0 comma 180 degrees
C
open paren x comma y close paren rightarrow open paren y comma negative x close paren
D
open paren x comma y close paren rightarrow open paren negative y comma x close paren
E
cap r sub 0 comma 270 degrees
28

Which shows the image of triangle RST after the rotation open paren x comma y close paren rightarrow open paren y comma negative x close paren ?

A
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (2 comma 1), S prime (negative 1 comma 3), T prime (1 comma 7).
B
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (1 comma negative 2), S prime (3 comma 1) and T prime (7 comma negative 1).
C
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (negative 1 comma negative 2), S prime (negative 3 comma 1), T prime (negative 7 comma negative 1).
D
Image with description On a coordinate plane, the scale on the x and y axes range from negative 8 to 8 in increments of 2. A triangle R prime S prime T prime is on the graph with vertices at R prime (1 comma 2), S prime (3 comma negative 1), T prime (7 comma 1).
29

For the transformation to be defined as a rotation, which statements must be true? Choose three correct answers.

A
The segment connecting the center of rotation, cap c , to a point on the pre-image (figure 1 ) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2 ).
B
The transformation is rigid.
C
Every point on figure 1 moves through the same angle of rotation about the center of rotation, cap c , to create figure 2 .
D
Segment CP is parallel to segment CP prime .
E
If figure 1 is rotated 180 degrees about point cap c , it will be mapped onto itself.

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Rotations — Quiz Answers — Mathematics I