Transformations Review

Translations

100

Find A', the image of A(2, 6) after the translation T_-2,8 

A'(0, 14)

200

Find B', the image of B(-4, 0) after the translation T_3,-1

B'(-1, -1)

300

What is the image of the point (-3, 6) after the translation T_5,-2

(2, 4)

400

What is the image of point (-2, 5) under the translation T_0,4

(-2, 9)

500

The image of point (3, 5) under translation T is (-2, 6). What is the image of point (2, 0) under the same translation?

(-3, 1)

Reflections

100

What are the coordinates of point P, the image of point (2, -1) after a reflection in the x-axis?

(2, 1)

200

Point A is located at (4, 5). The point is reflected in the y-axis. Its image is located at:

(-4, 5)

300

Find B', the image of B(-2, 6) after the reflection r_origin.

B'(2, -6)

400

Find C', the image of C(-6, -7) after a reflection in the line y=x.

C'(-7, -6)

500

What are the coordinates of point D, the image of point (-5, 9) after a reflection in the line y= -x? 

(-9, 5)

Rotations

100

Find the image of A(-1, 9) after a rotation R₉₀^.

A'(-9, -1)

200

Find B', the image of B(7, 3) under R₂₇₀^.

(3, -7)

300

Find C', the image of C(0, 5) under R₁₈₀^.

(0, -5)

400

Find the image of (-2, -4) after the rotation R_-90^.

(-4, 2)

500

Find the image of (-3, 0) after the rotation R_-270^.

(0, -3)

Dilation

100

Find the image of (3, 2) under D₂

(6, 4)

200

Find A', the image of A(-4, 6) under D₃

(-12, 18)

300

Find B', the image of B(0, 5) under D₅

(0, 25)

400

Find C', the image of C(-2, 1) under D_-2

(4, -2)

500

What is the image of the point (-9, 3) under D_1/3 

(-3, 1)