Transformations

Translations

100

Translate the point (2,3) with the vector <3,4>

(5,7)

200

Translate the point (-3,5) with the vector <-2,-7>

(-5,-2)

300

In what quadrant will the image of point A(5,6) be after a translation with the vector <-7,2>. 

Quadrant 2

400

Point A' with coordinates (4,-2) is the result of the following translation rule (x,y)-->(x-2, y-2). What are the coordinates of the pre-image.

(6,0)

500

Point A' with coordinates (6,7) is the result of the following translation rule (x,y)-->(x+3, y-7). What are the coordinates of the pre-image?

(3,14)

Reflections

100

What is the image of the point (1,7) after a reflection in the y-axis?

(-1,7)

200

What is the image of the point (-2,3) after a reflection over the line y=-x?

(-3,2)

300

The point (8,2) is reflected over the line y=x. What quadrant is it's image found in?

(2,8)

400

Point A' with coordinates (7,-1) is the result of a reflection in the x-axis. What are the coordinates of the pre-image?

(-7,-1)

500

Point A' with coordinates (-4,-2) is the result of a reflection in the y=x. What are the coordinates of the pre-image?

(-2,-4)

Rotations

100

What is the image of the point (-4,-5) after a 90^o rotation?

(5,-4)

200

What is the image of the point (2,-4) after a 270^o rotation?

(-4,-2)

300

Point A, with coordinates (4,2) is rotated 180^o. In what quadrant is it's image, A', located?

Quadrant 3

400

Point A' with coordinates (-1,-4) is the result of a 270^o rotation. What are the coordinates of the pre-image?

(4,-1)

500

Point A' with coordinates (5,-3) is the result of a 90^o rotation. What are the coordinates of the pre-image?

(-3,-5)

Dilations

100

What are the coordinates for the image of the point (2,4) after a dilation with scale factor k=3?

(6,12)

200

What are the coordinates for the image of the point (-4,2) after a dilation with scale factor k=1/2?

(-2,1)

300

The point A (3,2) is dilated. It's image, A', has coordinates (12,8). What is the scale factor for this dilation?

k=4

400

The point A (5,10) is dilated. It's image, A', has coordinates (-1,-2). What is the scale factor for this dilation?

k=-1/5

500

Point A' with coordinates (2,-8) is the result of a dilation with scale factor k=-2. What are the coordinates of the pre-image?

(-1,4)

Compositions

100

What are the coordinates for A'' after performing the composition below on point A (2,3)

-Reflect over the x-axis
-Translate (x,y)-->(x+1,y+6)

(3,3)

200

What are the coordinates for A'' after performing the composition below on point A (-3,3)

-Rotate 90^o
-Reflect over the line y=x

(-3,-3)

300

What are the coordinates for A'' after performing the composition below on point A (-7,10)

-Rotate 180^o
-Dilate with scale factor k=2

(14,-20)

400

What are the coordinates for A''' after performing the composition below on point A (6,-2)

-Translate (x,y)-->(x+2,y-3)
-Rotate 90^o
-Reflect in the line y=-x

(-8,-5)

500

What are the coordinates for A'''' after performing the composition below on point A (-18,12)

-Reflect over the y-axis
-Rotate 270^o
-Dilate with scale factor k=-2/3
-Translate (x,y)-->(x-1,y+4)

(-9,16)