Transformations on the Coordinate

Plane: Translations and Rotations

TranSLation of a geometric figure is a SLide of the figure in which all points move the same distance in the same

direction.

Horizontal- left and right

Vertical- up and down

5

4

3

2

1 -5 -4 -3 -2 -1

-11 2 3 4 5

-2

-3

-4

-5

Translate the figure horizontally – 5

A

B

C

B

AC

5

4

3 2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

Translate the figure 4 units vertically.

AB

C D

B A

C D

5

4

3

2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

Translate the figure 6 units vertically.

BC

A

BC

A

5

4

3

2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

Translate the figure 4 units horizontally.

AB

D C

A B

D C

A ROTATION of a geometric figure is the turn of the figure

around a fixed point.

Clockwise

Counter-clockwise

90

180

5

4

3

2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

Rotate the figure

clockwise 90 around the

origin.

A

BCB

CA

5

4

3

2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

AB

CD

D

CB

A

Rotate the figure 90 counter-clockwise around the origin.

5

4

3

2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

A

B C

A

BC

Rotate the figure 180 counter-

clockwise around the origin.

5

4

3

2

1

-5 -4 -3 -2 -1 -1

1 2 3 4 5

-2

-3

-4

-5

Rotate the figure 180 clockwise around

the origin.

A B

CD

C

B

D

A