Transformations

(x -1, y + 2)

(x -2, y + 1)

(x + 2, y - 1)

(x + 1, y - 2)

4 units right

4 units left

4 units up

4 units down

4 units left and 3 units right

4 units left and 3 units up

4 units down and 3 units up

4 units down and 3 units down

(x - 8, y + 3 )

(x - 4, y - 9)

(x + 8, y - 3)

(x + 4, y - 9)

(5, 1)

(2, -5)

(-1, 1)

(8, -2)

An angle

A cat vertex

Rotation

90^o clockwise rotation

180^o rotation

90^o counterclockwise rotation

360^o rotation

90^o counterclockwise

180^o

90^o clockwise

C'(4, 6)

C'(-4, -6)

C'(6, 4)

C'(-6, -4)

180

90

270

360

Translation

Reflection

Rotation

Reflection across y-axis

90^o Rotation counter clockwise

Translation 5 units left, 1 unit up.

Translation 5 units right, 1 unit down

x-axis

y-axis

x = 2

y = 2

x-axis

y-axis

x = -2

y = -2

Reflection across y axis

Reflection across x-axis

Rotation by 180^o

Translation 2 units down

Translation

Rotation

Reflection

Rotation

Reflection

Translation

a

b

c

d

(-1, -2.5)

(12, 6)

(3, -1.5)

(0, 1.5)

It's a reduction; the scale factor is 2.

It's an enlargement; the scale factor is 2.

It's an enlargement; the scale factor is 1/2.

It's a reduction; the scale factor is 1/2.

(12,0)

(12,12)

(4,3)

(0,12)

(12,0)

(12,12)

(4,3)

(0,12)

Rotate 270° clockwise, Translate down

Reflection over the x-axis, Translate down

Translate Right, Reflect over the y-axis

Rotate 90° clockwise, Reflect over the x-axis

Translation, Rotation, Dilation

Dilation, Reflection, Rotation

Dilation, Rotation, Dilation

Translation, Rotation, Reflection

Dilation, Translation, Reflection

Dilation, Reflection, Rotation

Rotation, Rotation, Dilation

Translation, Dilation, Dilation

Rotation, Reflection, Rotation

Reflection, Reflection, Rotation

Rotation, Rotation, Translation

Translation, Rotation, Reflection