Transformation

​Transformations:
Translation, Reflections and Rotations

By Rolly Sagario

Translation

A translation slides a figure to a different location.

Draw

Graph the image of

△CDE

after a translation 3 units left.

Draw

Graph the image of

△QRS

after a translation 3 units right and 3 units up.

Draw

Graph the image of

△ABC

after a translation 6 units up.

Draw

Graph the image of rectangle

STUV

after a translation 12 units down.

Draw

Graph the image of

△JKL

after a translation 5 units left.

Reflection

A reflection flips a figure over a line to create a mirror image.

When a point is reflected over the x-axis, they-coordinate changes sign.​

Draw

Graph the image of

△CDE

after a reflection over the

x-axis.

Draw

Graph the image of square

CDEF

after a reflection over the

x-axis.

Draw

Graph the image of rectangle

JKLM

after a reflection over the

y-axis.

Draw

Graph the image of

△DEF

after a reflection over the

x-axis.

Draw

Graph the image of trapezoid

STUV

after a reflection over the line

y=1.

Rotation

A rotation turns a figure around a fixed point.

Draw

Graph the image of

△TUV

after a rotation

90°

counterclockwise around the origin.

Draw

Graph the image of

△EFG

after a rotation

90°

counterclockwise around the origin.

Draw

Graph the image of rectangle

STUV

after a rotation

270°

counterclockwise around the origin.

Draw

Graph the image of square

JKLM

after a rotation

90°

counterclockwise around the origin.

Draw

Graph the image of rectangle

EFGH

after a rotation

270°

counterclockwise around the origin.