Geometry Regents Prep: Transformations

Overview

Try the following practice question.

Which transformation can map an image onto itself?

Translation

Try the following practice question.

Given point A (5, -2), find the coordinates of its image A', under the transformation T_{(3, -6)}.

Reflection Over an Axis

Try the following practice question.

Given point B (-4, 6). What are the coordinates of the image of B after it is reflected over the x-axis?

Reflection Over a Horizontal or Vertical Line

Try the following practice question.

Given point R (2, 8). What are the coordinates of the image of R after it is reflected over the line ?

Reflection Over y = x

Try the following practice question.

Given point C (-12, 3), what are the coordinates of C', the image of C after it is reflected over the line ?

Rotation

Try the following practice question.

Given point D (-3, 2), what are the coordinates of D', the image of D after a rotation?

Dilation

Try the following practice question.

Given point Q (1, -3). What are the coordinated of Q', the image of Q after it is dilated with a scale factor of 3?