Transformations Review

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

How do you reflect a point over the x-axis?

Back

To reflect a point (x, y) over the x-axis, the new coordinates become (x, -y).

Front

What are the coordinates of the reflection of point C (-5, 4) over the x-axis?

Back

The coordinates of C' are (-5, -4).

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a figure but not its shape, using a scale factor.

Front

How do you dilate a point by a scale factor of k?

Back

To dilate a point (x, y) by a scale factor of k, the new coordinates become (kx, ky).

Front

What are the coordinates of point B (0, 4) after dilation by a scale factor of 3?

Back

The coordinates of B' are (0, 12).

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a figure around a fixed point, called the center of rotation.

Front

What are the coordinates of point T (-4, 1) after a 180° counterclockwise rotation about the origin?

Back

The coordinates of T' are (4, -1).

Front

How do you rotate a point 90° counterclockwise about the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates become (-y, x).

Front

What are the coordinates of point A (-1, -1) after a 90° rotation about the origin?

Back

The coordinates of A' are (1, -1).