Transformation Retest Review 24

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but not its shape, using a scale factor.

Front

What does a scale factor of 1/3 indicate in a dilation?

Back

A scale factor of 1/3 indicates a reduction, meaning the figure will be scaled down to one-third of its original size.

Front

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

Back

To reflect a point (x, y) over the y-axis, change the sign of the x-coordinate, resulting in the point (-x, y).

Front

What is the result of reflecting the point (-5, 2) over the y-axis?

Back

The new point is (5, 2).

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, by a certain angle.

Front

What does a 90° clockwise rotation about the origin do to a point (x, y)?

Back

A 90° clockwise rotation transforms the point (x, y) to (y, -x).

Front

What is the sequence of transformations for reflecting a figure across the y-axis and then rotating it?

Back

First, reflect the figure across the y-axis, then rotate it by the specified angle about the origin.

Front

What is the difference between a reflection and a translation?

Back

A reflection flips a figure over a line, while a translation slides a figure from one position to another without changing its orientation.

Front

What does it mean to translate a figure 4 units left and 2 units down?

Back

To translate a figure 4 units left, subtract 4 from the x-coordinates, and to translate 2 units down, subtract 2 from the y-coordinates.

Front

What is the result of a reflection over the x-axis?

Back

Reflecting a point (x, y) over the x-axis results in the point (x, -y).