Transformations Review

Front

What is a transformation in geometry?

Back

A transformation is a mathematical operation that moves or changes a shape in some way, including translations, rotations, reflections, and dilations.

Front

What is a dilation in geometry?

Back

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

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, the dimensions of a shape during a dilation.

Front

How do you perform a translation on a figure?

Back

To translate a figure, you add a specific value to the x-coordinate and/or y-coordinate of each point of the figure.

Front

What does it mean to rotate a figure?

Back

To rotate a figure means to turn it around a fixed point, called the center of rotation, by a certain angle.

Front

What is the rule for a 90-degree clockwise rotation?

Back

The rule for a 90-degree clockwise rotation is (x, y) → (y, -x).

Front

What is the rule for a 90-degree counterclockwise rotation?

Back

The rule for a 90-degree counterclockwise rotation is (x, y) → (-y, x).

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 determine the scale factor of a dilation?

Back

The scale factor is determined by comparing the lengths of corresponding sides of the original figure and the dilated figure.

Front

What is the effect of a scale factor greater than 1 in a dilation?

Back

A scale factor greater than 1 enlarges the figure.