Geometric Transformations Review 2024

Front

What is a translation in geometric transformations?

Back

A translation is a transformation that moves every point of a figure the same distance in the same direction.

Front

What are the final coordinates of a point after a 180-degree rotation counterclockwise?

Back

The coordinates (x, y) become (-x, -y) after a 180-degree rotation.

Front

What are the coordinates for A' after a 90° rotation clockwise if A is at (1, 3)?

Back

A' will be at (3, -1) after a 90° clockwise rotation.

Front

What type of transformation is a reflection?

Back

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

Front

Define rotation in geometric transformations.

Back

A rotation is a transformation that turns a figure about a fixed point, known as the center of rotation.

Front

What is the rule for a 90° counterclockwise rotation?

Back

The rule is (x, y) → (-y, x).

Front

What happens to the coordinates of a point during a translation?

Back

The coordinates of a point (x, y) change to (x + a, y + b), where a and b are the distances moved in the x and y directions.

Front

What is the difference between a rotation and a reflection?

Back

A rotation turns a figure around a point, while a reflection flips it over a line.

Front

What is dilation in geometric transformations?

Back

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

Front

How do you determine the center of rotation?

Back

The center of rotation is the fixed point around which the figure rotates.