Translations, Reflections, and Rotations

Front

What is a translation in geometry?

Back

A translation in geometry is a transformation that moves every point of a figure or a space by the same distance in a given direction.

Front

How do you perform a reflection over the y-axis?

Back

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

Front

What is the angle of rotation for a full rotation?

Back

The angle of rotation for a full rotation is 360°.

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

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

Front

What is the effect of a 180° rotation about the origin on a point (x, y)?

Back

A 180° rotation about the origin transforms the point (x, y) to (-x, -y).

Front

What is the rule for translating a point (x, y) by (a, b)?

Back

The rule for translating a point (x, y) by (a, b) is (x + a, y + b).

Front

What happens to the coordinates of a point when it is reflected over the x-axis?

Back

When a point (x, y) is reflected over the x-axis, the y-coordinate changes sign, resulting in the new point (x, -y).

Front

How do you determine the new coordinates after translating a point vertically and horizontally?

Back

To determine the new coordinates after translating a point, add the horizontal translation to the x-coordinate and the vertical translation to the y-coordinate.

Front

What is the result of reflecting the point (3, -4) over the y-axis?

Back

The result of reflecting the point (3, -4) over the y-axis is (-3, -4).

Front

What is the difference between a rotation and a reflection?

Back

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