Translations, Reflections, and Rotations

Front

What is a translation in geometry?

Back

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

Front

What happens to the coordinates of a point (x, y) during a translation of (a, b)?

Back

The new coordinates will be (x + a, y + b).

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

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

The new coordinates will be (x, -y).

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

The new coordinates will be (-x, y).

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 B' if point B(6, 5) is rotated 180° about the origin?

Back

The coordinates of B' will be (-6, -5).

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, but may be in different positions or orientations.

Front

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

Back

The new coordinates will be (-y, x).

Front

What is the effect of a 270° rotation about the origin on the point (x, y)?

Back

The new coordinates will be (y, -x).