Rigid Transformations

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. The three types of rigid transformations are translations, rotations, and reflections.

Front

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

Back

When a point (x, y) is reflected over the y-axis, its new coordinates become (-x, y).

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, its new coordinates become (x, -y).

Front

How do you rotate a point 90 degrees clockwise about the origin?

Back

To rotate a point (x, y) 90 degrees clockwise about the origin, the new coordinates become (y, -x).

Front

How do you rotate a point 180 degrees about the origin?

Back

To rotate a point (x, y) 180 degrees about the origin, the new coordinates become (-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 the result of reflecting the point (3, 2) over the y-axis?

Back

The new point is (-3, 2).

Front

What is the result of reflecting the point (1, -4) over the x-axis?

Back

The new point is (1, 4).

Front

What are the coordinates of point A' if point A(1, -2) is rotated 90 degrees clockwise about the origin?

Back

The coordinates of A' are (2, 1).

Front

What are the coordinates of point B' if point B(3, -3) is rotated 90 degrees clockwise about the origin?

Back

The coordinates of B' are (3, -3).