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 rotated 180° about the origin?

Back

When a point (x, y) is rotated 180° about the origin, its new coordinates become (-x, -y).

Front

If point A is at (2, 3), what are the coordinates of A' after a 180° rotation about the origin?

Back

A' would be at (-2, -3).

Front

What is the effect of translating a point 3 units to the left and 9 units down?

Back

To translate a point (x, y) 3 units left and 9 units down, the new coordinates will be (x - 3, y - 9).

Front

If point X is at (1, 4), where will X' be after translating 3 units left and 9 units down?

Back

X' will be at (-2, -5).

Front

What is reflection in the y-axis?

Back

Reflection in the y-axis means that for a point (x, y), the new coordinates after reflection will be (-x, y).

Front

What is reflection in the x-axis?

Back

Reflection in the x-axis means that for a point (x, y), the new coordinates after reflection will be (x, -y).

Front

How do you determine the angle of rotation in a transformation?

Back

The angle of rotation is determined by how far a figure is turned around a fixed point, usually measured in degrees.

Front

What is the measure of an angle that is supplementary to 144°?

Back

The measure of the supplementary angle is 36°, since supplementary angles add up to 180°.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of complementary angles is 90°.