Geometric Transformations

Front

What is a geometric transformation?

Back

A geometric transformation is a change in the position, size, or shape of a figure.

Front

What are the three types of rigid transformations?

Back

The three types of rigid transformations are translation, reflection, and rotation.

Front

True or False: After a rigid transformation, the pre-image and image are congruent.

Back

True

Front

What is the result of a translation?

Back

A translation slides a figure to a new position without changing its shape or size.

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 is the algebraic notation for a translation of 9 units right and 3 units down?

Back

(x, y) → (x + 9, y - 3)

Front

What happens to the coordinates of a point (x, y) during a 90° clockwise rotation?

Back

The coordinates change to (y, -x).

Front

What is the coordinate of A' after a 180° rotation about the origin if A is at (-3, 5)?

Back

A' is at (3, -5).

Front

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

Back

The coordinates change to (-x, -y).

Front

What is the definition of rotation in geometry?

Back

Rotation is a transformation that turns a figure around a fixed point.