Transformations - Rigid Motions

Front

What is a rigid motion?

Back

A transformation that preserves distance and angle measures, meaning the shape and size of the figure remain unchanged.

Front

Define translation in the context of transformations.

Back

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

Front

What is a rotation in transformations?

Back

A transformation that turns a figure around a fixed point, called the center of rotation, by a certain angle.

Front

Explain reflection in transformations.

Back

A transformation that flips a figure over a line, creating a mirror image.

Front

What does a 90° clockwise rotation do to a point (x, y)?

Back

It transforms the point to (y, -x).

Front

How does a reflection across the y-axis affect the coordinates of a point (x, y)?

Back

The coordinates change to (-x, y).

Front

What is the result of reflecting the point (-5, 3) over the y-axis?

Back

The image is (5, 3).

Front

If point A is at (-6, -2), what is the new position after translation T(-4, 2)?

Back

The new position is (-10, 0).

Front

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

Back

The point transforms to (-x, -y).

Front

Describe the transformation from triangle ABC to triangle A'B'C' if it is reflected across the x-axis.

Back

The y-coordinates of the points are negated, changing (x, y) to (x, -y).