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

What are the types of rigid motions?

Back

Translation, rotation, and reflection.

Front

How do you translate a point (x, y) 3 units to the right and 2 units up?

Back

(x + 3, y + 2) is the new position.

Front

What is the result of reflecting a point (a, b) across the x-axis?

Back

The new point is (a, -b).

Front

What is the result of reflecting a point (a, b) across the y-axis?

Back

The new point is (-a, b).

Front

What is the result of reflecting a point (a, b) across the line y = x?

Back

The new point is (b, a).

Front

If point A(2, 3) is translated down 4 units and left 1 unit, what are the coordinates of A'?

Back

A'(-1, -1).

Front

What does it mean to rotate a figure 90 degrees counterclockwise around the origin?

Back

The coordinates (x, y) become (-y, x).

Front

What is the effect of a translation on a figure?

Back

It moves the figure from one location to another without changing its shape or orientation.

Front

If triangle ABC is reflected over the x-axis, what happens to the y-coordinates of its vertices?

Back

The y-coordinates change sign, while the x-coordinates remain the same.