Rigid Transformations

Front

What are the three types of rigid transformations?

Back

Translations, rotations, and reflections.

Front

What happens to the coordinates of a point (x, y) when it is reflected across the y-axis?

Back

The new coordinates will be (-x, y).

Front

If you rotate a point (x, y) 180° about the origin, what will the new coordinates be?

Back

The new coordinates will be (-x, -y).

Front

When translating a point (x, y) by (x-4, y), how does the point move?

Back

The point moves 4 units left.

Front

When translating a point (x, y) by (x, y+6), how does the point move?

Back

The point moves 6 units up.

Front

What is a translation in geometry?

Back

A translation is a rigid transformation that moves every point of a shape the same distance in a given direction.

Front

What is a reflection in geometry?

Back

A reflection is a rigid transformation that flips a shape over a line, creating a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a rigid transformation that turns a shape around a fixed point at a certain angle.

Front

If point A(2, 3) is reflected across the x-axis, what are the new coordinates of A'?

Back

A' will be (2, -3).

Front

If point B(-4, 1) is rotated 90° counterclockwise about the origin, what are the new coordinates of B'?

Back

B' will be (-1, -4).