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 reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its new coordinates become (x, -y).

Front

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

Back

When a point (x, y) is reflected across the y-axis, its new coordinates become (-x, y).

Front

What is the algebraic notation for a translation that moves a point 7 units left and 4 units up?

Back

The algebraic notation is (x, y) --> (x - 7, y + 4).

Front

How do you perform a 90-degree clockwise rotation of a point (x, y) about the origin?

Back

To rotate a point (x, y) 90 degrees clockwise about the origin, the new coordinates become (y, -x).

Front

What is the effect of a translation on a figure?

Back

A translation moves every point of a figure the same distance in the same direction without changing its shape or size.

Front

If point A(2, 3) is translated 3 units to the right and 2 units down, what are the new coordinates?

Back

The new coordinates of point A are (5, 1).

Front

What is the rule for reflecting a point across the line y = x?

Back

When reflecting a point (x, y) across the line y = x, the new coordinates become (y, x).

Front

What is the result of rotating point B(-3, 4) 90 degrees counterclockwise about the origin?

Back

The new coordinates of point B after a 90-degree counterclockwise rotation are (4, 3).

Front

What is the difference between a reflection and a rotation?

Back

A reflection flips a figure over a line, creating a mirror image, while a rotation turns a figure around a fixed point.