Unit 1 Rigid Transformations Review

Front

What are rigid transformations?

Back

Rigid transformations are movements of figures in a plane that preserve their shape and size. They include translations, rotations, and reflections.

Front

What is a translation in geometry?

Back

A translation is a rigid transformation that slides a figure in a straight line from one position to another without changing its shape or orientation.

Front

How do you perform a 90-degree counterclockwise rotation around the origin?

Back

To rotate a point (x, y) 90 degrees counterclockwise around the origin, the new coordinates will be (-y, x).

Front

What are the coordinates of point P' if point P is at (4,5) and is rotated 90 degrees counterclockwise?

Back

The coordinates of P' are (-5, 4).

Front

What is a reflection in geometry?

Back

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

Front

What does it mean for figures to be congruent?

Back

Figures are congruent if they have the same shape and size, which can be proven through rigid transformations.

Front

How do you translate a figure 2 units to the right and 5 units down?

Back

To translate a figure 2 units to the right and 5 units down, add 2 to the x-coordinates and subtract 5 from the y-coordinates of each point.

Front

What is the result of a 180-degree rotation around the origin?

Back

A 180-degree rotation around the origin changes the coordinates of a point (x, y) to (-x, -y).

Front

What is the difference between rotation and reflection?

Back

Rotation turns a figure around a point, while reflection flips a figure over a line.

Front

What is the effect of a 90-degree clockwise rotation on the coordinates (x, y)?

Back

A 90-degree clockwise rotation changes the coordinates (x, y) to (y, -x).