Rigid Transformations Review

Front

What is a rigid transformation?

Back

A transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

Define translation in the context of rigid transformations.

Back

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

Front

What does it mean to reflect a figure over the x-axis?

Back

To flip the figure over the x-axis, changing the sign of the y-coordinates of each point.

Front

What is a rotation in rigid transformations?

Back

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

Front

How do you perform a 90-degree clockwise rotation?

Back

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

Front

What is the difference between a reflection and a rotation?

Back

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

Front

What is the result of reflecting a point (3, 4) over the y-axis?

Back

The new coordinates will be (-3, 4).

Front

What is the effect of a translation of 5 units down on the point (2, 3)?

Back

The new coordinates will be (2, -2).

Front

Identify the transformation: A triangle is flipped over the x-axis.

Back

Reflection over the x-axis.

Front

What is NOT a rigid transformation?

Back

A dilation, which changes the size of a figure.