Unit 1: Rigid Transformations and Congruence

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure. Examples include translations, rotations, and reflections.

Front

What is the measure of an angle after a translation?

Back

The measure of an angle remains unchanged after a translation.

Front

What is a rotation in geometry?

Back

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

Front

What is a reflection in geometry?

Back

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

Front

What is the difference between translation and rotation?

Back

Translation moves a figure without changing its orientation, while rotation turns a figure around a point.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning one can be transformed into the other using rigid transformations.

Front

What is the angle of rotation for a 180-degree rotation?

Back

A 180-degree rotation turns a figure halfway around a circle, effectively flipping it upside down.

Front

What is the result of reflecting a point across the x-axis?

Back

Reflecting a point (x, y) across the x-axis results in the point (x, -y).

Front

What is the result of translating a point 4 units right and 1 unit down?

Back

Translating a point (x, y) 4 units right and 1 unit down results in the point (x+4, y-1).

Front

What is the term for a transformation that changes the position of a figure without altering its shape or size?

Back

Translation.