Rigid Transformations, Angles, and Congruence

Front

What is a rigid transformation?

Back

A rigid transformation is a movement of a figure in a plane that preserves its shape and size. Examples include translations, rotations, and reflections.

Front

What does a translation do to an image?

Back

A translation slides the image to a different position without changing its shape or size.

Front

How do you translate a figure 2 units to the left and 9 units up?

Back

To translate a figure 2 units to the left and 9 units up, subtract 2 from the x-coordinates and add 9 to the y-coordinates of each point of the figure.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

If angle P measures 60 degrees, what is the measure of angle Q if they are supplementary?

Back

Angle Q measures 120 degrees because supplementary angles add up to 180 degrees.

Front

What is the measure of ∠2 if it is vertical to an angle measuring 38 degrees?

Back

∠2 measures 38 degrees because vertical angles are equal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Front

What is a reflection in geometry?

Back

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

Front

What is a rotation in geometry?

Back

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

Front

How do you determine if two angles are complementary?

Back

Two angles are complementary if the sum of their measures is 90 degrees.