Rigid Transformations, Angles, and Congruence

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they are the same size and same shape.

Front

How do you translate a figure?

Back

To translate a figure means to slide it in a straight line from one position to another without rotating or flipping it.

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.

Front

What is the definition of a reflection?

Back

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

Front

What are the properties of congruent figures?

Back

Congruent figures have the same size, shape, and corresponding angles that are equal.

Front

What is the value of angle D if it is given that ∠D + ∠C = 180° and ∠C = 116°?

Back

∠D = 64°.

Front

What is the difference between translation and rotation?

Back

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

Front

What is the term for angles that are equal in measure?

Back

Congruent angles.

Front

How do you determine if two triangles are congruent?

Back

Two triangles are congruent if their corresponding sides and angles are equal.

Front

What is the significance of corresponding angles in congruence?

Back

Corresponding angles are equal in measure for congruent figures, which helps in proving congruence.