Angle Relationships Review with Geometric Proofs

Front

What happens to the angle measures of a quadrilateral when it is translated?

Back

The angle measures remain equal to the corresponding angle measures of the original quadrilateral.

Front

If \( \Delta ABC \cong \Delta DEF \), what can we say about the corresponding sides?

Back

The corresponding sides are congruent, meaning \( \overline{BC} \cong \overline{EF} \).

Front

Solve for x: 2x + 5 = 23.

Back

x = 9.

Front

If two angles form a linear pair, what is their relationship?

Back

They are supplementary, meaning their measures add up to 180 degrees.

Front

If \( \Delta ABC \cong \Delta DEF \), what can we say about \( \angle A \)?

Back

\( \angle A \cong \angle D \).

Front

What is a linear pair of angles?

Back

A linear pair consists of two adjacent angles that form a straight line, and they are supplementary.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180 degrees.

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are congruent.

Front

What is the definition of a transversal?

Back

A transversal is a line that intersects two or more lines at different points.