Angle Pairs & Algebra

Front

What is a linear pair of angles?

Back

A linear pair of angles consists of two adjacent angles that are formed when two lines intersect. The sum of the angles in a linear pair is always 180 degrees.

Front

Identify an example of a linear pair of angles from the following: \( \angle1 \ and \ \angle4, \angle3 \ and \ \angle2, \angle4 \ and \ \angle5, \angle3 \ and \ \angle5 \)

Back

\( \angle4 \ and \ \angle5 \) is a linear pair.

Front

What are consecutive interior angles?

Back

Consecutive interior angles are pairs of angles that lie on the same side of the transversal and between the two lines. They are supplementary, meaning their sum is 180 degrees.

Front

Identify an example of consecutive interior angles from the following: \( \angle1 \ and \ \angle8, \angle3 \ and \ \angle7, \angle4 \ and \ \angle5, \angle2 \ and \ \angle5 \)

Back

\( \angle2 \ and \ \angle5 \) are consecutive interior angles.

Front

What is the relationship between corresponding angles when two parallel lines are cut by a transversal?

Back

Corresponding angles are equal when two parallel lines are cut by a transversal.

Front

Identify an example of corresponding angles from the following: \( \angle1 \ and \ \angle6, \angle6 \ and \ \angle5, \angle7 \ and \ \angle8, \angle4 \ and \ \angle8 \)

Back

\( \angle7 \ and \ \angle8 \) are corresponding angles.

Front

If two angles are complementary, what is the sum of their measures?

Back

The sum of the measures of two complementary angles is 90 degrees.

Front

If \( y = 76 \) and \( z = 104 \), what is the relationship between these angles?

Back

These angles are supplementary, as their sum is 180 degrees.

Front

What does it mean for two rays to be perpendicular?

Back

Two rays are perpendicular if they intersect at a right angle (90 degrees).

Front

Find x so that ray ZD and ray ZP are perpendicular: \( x = 1, x = -\frac{2}{3}, x = 7, x = 14.5 \)

Back

\( x = 7 \) makes ray ZD and ray ZP perpendicular.