Angles and Transversals

Front

What is an angle?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex). It is measured in degrees (°).

Front

What are corresponding angles?

Back

Corresponding angles are pairs of angles that are in similar positions at each intersection where a straight line crosses two others. They are equal when the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What are vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect. They are always equal.

Tags

CCSS.7.G.B.5

Front

What are supplementary angles?

Back

Supplementary angles are two angles whose measures add up to 180°. For example, if one angle measures 130°, the other must measure 50°.

Tags

CCSS.7.G.B.5

Front

What is a transversal?

Back

A transversal is a line that crosses at least two other lines. It creates several angles, including corresponding, alternate interior, and alternate exterior angles.

Tags

CCSS.8.G.A.5

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that lie between two lines and on opposite sides of a transversal. They are equal when the lines are parallel.

Tags

CCSS.8.G.A.5

Front

What are alternate exterior angles?

Back

Alternate exterior angles are pairs of angles that lie outside two lines and on opposite sides of a transversal. They are equal when the lines are parallel.

Tags

CCSS.8.G.A.5

Front

How do you find the measure of an angle when given its supplementary angle?

Back

To find the measure of an angle when given its supplementary angle, subtract the measure of the known angle from 180°. For example, if the supplementary angle is 130°, the other angle is 180° - 130° = 50°.

Tags

CCSS.7.G.B.5

Front

What is the sum of angles around a point?

Back

The sum of angles around a point is always 360°. This means that if you add up all the angles formed around a point, they will equal 360°.

Tags

CCSS.4.MD.C.7

Front

What is the relationship between corresponding angles and parallel lines?

Back

When two parallel lines are cut by a transversal, the corresponding angles are equal.

Tags

CCSS.8.G.A.5