Angle Relationships with Parallel Lines & Transversals

Front

What is the Corresponding Angles Theorem?

Back

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

Tags

CCSS.8.G.A.5

Front

What is the Alternate Interior Angles Theorem?

Back

When two parallel lines are cut by a transversal, the pairs of alternate interior angles are equal.

Tags

CCSS.8.G.A.5

Front

What is the Alternate Exterior Angles Theorem?

Back

When two parallel lines are cut by a transversal, the pairs of alternate exterior angles are equal.

Tags

CCSS.8.G.A.5

Front

What is the Same Side Interior Angles Postulate?

Back

When two parallel lines are cut by a transversal, the pairs of same side interior angles are supplementary (add up to 180 degrees).

Tags

CCSS.8.G.A.5

Front

What is the Vertical Angles Theorem?

Back

When two lines intersect, the pairs of opposite angles (vertical angles) are equal.

Tags

CCSS.8.G.A.5

Front

What is a transversal?

Back

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

Front

If angle 2 = 70°, what is angle 4 if lines are parallel?

Back

Angle 4 = 70° (Corresponding Angles Theorem).

Tags

CCSS.8.G.A.5

Front

If angle 6 = 110°, what is angle 9 if lines are parallel?

Back

Angle 9 = 110° (Alternate Interior Angles Theorem).

Tags

CCSS.8.G.A.5

Front

If angle 1 = 45°, what is angle 8 if lines are parallel?

Back

Angle 8 = 45° (Alternate Exterior Angles Theorem).

Tags

CCSS.8.G.A.5

Front

If angle 3 = 130°, what is angle 6 if lines are parallel?

Back

Angle 6 = 50° (Same Side Interior Angles Postulate).