Parallel Lines cut by a Transversal

Front

What are Vertical Angles?

Back

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

Front

What is a Linear Pair of Angles?

Back

A linear pair of angles consists of two adjacent angles that form a straight line. Their measures add up to 180 degrees.

Front

What are Alternate Interior Angles?

Back

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

Front

What are Alternate Exterior Angles?

Back

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

Front

What are Corresponding Angles?

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines in relation to a transversal. They are equal.

Front

If two parallel lines are cut by a transversal, what can be said about the angles formed?

Back

The angles formed have specific relationships: alternate interior angles are equal, alternate exterior angles are equal, and corresponding angles are equal.

Front

Find x if ∠1 = 30° and ∠2 is a linear pair with ∠1.

Back

x = 150° (since linear pairs add up to 180°).

Front

If ∠L and ∠M are corresponding angles and ∠L = 51°, what is ∠M?

Back

∠M = 51° (corresponding angles are equal).

Front

What is the sum of the measures of angles in a linear pair?

Back

The sum of the measures of angles in a linear pair is 180°.

Front

If ∠3 and ∠4 are alternate interior angles and ∠3 = 60°, what is ∠4?

Back

∠4 = 60° (alternate interior angles are equal).