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 in measure.

Front

What is the Corresponding Angle Postulate?

Back

When a transversal crosses two parallel lines, each pair of corresponding angles is equal.

Front

What is the Alternate Interior Angles Theorem?

Back

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

Front

What is the sum of the interior angles of a triangle?

Back

The sum of all interior angles in a triangle is always 180 degrees.

Front

What are Alternate Exterior Angles?

Back

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

Front

If angle 1 is 50 degrees, what is the measure of angle 2 if they are vertical angles?

Back

Angle 2 is also 50 degrees because vertical angles are equal.

Front

If angle 3 is 70 degrees, what is the measure of angle 4 if they are corresponding angles?

Back

Angle 4 is also 70 degrees because corresponding angles are equal.

Front

What is the relationship between the angles formed by a transversal cutting two parallel lines?

Back

The angles formed have specific relationships: corresponding angles are equal, alternate interior angles are equal, and same-side interior angles are supplementary.

Front

If angle 5 is 120 degrees, what is the measure of angle 6 if they are same-side interior angles?

Back

Angle 6 is 60 degrees because same-side interior angles are supplementary (120 + 60 = 180 degrees).

Front

What is the measure of angle 7 if angle 8 is 45 degrees and they are corresponding angles?

Back

Angle 7 is also 45 degrees because corresponding angles are equal.