Parallel Lines and Transversals

Front

What is the Alternate Exterior Angles Theorem?

Back

If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position at each intersection where a straight line crosses two others. They are congruent when the lines are parallel.

Front

What is the Vertical Angles Theorem?

Back

Vertical angles are the angles opposite each other when two lines cross. They are always congruent.

Front

What is the definition of supplementary angles?

Back

Two angles are supplementary if the sum of their measures is 180 degrees.

Front

What is the definition of complementary angles?

Back

Two angles are complementary if the sum of their measures is 90 degrees.

Front

If two parallel lines are cut by a transversal, what can be said about the same-side interior angles?

Back

Same-side interior angles are supplementary.

Front

Solve for x: If angle 1 = 2x + 10 and angle 2 = 3x - 20, and they are corresponding angles, what is x?

Back

x = 6.

Front

Solve for x: If angle A and angle B are vertical angles and angle A = 3x + 15, angle B = 5x - 5, what is x?

Back

x = 2.

Front

What is the definition of adjacent angles?

Back

Adjacent angles are two angles that share a common side and a common vertex but do not overlap.

Front

If two angles are complementary and one angle measures 30 degrees, what is the measure of the other angle?

Back

The other angle measures 60 degrees.