Proving Angle Pair Relationships in Geometry

What does the Right Angles Congruence Theorem state?

• All right angles are complementary.

• All right angles are supplementary.

• All right angles are congruent.

• All right angles are equal to 180 degrees.

In the proof involving right angles, what is the measure of a right angle?

• 120 degrees

• 45 degrees

• 60 degrees

• 90 degrees

What is the first step in writing a proof for angle relationships?

• Calculate the angle measures.

• Draw the diagram.

• Write the given information.

• State the theorem.

According to the Congruent Supplements Theorem, if two angles are supplementary to the same angle, they are:

• Equal

• Congruent

• Complementary

• Perpendicular

What does the Congruent Complements Theorem state?

• If two angles are equal, they are supplementary.

• If two angles are supplementary to the same angle, they are congruent.

• If two angles are complementary to the same angle, they are congruent.

• If two angles are equal, they are complementary.

What is the Linear Pair Postulate?

• If two angles form a linear pair, they are equal.

• If two angles form a linear pair, they are congruent.

• If two angles form a linear pair, they are complementary.

• If two angles form a linear pair, they are supplementary.

According to the Vertical Angles Congruence Theorem, vertical angles are:

• Supplementary

• Congruent

• Equal

• Complementary

In the example problem, what is the total measure of a right angle?

• 120 degrees

• 90 degrees

• 60 degrees

• 45 degrees

Which equation can be used to find x in the given right angle problem?

• 38 = 2x - 3

• 38 + 38 + 2x - 3 = 90

• 38 + 2x - 3 = 90

• 2x - 3 = 180

What should you do if the problem does not specify an angle bisector?

• Do not assume it is an angle bisector.

• Ignore the problem.

• Assume it is an angle bisector.

• Use any given angle measure.