Segment & Angle Proofs Quiz Review

Which is the definition of the Angle Addition Postulate?

• X is in the interior of ∠ABC if and only if m∠ABX + m∠XBC = m∠ABC
• If ∠A and ∠B form a linear pair, then the angles are supplementary.
• If two adjacent angles, ∠C and ∠D, form a right angle, then the angles are complementary.
• Angles complementary to the same angle are congruent.

Which is the definition of the Complement Theorem?

• X is in the interior of ∠ABC if and only if m∠ABX + m∠XBC = m∠ABC
• If ∠A and ∠B form a linear pair, then the angles are supplementary.
• If two adjacent angles, ∠C and ∠D, form a right angle, then the angles are complementary.
• Angles complementary to the same angle are congruent.

Which is the definition of the Congruent Complements Theorem?

• X is in the interior of ∠ABC if and only if m∠ABX + m∠XBC = m∠ABC
• If ∠A and ∠B form a linear pair, then the angles are supplementary.
• If two adjacent angles, ∠C and ∠D, form a right angle, then the angles are complementary.
• Angles complementary to the same angle are congruent.

Which is the definition of the Vertical Angles Theorem?

• If two angles are vertical angles, then the angles are congruent.
• If ∠A and ∠B form a linear pair, then the angles are supplementary.
• If two adjacent angles, ∠C and ∠D, form a right angle, then the angles are complementary.
• Angles complementary to the same angle are congruent.

True or False: If ∠A and ∠B are supplementary, and ∠B and ∠C are supplementary, then ∠A is congruent to ∠C by the Congruent Supplements Theorem.

• True
• False

Determine the reason for Question #11.

• Definition of Congruence
• Angle Addition Postulate
• Substitution
• Addition Property of Equality
• Symmetric Property

Determine the reason for Question #12.

• Definition of Congruence
• Angle Addition Postulate
• Substitution
• Addition Property of Equality
• Symmetric Property

Determine the reason for Question #13.

• Definition of Congruence
• Angle Addition Postulate
• Substitution

• Addition Property of Equality
• Symmetric Property

Determine the reason for Question #14.

• Definition of Congruence
• Angle Addition Postulate
• Substitution or Transitive

• Addition Property of Equality
• Symmetric Property

Determine the reason for Question #15.

• Definition of Congruence
• Angle Addition Postulate
• Substitution
• Addition Property of Equality
• Symmetric Property