Congruent Supplements Theorem

If \angle A is supplementary to \angle B and \angle C is supplementary to \angle B, then \angle A \cong \angle C

• Congruent Supplements Theorem 

• Supplement Theorem 

Tags

CCSS.HSG.SRT.B.5

What is the justification?

• Reflexive Property of Congruence

• Vertical Angles Theorem

• Supplement Theorem

• Complement Theorem

Tags

CCSS.7.G.B.5

• Congruent Supplements Theorem

• Supplements Theorem

• Definition of Supplementary Angles

• Transitive Property of Congruence

Tags

CCSS.HSG.SRT.B.5

If angles are supplementary to the same angle then those two angles are congruent

• Congruent Supplements

• Multiplication Property

• Definition of Supplementary
• Congruent Supplements theorem
• Substitution
• Transitive property

2) Which statement represents what you have to prove from the question?

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What is the reason for Statement 4 to complete the proof?

• Converse of Corresponding Angles Postulate

• Transitive Property of Congruence

• Substitution

• Algebra

9) What is the Given for Statement 1?

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What is the reason for Statement 3

• Corresponding Angles Postulate

• Angles that form a Linear Pair that sums 180°

• Same-side Interior Angles Theorem

• Vertical Angles Theorem

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Right Angles Congruence Theorem

• Vertical Angles Congruence Theorem