Question

Which of the following statements correctly completes the proof that consecutive interior angles are supplementary?



Statements Reasons
1. m∡A+m∡C=180°
1. Linear Pairs are supplementary
2. m∡A=m∡E
2. __________________________
3.. m∡E+m∡C=180°
3. Substitution
4. ∠E and ∠C
are supplementary 4. Definition of Supplementary Angles


(1 point)
Responses

Transitive Property of Equality
Transitive Property of Equality

Definition of congruence
Definition of congruence

Vertical Angles Theorem
Vertical Angles Theorem

Corresponding Angles Postulate
Corresponding Angles Postulate
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Answer 1

The correct statement that completes the proof is:

**Transitive Property of Equality**

So the completed proof would look like this:

Statements Reasons
1. m∡A+m∡C=180°
1. Linear Pairs are supplementary
2. m∡A=m∡E
2. Transitive Property of Equality
3. m∡E+m∡C=180°
3. Substitution
4. ∠E and ∠C are supplementary
4. Definition of Supplementary Angles