Select the correct answer.
Given: BC || DE, and ∠GAC ≅ ∠AFD.
Prove:
State...
Mathematics, 22.04.2021 01:00 marlea
Select the correct answer.
Given: BC || DE, and ∠GAC ≅ ∠AFD.
Prove:
Statement Reason
1. ∠GAC ≅ ∠AFD given
2. ∠GAC ≅ ∠AFE For parallel lines cut by a transversal, corresponding angles are congruent.
3.
4. ∠AFD and ∠AFE are supplementary. Linear Pair Theorem
5. m∠AFD = m∠AFE = 90° If two congruent angles are supplementary, then each angle is a right angle.
6. definition of perpendicular lines
What is the missing step in the proof?
A.
Statement: ∠GAC and ∠GAB are supplementary.
Reason: Linear Pair Theorem
B.
Statement: ∠AFE ≅ ∠AFD
Reason: Transitive Property of Equality
C.
Statement: ∠GAC ≅ ∠BAF
Reason: Vertical Angles Theorem
D.
Statement: ∠GAC and ∠AFD are supplementary.
Reason: Linear Pair Theorem
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