The figure below shows segments AC and EF which intersect at point B.

Question

asked May 13, 2021 163k views

2 Answers

StuartLC · Answer 1 · 2021-05-14T16:24:20+0000

Answer: C) ∠ A FB ≅ ∠CEB

Explanation:

We can prove that Δ ABF ≅ ΔCBE by Angle-Angle (AA) Congruency Theorem.

∠ABF ≡ ∠CBE Vertical Angles Postulate

∠AFB ≡ ∠CEB Alternate Interior Angles Postulate

∠FAB ≡ ∠ECB Alternate Interior Angles Postulate

We only need two of the above statements/reasons above to prove AA Congruency Theorem.