Answer:
(B) ∆BAC ≅ ∆DEF by HL
Explanation:
You want to know the appropriate congruence statement for the triangles in the figure.
SAS
For the SAS congruence postulate to apply, the corresponding congruent angles must lie between the corresponding congruent sides. Here, the marked right angle is not between the sides marked, so SAS does not apply. (There is no marked angle in ∆GHI.)
HL
HL only applies to right triangles. ∆GHI is not marked as a right triangle, so HL does not apply to that triangle.
At this point, the only reasonable answer choice is B:
∆BAC ≅ ∆DEF by HL
Check: Corresponding sides BA and DE are marked with a double hash mark, and AC and EF are marked with a single hash mark. The right-angle vertex is listed last (C and F) in the triangle names. This confirms the selected congruence statement is correct.
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