What else would need to be congruent to show that ABC DEF by AAS (Apex)

Question

asked Jul 18, 2018 193k views

2 Answers

Koryonik · Answer 1 · 2018-07-19T03:24:18+0000

∠C≡∠F (Choice B). AAS congruent triangles contain two pairs of congruent angles, immediately followed by one pair of congruent sides.

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Serhii Baraniuk · Answer 2 · 2018-07-25T06:20:25+0000

Answer: B.
$\angle{C}=\angle{F}$

Explanation:

The AAS theorem says that if two angles and any side of a triangle are equal to two angles and any side of another triangle then the triangles are congruent.

In the given picture, we have two triangles having one side and one angle equal .

To prove the given triangles congruent by AAS theorem we need one more pair of angles congruent .

We can take option A.

$\angle{A}=\angle{D}$ but then the triangles wuill become conruent by ASA postulate not AAS.

Therefore, we need
$\angle{C}=\angle{F}$ to prove the given triangles congruent by AAS theorem.