402,354 views
43 votes
43 votes
Can the following two triangles be proven congruent through AAS?

A. Yes, since three pairs of angles are congruent, ∠C≅∠V

C


V
, ∠B≅∠W

B


W
, and ∠A≅∠U

A


U
, the triangles are congruent through AAS.


B.No, since ∠C≅∠V

C


V
, ∠B≅∠W

B


W
, and a pair of included sides are congruent, AC⎯⎯⎯⎯⎯⎯⎯⎯≅UV⎯⎯⎯⎯⎯⎯⎯⎯⎯
A
C
¯

U
V
¯
, the triangles aren’t congruent through AAS.


C.Yes, since two pairs of angles are congruent,∠C≅∠V

C


V
and ∠B≅∠W

B


W
, and a pair of non-included sides are congruent, AC⎯⎯⎯⎯⎯⎯⎯⎯≅UV⎯⎯⎯⎯⎯⎯⎯⎯⎯
AC¯≅UV¯, the triangles are congruent through AAS.

D.No, since only two pairs of angles are congruent, the triangles aren’t congruent through AAS.

Can the following two triangles be proven congruent through AAS? A. Yes, since three-example-1
User Sean Wessell
by
2.9k points

1 Answer

13 votes
13 votes

Answer:

C. YES

Explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

User ARIF MAHMUD RANA
by
2.9k points
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