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Please help with congruence

Please help with congruence-example-1
User Towanna
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1 Answer

3 votes

Answer:

a) cannot tell

b) congruent

c) not congruent

Explanation:

You want to know if the triangles in the given figures are congruent.

Congruence

In order to prove congruence, we must have information to establish one of SSS, SAS, ASA, AAS congruence.

Congruence only of corresponding angles demonstrates the triangles are similar, which means they may or may not be congruent.

A

These triangles have congruent corresponding angles, so are similar. It is impossible to tell if they are congruent.

B

These triangles meet the conditions for demonstrating AAS congruence. The triangles are congruent.

C

Looking at the figure from an AAS or ASA or SAS point of view, the corresponding sides are not congruent, but the corresponding angles are. These triangles are similar, but are not congruent.

__

Additional comment

In the triangles of (c), for the given long side, the short side shown will be 25.73 in the larger triangle and 16.73 in the smaller one. That is, the angles indicate the triangles should be similar, but the given side ratios are not proportional.

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User TomoMiha
by
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