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AAS-angle angle side ASA-angle side angle SSS-side side sideSAS-side angle side

AAS-angle angle side ASA-angle side angle SSS-side side sideSAS-side angle side-example-1
User Gmagno
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1 Answer

18 votes
18 votes

Using the given figure, let's state the theorem which defines the congruency of both triangles.

Let's first label the triangles:

From the figure above, we now have two triangles:

Triangle ABC and Triangle CDA.

From the triangles we have the congruent sides:

AB ≅ CD

We have the congruent angles:

∠BCA ≅ ∠DAC

Also, using the reflexive property, AC ≅ AC.

Now, we have two pairs of congruent sides and one pair of non-included congruent angle.

Since we have two pairs of congruent sides and the pair congruent angles are not included we cannot prove the triangles are congruent.

Therefore, we can say the triangles are NOT CONGRUENT

ANSWER:

Not congruent.

AAS-angle angle side ASA-angle side angle SSS-side side sideSAS-side angle side-example-1
User Adrian Marinica
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3.1k points
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