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16.Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent?

X

A. either SAS or AAS

B. SAS only

C. AAS only

D. neither

16 Can you use the SAS Postulate the AAS Theorem or both to prove the triangles congruent X A either SAS or AAS B SAS

Answer :

The given triangles are congruent by AAS rule.

Therefore, the correct option is C.

Given is a figure which is divided into two triangles, we need to see if the triangles are congruent or not,

So,

The triangles have one pair of sides equal [shown].

The triangles have one pair of angles equal [shown].

Now the "hidden" pair of angles that are equal are the angles which are equal by vertically opposite angle postulate, [where the triangles meet].

In AAS congruency theorem, the triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

Therefore, we can say that the triangles are congruent by AAS congruency rule.

Therefore, the correct option is C.

Learn more about congruent triangles click;

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Rewritten by : Barada

The answer is C

You are already given one angle and one side. Using the vertical angles postulate we know that the two verticle angles are congruent, satisfying the AAS criteria