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For which drawing can you use the given information and the SAS Congruence Theorem to prove that the triangles are congruent?

For which drawing can you use the given information and the SAS Congruence Theorem-example-1

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The drawing where you can use the the SAS Congruence Theorem to prove the congruence is (a)

Using the SAS congruence theorem to prove the congruence of triangles

From the question, we have the following parameters that can be used in our computation:

The pair of triangles

By definition:

The SAS Congruence Theorem states that if two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are congruent.

In option (a), we have that:

The two legs of the triangles are congruent

This is evident by the marks of congruence (I and II) on the corresponding sides

Also, we can see that

The included angle between the corresponding side are congruent

So, we have

Two sides (SS) and an angle (A) between the sides

This can then be rewritten as

SAS

Hence, the pair of triangles is (a)

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