Question

Your friend thinks that the triangles shown below are congruent by SAS. Is your friend​ correct?
Explain. Question content area bottom Part 1 Choose the correct answer below.
A. ​Yes, the figure indicates that three corresponding sides are congruent.
B. ​Yes, the figure indicates that two corresponding angles and their included side are all congruent.
C. ​No, the figure only indicates that two corresponding sides are​ congruent, not three as required by the SAS Postulate.
D. ​No, the congruent sides are not the included sides.
E. ​No, the congruent angles are not the included angles.
F. ​Yes, the figure indicates that two corresponding sides and their included angle are all congruent

Answer 1

The correct answer about your friend using SAS Congruence Theorem is; E. ​No, the congruent angles are not the included angles.

How to Identify rules of congruence?

The SAS congruence theorem of triangles states that If any two sides and angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.

Now, in the given triangles attached, we see that we are shown the corresponding sides that are congruent. However, it is clear that the angle is not in between the two corresponding sides and as such we say that this does not follow the SAS Congruence theorem because the congruent angles are not the included angles.

Read more about Congruency theorem at; https://brainly.com/question/2938476

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