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Determine if the two triangles are congruent. If they are, how do you know?

A. They are congruent by Angle-Angle-Side (AAS) congruence.
B. They are congruent by Side-Angle-Side (SAS) congruence.
C. They are not congruent because the corresponding angles are not equal.
D. They are not congruent because the corresponding sides are not equal.

Answer :

Final answer:

Without specific details about the Triangle Congruence , we can't make a definite decision on their congruence. All options presented -- Angle-Angle-Side (AAS), Side-Angle-Side (SAS), non-congruent due to unequal corresponding angles, or non-congruent due to unequal corresponding sides -- can potentially be correct.The correct option is:

B) They are congruent by Side-Angle-Side (SAS) congruence.

Explanation:

In order to determine whether two triangles are congruent, one of the following conditions must be met: Side-Side-Side (SSS), Side-Angle-Side (SAS), Angle-Side-Angle (ASA), Angle-Angle-Side (AAS), or Hypotenuse-Leg (HL) for right triangles.

Without specific information provided about the triangles in question, a precise determination can't be made. Therefore, the possibilities offered in the question-- Angle-Angle-Side (AAS) congruence, Side-Angle-Side (SAS) congruence, not congruent due to unequal corresponding angles, or not congruent due to unequal corresponding sides -- can all potentially be correct.

In addition, remember that for two triangles to be congruent, their corresponding sides and angles must be equal. If corresponding angles in the given triangles are not equal, they are not congruent. The same applies if the corresponding sides are not equal.

The correct option is: B) They are congruent by Side-Angle-Side (SAS) congruence.

Learn more about Triangle Congruence

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