Find the measure of each angle

buddy, i'm pretty sure you're meant to measure that angle with a protractor.

A. disagree.  There is not enough information to prove the triangles are congruent by SAS.  There is no way to prove angles are congruent in this case. Since it is also not given, it should not be SAS.

B. SSS.  Since all three sides are congruent, it can be proven congruent by SSS. Side AB and BC are congruent because it is bisected, and AB is congruent to AB because of Reflexive property.  It is also given AD is congruent to DC, therefore it is congruent by SSS.

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