What additional information is needed to prove the triangles are congruent by the SAS Postulate?

Question

anonymous · Answer

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jabez177 · Answer

It's A or D. Which one do you think it is?

anonymous · Answer

D?

mathstudent55 · Answer

We are shown sides BC and DC are congruent.
That is a pair of sides.
We need another pair of sides and a pair of angles to be able to use SAS.
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mathstudent55 · Answer

Is there a pair of sides that you can conclude are congruent just by using the figure?

mathstudent55 · Answer

The figure below shows it.
Segment BC is congruent to itself.
Segment BC is a side of both triangles, so now you have 2 pairs of corresponding congruent sides.
To use SAS, all you need now is a pair of corresponding congruent angles.
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mathstudent55 · Answer

SAS means two sides and the ***included*** angle.
Which angle in each triangle is included by the congruent sides?
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