Question

ABCD is a rhombus. Explain why...

Answer 1

The info you give, the two congruent triangles, is not enough to prove ABCD is a rhombus. It's enough to prove it's a parallelogram.

Answer 2

You mean the given info is that ABCD is a rhombus and you want to know why you know those 2 triangles are congruent?

Answer 3

Yes, please.

Answer 4

Ok, since ABCD is a rhombus, opposite sides are congruent.

Answer 5

That means side AB is congr to side DC and side AD is congr to side BC.
All of that is from the definition of a rhombus which is also a parallelogram.

Answer 6

Side AC is congruent to itself.

Answer 7

So you have three sides of one triangle, ABC which are congruent to three sides of another triangle, so the triangles are congruent by SSS.

Answer 8

Oh okay, this makes sense. Thank you for for helping me with this!