Question

# Do we have enough information to say these two triangles are congruent? If so, what allows us to say this?

- No
- Yes, SSS
- Yes, HL
- Yes, SAS

Hint:

### In this question, it is given that AD = CD and BDA = BDC = 90 and we have to find are these triangles congruent and if yes using which theorem. As a side is equal and the other side is common and the angle formed with these two sides are also equal so the triangles can be easily proved congruent. Also SAS states that if two sides of a triangle and angle formed between those sides are equal to the corresponding parts of other triangle then the two triangles are congruent.

## The correct answer is: Yes, SAS

### As AD = CD and BDA = BDC = 90 and BD = BD

So, ABD CBD (by SAS congruence)

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