Question

In two triangles, three angles of one triangle are correspondingly equal to the three angles of the another triangle.
Which of the following statements is correct?

• A. Both triangles may be congruent or may not be congruent.
• B. The two triangles can never be congruent
• C. The two triangles must be congruent
• D. None of the above

Answer 1

The correct option is A Both triangles may be congruent or may not be congruent.

Given that all corresponding angles of both triangles are equal.
Let us try to visualise the possibilities using a diagram,
We can clearly observe from the diagram that shape of both triangles are same but their size may be same or may not be same.

We know: For two triangles to be congruent, their shape and size must be same.
Hence, option(a.) is correct.