Question

When constructing a triangle congruent to a given triangle, the construction most commonly used is based upon which congruence postulate/theorem?

A. ASA

B. SSS

C. SAS

D. SSA

Answer 1

Would B be the correct answer?

Answer 2

Any of A, B or C could be correct, depending on the information available from the given triangle. SSA would not be appropriate, since it could give rise to two distinct triangles, and it is not a criterion of congruence.

Answer 3

But if I had to choose only one?!

Answer 4

Your choice could be as good as any (of the other two).
If we are given a triangle on paper, we are most likely to measure the lengths rather than angles.

Answer 5

So SSS is the correct answer?

Answer 6

You can try SSS, which is most likely correct.
The question is a bad math question because it requires subjective judgment as to which is the most "common" method.

Answer 7

thanks!

Answer 8

yw