Question

Triangle DEF is similar to triangle FGH. Both are right triangles.

Which statements about the two triangles must be true?

Choose all answers that are correct.



A.
Sides DF and FH are congruent.

B.
Triangle DEF is congruent to triangle FGH.

C.
Side DF has the same slope as side FH.

D.
Sides DE and FE are proportional to sides FG and HG.

Answer 1

Congruent triangles are triangles with the same sides and the same measure of angles. You are given triangle DEF which is similar to triangle FGH. From the figure, side FH is larger than side DF. So the statement of them being congruent cancels out. Triangle DEF is smaller in size than triangle FGH. So they are not congruent. The slope is defined as the rise over run. Side DF has the same slope as side FH. Sides DE and FE are proportional to sides FG and HG. Only C and D is correct.