Question

Which descriptions from the list below accurately describe the relationship between ABC and DEF? Check all that apply.

Answer 1

Answer: a. proportional side lengths.

Step-by-step explanation:

In the given figure we can see in ΔABC  and  ΔDEF

∠A=∠D=53°

∠B=∠E=37°

∠C=∠F=90° [right angles]

So by AAA similarity criteria they are similar.

We know that the side lengths of similar triangles are proportional, thus A is correct.

We can see from the figure that all the corresponding sides are proportional but not of same measure.Therefore, they are not congruent and not same.

Only A is the correct option.

Answer 2

Look at the sizes, can ABC be multiplied to a number where it would be the exact size as DEF? If so, check both proportional side lengths and both being congruent. However, since ABC is smaller than DEF, do not check them being the same size or being congruent, as them being congruent would mean that their sides are equal in length to each other.