Question

question 9 of 10
which descriptions from the list below accurately describe
the relationship between △abc and △def? check all that apply.

a. proportional side lengths
b. same size
c. congruent
d. none of the above

Explanation:

Step1: Check side ratios

In $\triangle ABC$, sides are 3, 4, 5. In $\triangle DEF$, sides are 6, 8, 10. Calculate ratios: $\frac{6}{3}=2$, $\frac{8}{4}=2$, $\frac{10}{5}=2$. So sides are proportional.

Step2: Check size and congruence

Since side lengths are scaled by a factor of 2, they are not the same size (so B is wrong) and not congruent (congruent requires same size, so C is wrong). D is wrong as A is correct.

Answer:

A. Proportional side lengths