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 2, triangles are not same size (DEF is larger) and not congruent (congruent requires equal side lengths). So B and C are wrong. A is correct.

Answer:

A. Proportional side lengths