Question

1. find the ratio of the lengths of corresponding sides for the similar triangles below. express the ratio with the lengths from the smaller number in the numerator (top of fraction). the triangles are not drawn to scale. a. $\frac{5}{7}$ b. $\frac{4}{7}$ c. $\frac{2}{3}$ d. $\frac{7}{6}$ 18 in 12 in 21 in 14 in

Explanation:

Step1: Identify corresponding sides

We can compare the sides 14 in and 21 in (or 12 in and 18 in).

Step2: Calculate the ratio

The ratio of the side - length of the smaller triangle to the side - length of the larger triangle for the pair 14 in and 21 in is $\frac{14}{21}=\frac{2}{3}$. Similarly, for the pair 12 in and 18 in, $\frac{12}{18}=\frac{2}{3}$.

Answer:

C. $\frac{2}{3}$