Question

If LMN~RST, write a proportion that relates the corresponding side lengths of the triangle.

a) LM/R = RS/NT
b) LN/RT = MN/ST
c) LM/RS = LN/RT
d) LM/RS = MN/ST

Answer 1

The correct proportion that relates the corresponding side lengths of the triangles is LM/RS = MN/ST.

Step-by-step explanation:

The correct proportion that relates the corresponding side lengths of the triangles is option d) LM/RS = MN/ST.

In a similar triangle, the corresponding sides are in proportion. So, we can set the ratio of the corresponding side lengths of the triangles equal to each other to form a proportion.

Using the given triangle relationship, we have:

LMN~RST, which means LM/RS = LN/RT = MN/ST.

Therefore, the correct proportion that relates the corresponding side lengths of the triangles is LM/RS = MN/ST.