Question

ΔLMN ~ ΔHIJ and `(LM)/(HI) = 2/3` then

Options

• ΔLMN is a smaller triangle.

• ΔHIJ is a smaller triangle.

• Both triangles are congruent.

• Can’t say.

Answer 1

ΔLMN is a smaller triangle.

Explanation:

Similar triangles have corresponding sides in proportion, so `(LM)/(HI) = 2/3` means every side of ΔLMN is `2/3` the length of the corresponding side of ΔHIJ a scale factor less than 1, so ΔLMN is the smaller triangle.