Question

△hij and △klm are shown below.
which statement is true?
△hij is similar to △klm.
△hij is not similar to △klm.
there is not enough information to determine whether the triangles are similar.

Explanation:

Similar triangles require corresponding sides to be in proportion (SSS similarity criterion). $\triangle HIJ$ has all sides congruent (it is equilateral, each side marked with one tick). $\triangle KLM$ has all sides congruent (each side marked with two ticks), so it is also equilateral. All equilateral triangles have corresponding sides in a constant proportion and all angles equal to $60^\circ$, satisfying the similarity condition.

Answer:

$\triangle HIJ$ is similar to $\triangle KLM$.