Question

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

Explanation:

Step1: Identify marked congruent sides

In $\triangle MNO$: $\overline{MN} \cong \overline{MO}$ (single tick marks).
In $\triangle PQR$: $\overline{QP} \cong \overline{PR}$ (double tick marks).

Step2: Analyze similarity conditions

Similarity requires corresponding sides to be in proportion and corresponding angles to be congruent. We only know one pair of congruent sides in each triangle, with no information about the other sides or any angles. No similarity criterion (AA, SAS, SSS similarity) can be satisfied with the given data.

Answer:

There is not enough information to determine whether the triangles are similar.