Question

determine if triangle klm and triangle nop are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.)

Explanation:

Step1: Recall similarity criterion

Two triangles are similar if two pairs of corresponding angles are equal.

Step2: Identify equal angles

In $\triangle KLM$, angles are $67^{\circ}$ and $60^{\circ}$. In $\triangle NOP$, angles are $68^{\circ}$ and $60^{\circ}$.

Step3: Check for similarity

Since only one pair of angles ($60^{\circ}$) is equal and the other non - equal angles ($67^{\circ}
eq68^{\circ}$), the triangles are not similar.

Answer:

The triangles $KLM$ and $NOP$ are not similar because only one pair of angles is equal and the other pair of corresponding angles are not equal.