Question

help me solve this view an example get more help is \\( \triangle mno \\) similar to \\( \triangle pqo \\)? choose the correct answer below. yes no

Explanation:

Step1: Calculate the side lengths

Assume the length of each grid is \(1\).
For \(\triangle MNO\), \(ON = 4\), \(MN=6\).
For \(\triangle PQO\), \(OQ = 4\), \(PQ = 6\).

Step2: Check the similarity ratio

Since \(\frac{ON}{OQ}=\frac{4}{4} = 1\), \(\frac{MN}{PQ}=\frac{6}{6}=1\), and \(\angle MNO=\angle PQO = 90^{\circ}\).
By the Side - Angle - Side (SAS) similarity criterion, \(\triangle MNO\sim\triangle PQO\).

Answer:

Yes