Question

yes
no
write a similarity statement.
△
submit

Explanation:

Step1: Identify corresponding sides and angles

In \(\triangle I H J\) and \(\triangle P Q R\), \(\angle H=\angle P = 96^{\circ}\).
\(\frac{IH}{PQ}=\frac{66}{32}=\frac{33}{16}\), \(\frac{HJ}{QR}=\frac{44}{30}=\frac{22}{15}\) (This step is wrong in original thought, correct: \(\frac{IH}{PQ}=\frac{66}{33} = 2\), \(\frac{HJ}{QR}=\frac{44}{22}=2\), \(\frac{IJ}{PR}\) (assuming \(IJ\) and \(PR\) are the third sides, if the ratio of two sides is equal and the included angle is equal, we use SAS (Side - Angle - Side) similarity criterion).
Since \(\angle H=\angle P\), and \(\frac{IH}{PQ}=\frac{HJ}{QR}\) (if \(IH = 66\), \(PQ=33\), \(HJ = 44\), \(QR = 22\)) \(\frac{66}{33}=\frac{44}{22}=2\)

Step2: Write the similarity statement

The vertices should be in order of corresponding angles. So \(\triangle IHJ\sim\triangle PQR\)

Answer:

\(\triangle IHJ\sim\triangle PQR\)