Question

△jtb ~ △qsc
which proportion shows the similarity between these two figures?
$\frac{tj}{sq}=\frac{bt}{cs}$
$\frac{jt}{jb}=\frac{tj}{sq}$
$\frac{jb}{bt}=\frac{qs}{qc}$
$\frac{cq}{sc}=\frac{qc}{qs}$

Explanation:

Step1: Recall the property of similar triangles

For similar triangles \(\triangle JTB\sim\triangle QSC\), the ratios of corresponding sides are equal.

Step2: Identify corresponding sides

In \(\triangle JTB\) and \(\triangle QSC\), \(JB\) corresponds to \(QS\), \(BT\) corresponds to \(QC\), and \(TJ\) corresponds to \(SC\). So, the ratio \(\frac{JB}{BT}=\frac{QS}{QC}\) shows the similarity.

Answer:

\(\frac{JB}{BT}=\frac{QS}{QC}\)