Question

1. tqrs ~ bcde. name a pair of corresponding sides.

rs and bc

ts and cd

tq and be

qr and cd

Explanation:

Step1: Recall similar - figure property

In similar polygons, corresponding angles are equal and corresponding sides are in proportion. The order of the letters in the similarity statement gives the correspondence. Since \(TQRS\sim BCDE\), \(T\) corresponds to \(B\), \(Q\) corresponds to \(C\), \(R\) corresponds to \(D\), and \(S\) corresponds to \(E\).

Step2: Identify corresponding sides

The side \(\overline{QR}\) in polygon \(TQRS\) corresponds to the side \(\overline{CD}\) in polygon \(BCDE\) as per the letter - to - letter correspondence.

Answer:

\(\overline{QR}\) and \(\overline{CD}\)