Question

1. complete the table using the illustration below, given that $overline{ab}congoverline{yz}$ to prove that $overline{ay}congoverline{bz}$.

Explanation:

Step1: Recall reflexive property

The reflexive property of equality states that a quantity is equal to itself. In the context of line - segments, for the segment \(RS\), we have \(RS = RS\).

Step2: Understand the proof structure

We are using the given \(QR = ST\), the segment - addition postulate (\(QR+RS = QS\) and \(RS + ST=RT\)), and substitution to prove \(QS = RT\). The missing step based on the reflexive property of equality is \(RS=RS\).

Answer:

\(RS = RS\)