Question

in exercises 3 and 4, copy and complete the proof. 3. given $pq = rs$ prove $pr = qs$

Explanation:

Step1: Identify equal - length segments

Given \(PQ = RS\).

Step2: Add the common segment \(QR\) to both sides

\(PQ+QR=RS + QR\).

Step3: Use segment - addition postulate

By the segment - addition postulate, \(PQ + QR=PR\) and \(RS+QR = QS\). So \(PR=QS\).

Answer:

The proof is completed as shown above to prove \(PR = QS\).