Question

given that triangle abc is congruent to triangle pqr, but triangle abc is not congruent to triangle rpq, which of the following statements is not correct? a bc = pq b ac = pr c qr = bc d ab = pq

Explanation:

Step1: Recall congruent - triangle property

When \(\triangle ABC\cong\triangle PQR\), the corresponding sides are equal. That is, \(AB = PQ\), \(BC=QR\), and \(AC = PR\).

Step2: Analyze each option

• Option a: Since \(BC = QR

eq PQ\), this statement is incorrect.

• Option b: \(AC = PR\) is correct according to the congruence of \(\triangle ABC\) and \(\triangle PQR\).
• Option c: \(QR = BC\) is correct according to the congruence of \(\triangle ABC\) and \(\triangle PQR\).
• Option d: \(AB = PQ\) is correct according to the congruence of \(\triangle ABC\) and \(\triangle PQR\).

Answer:

a. \(BC = PQ\)