Target question: Does PQ = PR ?neeti2711 wrote:If P, Q and R are three distinct points, do line segments PQ and PR have the same length?
(1) P is the midpoint of the segment QR
(2) Q and R lie on the same circle with center P
Statement 1: P is the midpoint of the segment QR
From the definition of midpoint, this statement tells us that PQ must equal PR
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: Q and R lie on the same circle with center P
If P is the center of a circle, then PQ and PR are both radii of that circle.
Since all radii of a circle have the same length, PQ must equal PR
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer = D
Cheers,
Brent
