Properties of Triangle PQR

Medium Geometry Coordinate Geometry

In the coordinate plane, points P(2, 3), Q(6, 7), and R(2, 7) are plotted. The triangle formed by these points is a right triangle.

Which of the following statements about triangle PQR is true?

Triangle PQR has a right angle at point P.

The base of triangle PQR is the segment QR.

The area of triangle PQR is 10 square units.

The length of segment PQ is equal to the length of segment PR.

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