请证明PQV是等腰直角三角形---**Question Information:** * **Question Number:** 15. TRIANGLE PQV * **Question Stem:** Consider triangle PQV represented below in the Cartesian plane. * **Given Information:** * Point P is on the x-axis. * The equation associated with line segment PQ is y = (3/4)x - 27. * The equation associated with line segment VQ is y = -(4/3)x + 248. * m VQ = 120 units * **Instruction:** Show that triangle PQV is both a right triangle and an isosceles triangle. **Diagram Description:** * **Type:** Geometric figure (triangle) on a Cartesian coordinate plane. * **Coordinate Axes:** X-axis and Y-axis intersecting near the origin (not explicitly labeled 'O'). Arrows indicate the positive direction of both axes. The axes appear to have a grid background (faint lines). * **Elements:** * **Points:** Three points labeled P, Q, and V forming a triangle. * Point P is located on the vertical axis (Y-axis) in the positive region in the diagram, although the text states it is on the x-axis. * Point Q is located in the first quadrant. * Point V is located in the first quadrant, to the right and slightly above Q in the diagram. * **Lines:** Three line segments connect the points P, Q, and V, forming triangle PQV. The segments are PQ, QV, and PV. * **Labels and Annotations:** Points are labeled P, Q, V. Axes are labeled x and y.