This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Identify right angles. QR is the diameter of the circle. The angle subtended by a diameter at any point on the circumference is 90^. Therefore, RPQ = 90^. It is given that UV QR. Therefore, RVU = 90^. Step 2: Identify common angles. Both triangles, RVU and RPQ, share the angle at vertex R. Thus, VRU = PRQ (common angle). Step 3: Conclude similarity. Since two angles of RVU are equal to two corresponding angles of RPQ ( RVU = RPQ = 90^ and VRU = PRQ), the triangles are similar by the Angle-Angle (AA) similarity criterion. Therefore, RVU ||| RPQ. Send me the next one 📸