If B is the center of a circle and lines AD and CD are tangent segments drawn from an external point D, then which of the following classifications apply to quadrilateral ABCD? (a) Kite (b) Cyclic quadrilateral (c) Rhombus (d) Trapezium

In a parallelogram PQRS, rays PA and SA are the angle bisectors of ∠QPS and ∠RSP respectively. Find the measure of ∠PAS.

In ΔPQR, points A, B, and C are the midpoints of sides PQ, QR, and PR respectively. Points L, M, and N are the midpoints of sides AC, AB, and BC respectively. If the lengths of the sides of ΔPQR are 15.5 cm, 12.7 cm, and 9.4 cm, find the perimeter of ΔLMN.