In triangle ABC, D, E, and F are the midpoints of sides BC, CA, and AB respectively. The medians AD, BE, and CF intersect at the centroid G. What is the ratio of the total length of a median to the distance from the vertex to the centroid (e.g., AD : AG)?

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.