Question

Angle X is a circumscribed angle of circle V.

Circle V is shown. Line segments Y V and W V are radii. Tangents Y X and W X intersect at point X outside of the circle. Angle X is a right angle.

Which name best describes figure VWXY?

square
parallelogram
quadrilateral
trapezoid

Answer 1

Parallelogram.

Reason: VW and VY are radii so they are each perpendicular to the tangents at W and Y. Since WX and XY are tangents and WX ⟂ XY, we get VW ∥ XY and VY ∥ WX (each pair is perpendicular to the same line). Both pairs of opposite sides are parallel, so VWXY is a parallelogram (in fact a rectangle, but not necessarily a square).