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

Answer:

(A)Square

Step-by-step explanation:

|YV|=|WV|  (Radii of circle V)

|WX|=|YX| (Tangents to a Circle are equal)

$\angle VWX=\angle VYX=90^\circ ( Angle between a radius and a tangent)$

$Given: \angle WXY=90^\circ$

Using sum of angles in a quadrilateral, $\angle WVY=90^\circ$

Since all the angles are 90 degrees, it means the length of opposite sides are equal.

Therefore:

|XY|=|YV|=|WV|=|WX| (all the four sides are equal).

The shape is a square since all the sides are equal and all the angles are 90 degrees.

Answer 2

Answer:

A

Step-by-step explanation: