Question

choose all answers that describe the quadrilateral vwxy if m∠v = m∠w = m∠x = m∠y and diagonal vx meets diagonal wy at a right angle. answer attempt 2 out of 2 parallelogram rectangle rhombus square trapezoid

Explanation:

Step1: Analyze angle - equality property

Since \(m\angle V=m\angle W = m\angle X=m\angle Y\), and the sum of interior angles of a quadrilateral is \(360^{\circ}\), then each angle is \(\frac{360^{\circ}}{4}=90^{\circ}\). A quadrilateral with four right - angles is a rectangle.

Step2: Analyze diagonal property

The diagonals \(\overline{VX}\) and \(\overline{WY}\) meet at a right - angle. A rectangle whose diagonals are perpendicular to each other is a square.

Step3: Recall related quadrilateral definitions

A square is also a parallelogram (since opposite sides are parallel), and a square is also a rhombus (since all sides are equal and diagonals are perpendicular bisectors of each other).

Answer:

A. Parallelogram
B. Rectangle
C. Rhombus
D. Square