Question

Quadrilateral W X Y Z is shown. Diagonals are drawn from point W to point Y and from point Z to point X and intersect at point C. The lengths of W C and C Y are congruent. Which best explains if quadrilateral WXYZ can be a parallelogram? WXYZ is a parallelogram because diagonal XZ is bisected. WXYZ is not necessarily a parallelogram because it is unknown if CZ = CY. WXYZ is a parallelogram because ZC + CX = ZX. WXYZ is not necessarily a parallelogram because it is unknown if WC = CY.

Answer 1

Answer:

3 the answer is three on edgenuity

Step-by-step explanation

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Answer 2

Answer:

A.  WXYZ is a parallelogram because diagonal XZ is bisected.

Step-by-step explanation:

A parallelogram is an example of quadrilaterals which has pairs of opposite sides parallel and equal.

In the given question;

WC ≅ CY

⇒ WY = WC + CY

Considering diagonal WY,

ΔWYZ ≅ ΔWYX (diagonal property of a parallelogram)

WY ⊥ XZ (diagonals of a parallelogram bisect each other)

Thus;

XC ≅ CZ

Therefore. WXYZ is a parallelogram.