Select the correct answer. In the diagram, quadrilateral LMNO is a parallelogram. What is the length of ?

A.
6

B.
5.66

C.
5.39

D.
2.24

Statement

Reason

1. and bisect each other. given
2. WA = YA
XA = ZA

definition of bisection

3. m∠YAZ = m∠XAW

Vertical Angles Theorem

4.

SAS criterion for congruence

5. ∠ YWX ≅ ∠WYZ

Corresponding angles of congruent triangles are congruent.

6. ||

converse of Alternate Interior Angles Theorem

7. m∠XAY = m∠ZAW

Vertical Angles Theorem

8. ∆XAY ≅ ∆ZAW

SAS criterion for congruence

9. ∠XZW ≅ ∠ZXY

Corresponding angles of congruent triangles are congruent.

10. ||

converse of Alternate Interior Angles Theorem

11. Quadrilateral WXYZ is a
parallelogram.

definition of parallelogram

What is the missing statement in this proof?

A.
∆XWY ≅ ∆ZYW

B.
∆YAZ ≅ ∆WAX

C.
WY = XZ

D.
||