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What is True About the Quadrilateral?

GEOM-OCZVWE

Given that $\angle ESI\cong \angle INE$ and $\angle SIN\cong \angle SEN$, what is true about the quadrilateral?

Select ALL that apply.

Created for Albert.io. Copyright 2015. All rights reserved.

A

Quadrilateral $SINE$ is a parallelogram

B

Quadrilateral $SINE$ is a rhombus

C

$\angle ESN\cong \angle INS$

D

$X$ is the midpoint of $\overline { EI }$

E

$\overline { SX }\cong \overline { IX }$

F

$\overline { SE }\cong \overline { NI }$