3. The figure below shows quadrilateral XWVU, which is a parallelogram. The 4 dashed red lines bisect each vertex (angle) of the parallelogram (angles X,W,V and U). So, X₁=X2, W1=W2, and so on. These dashed lines form quadrilateral EFGH inside of parallelogram XWVU. Prove that quadrilaterial EFGH is a parallelogram. W X G2 E U V

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 18E
Question
Prove that quadrilateral EFGH is a parallelogram
3. The figure below shows quadrilateral XWVU, which is a parallelogram. The 4
dashed red lines bisect each vertex (angle) of the parallelogram (angles X,W,V
and U). So, X₁=X2, W1=W2, and so on. These dashed lines form quadrilateral
EFGH inside of parallelogram XWVU.
Prove that quadrilaterial EFGH is a parallelogram.
W
X
G2
E
U
V
Transcribed Image Text:3. The figure below shows quadrilateral XWVU, which is a parallelogram. The 4 dashed red lines bisect each vertex (angle) of the parallelogram (angles X,W,V and U). So, X₁=X2, W1=W2, and so on. These dashed lines form quadrilateral EFGH inside of parallelogram XWVU. Prove that quadrilaterial EFGH is a parallelogram. W X G2 E U V
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