Given: XY || ZW
Prove: AXYV – AZWV
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proof.
Xa
We are given that XY is parallel to ZW. If XZ is a
transversal that intercepts XY and ZW, angle
and angle
are alternate interior angles. Since
XY is parallel to ZW, we know that these angles are
We also know that angle XVY and angle
ZVW are
angles, and thus
congruent. We can conclude that AXYV - AZWV
using the similarity theorem.