Given: XY || ZW
Prove: △XYV ~ △ZWV
Triangles X V Y and W V Z are connected at point V. Sides X Y and W Z are parallel.
Use the drop-down menus to complete the paragraph proof.
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 △XYV ~ △ZWV using the
similarity theorem.
