Will give are given that xy is parallel to zw. if xz is a transversal that intercepts xy and zw, angle angle 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 , and thus congruent. we can conclude that △xyv ~ △zwv using the similarity theorem.

Step-by-step explanation:

From △XYV and △ZWV, we have

∠YXZ=∠WZX (Alternate interior angles)

∠XVY=∠ZVW(Vertically opposite angles)

By AA rule,

△XYV is similar to △ZWV.

We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, ∠YXZ=∠WZX (Alternate interior angles), Since XY is parallel to ZW, we know that these angles are congruent.  We also know that angle XVY and angle ZVW are Vertically opposite angles and thus congruent. We can conclude that △XYV ~ △ZWV using the AA similarity theorem.

1. YVX

2. WZV

3. Congruent

4. Vertical

5. AA

Step-by-step explanation:

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