Question

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.

Answer 1

We are given that XY is parallel to ZW. If XZ is a transversal that intercepts XY and ZW, angle

✔ YXV

and angle

✔ WZV

are 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

✔ vertical

angles, and thus congruent. We can conclude that △XYV ~ △ZWV using the

✔ AA

similarity theorem.

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Just did the assignment.

1. angle YXV

2. and angle WZV

3. angles are congruent

4. vertical angles

5. AA