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

Solution:

x y ║ z w→→Given

Also, x z is a transversal, that intercepts x y and z w.

So, ∠ x z w=∠z x y→→Alternate interior angles as, x y ║ z w.

Also, v is point of intersection of x z and y w.

∠ x v y ≅ ∠ z v w→→[ Vertically opposite angles]

So,→→ Δ x y v ~ Δ z w v⇒⇒[Angle-Angle Similarity]

Answer 2

Answer:

Step-by-step explanation:

Just did the assignment.

1. angle YXV

2. and angle WZV

3. angles are congruent

4. vertical angles

5. AA