Question

Write a congruence statement for the pair of triangles shown.

∆ZVY ≅ ∆WYV


∆ZVY ≅ ∆VWY


∆ZVY ≅ ∆WVY


∆ZVY ≅ ∆YVW

Answer 1

∆ZVY ≅ ∆WVY

Explanation:

According to the image attached, a parallelogram is divided in two congruent triangles, where

`\angle VZY \cong \angle YWV\\\angle ZVY \cong \angle WVY`, by given.

Also,
`\angle VZY + \angle ZVY + \angle VYZ = 180\°`, by internal angles theorem.

Also,
`\angle YWV + \angle WVY + \angle VYW = 180\°`, by internal angles theorem.

Then,

`\angle VYZ= \angle VYW \\`

Therefore,
`\triangle VZY \cong \triangle VWY`, by AAA postulate of congruence.

So, the right anwer is ∆ZVY ≅ ∆WVY, because it shows correctly each pair a vertices.