Question

What is the missing reason in the proof

Answer 1

Transitive Property is the correct answer.

Answer 2

The correct option is 1.

Explanation:

Given information: x║y, w is transversal line.

From the given figure it is clear that

`\angle 2\cong \angle 3` (Definition of vertically opposite angles)

`\angle 2\cong \angle 6` (Definition of corresponding angles)

According to the transitive property of congruent angles, if ∠1 ≅ ∠2 and ∠2 ≅ ∠3, then ∠1 ≅ ∠3.

Using transitive property of congruent angles, we get

`\angle 3\cong \angle 6`

The missing reason is transitive property, therefore the correct option is 1.