Question

what is the missing reason in the proof? a. transitive property b. symetric property c. vertical angles are congruent d. definition of supplementary angles

Answer 1

Answer: a. Transitive property.

Explanation:

We can see that , Statement 2 , in the given proof says that ∠2 ≅ ∠3 and Statement 3 says that

∠2 ≅ ∠6

Then by using transitive property of congruence, we have

∠3 ≅ ∠6

Thus, the missing reason in the proof = Transitive property .

Hence, the correct answer is option (a.) transitive property.

• Transitive property of congruence says that if a ≅ b and b ≅ c then

a ≅ c.

Answer 2

a. Transitive Property

Explanation:

Transitive Property of Equality: If a = b and b = c, then a = c

If ∠2 is congruent to ∠3 and ∠2 also congruent to ∠6, that means that ∠3 must be congruent to ∠6, as well, because they all equal the same degree.