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:
a. Transitive Property
Step-by-step 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.
Answer: a. Transitive property.
Step-by-step 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.
a ≅ c.