Given: m || n and p is a transversal

Prove: m2 = m7

What is the missing reason in the proof?

Statement Reason

1. m || n and p is a transversal 1. given

2. ∠2 ≅ ∠3 2. ver. ∠s theroem

3. m∠2 = m∠3 3. def. of congruent

4. ∠3 ≅ ∠7 4. corr. ∠s theroem

5. m∠3 = m∠7 5. def. of congruent

6. m∠2 = m∠7 6.?

a. corresponding angles theorem

b. alternate interior angles theorem

c. transitive property

d. subtraction property

Question

Medina

Mathematics

29 June, 11:41

Given: m || n and p is a transversal

Prove: m2 = m7

What is the missing reason in the proof?

Statement Reason

1. m || n and p is a transversal 1. given

2. ∠2 ≅ ∠3 2. ver. ∠s theroem

3. m∠2 = m∠3 3. def. of congruent

4. ∠3 ≅ ∠7 4. corr. ∠s theroem

5. m∠3 = m∠7 5. def. of congruent

6. m∠2 = m∠7 6.?

a. corresponding angles theorem

b. alternate interior angles theorem

c. transitive property

d. subtraction property

+4

Answers (1)

Know the Answer?

Roderick · Answer 1

The answer is

c. transitive property

The previous statements are

2. ∠2 ≅ ∠3 2. ver. ∠s theroem

and

5. m∠3 = m∠7 5. def. of congruent

which are the prior proved statement to make use of the transitive property reason or proof