Question

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. ? corresponding angles theorem alternate interior angles theorem transitive property subtraction property

Answer 1

its transitive property

Answer 2

The transitive property

Explanation:

The statement 3 established:

m∠2 = m∠3

The statement 5 established:

m∠3 = m∠7

The transitive property states:

If a = b and b = c, then a = c

Therefore:

m∠2 = m∠7

and the reason is the transitive property