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

Option B is correct.

By ASA rule are these triangles are congruent

Step-by-step explanation:

In triangle JMK and triangle JMN

  [Angle]         [Given]

  [Common Side]  

  [Angle]

ASA(Angle-Side-Angle) theorem states that if two angles and the included  side of one triangle are congruent to the corresponding parts of another triangle, then these triangles are congruent.

then, by ASA theorem;

Therefore, by ASA rule are these triangles are congruent.