Question

Match the reasons with the statements in the proof.

1. j||k, m∠3 = m∠1
If alternate interior angles are =, then lines are ||.
2. m∠1 = m∠2
Substitution
3. m∠2 = m∠3
Given
4. l||m
If lines are ||, then corresponding angles are =.

Answer 1

1. j||k, m∠3 = m∠1
Given

2. m∠1 = m∠2
If lines are ||, then corresponding angles are =.


3. m∠2 = m∠3
Substitution 

4. l||m
If alternate interior angles are =, then lines are ||. 

Answer 2

Answer:

1-given

2-if lines are parallel, then corresponding angles are equal

3-Substitution

4-if alternate interior angles are equal then lines are parallel.

Step-by-step explanation:

Given j is parallel to k,$m\angle3 =m\angle 1$

We have to prove that line l is parallel to m

We  have to match reason with its correct statement in given proof.

1.j is parallel to k,$m\angle 3=m\angle 1$

Reason:given

2.$m\angle 1=m\angle 2$

Reason:if the lines are parallel , then corresponding angles are equal.

3.$m\angle 2=m\angle 3$

Reason: substitution

4.line l is parallel to m

Reason: If alternate interior angles are equal ,then lines are parallel.