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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 =.

Match the reasons with the statements in the proof 1 jk m3 m1 If alternate interior angles are then lines are 2 m1 m2 Substitution 3 m2 m3 Given 4 lm If lines a class=

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choixongdong
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 ||. 
lublana

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,[tex]m\angle3 =m\angle 1[/tex]

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,[tex] m\angle 3=m\angle 1[/tex]

Reason:given

2.[tex]m\angle 1=m\angle 2[/tex]

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

3.[tex]m\angle 2=m\angle 3[/tex]

Reason: substitution

4.line l is parallel to m

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

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