Question

Given: Line segment N M is parallel to line segment P O. and Angle 1 is-congruent-to angle 3 Prove: Line segment N M is parallel to line segment N O. 4 lines are connected. Line segment L M connects to line segment M N to form angle 1. Line segment M N connects to line segment N O to form angle 2. Line segment N O connects to line segment O P to form angle 3. A 2-column table has 5 rows. Column 1 is labeled statements with the entries line segment N M is parallel to line segment P O, angle 2 is-congruent-to angle 3, angle 1 is-congruent-to angle 3, angle 1 is-congruent-to angle 2, line segment L M is parallel to line segment N O. What is the missing reason in the proof? given transitive property alternate interior angles theorem converse alternate interior angles theorem

Answer 1

Answer:

C: Alternate interior angles theorem

Step-by-step explanation:

Edge 2020

Answer 2

The missing reason in the proof is:

transitive property.

(See image in the attachment below for the diagram containing full information of the question).

• Transitive property in mathematics can be explained below for better understanding:

If,

$p= q, and \\r= q$

then,

$q = r$

• From the proof stated, we know that:

$\angle 2 = \angle 3\\\angle 1 = \angle 3$

Applying the transitive property of equality, therefore,

$\angle 1 = \angle 2$

Because we can prove that $\angle 1 = \angle 2$ by the transitive property of equality, therefore, the last statement in the proof can be justified also stating that lines LM and NO are parallel based on the converse of alternate interior angles theorem.

Therefore, the missing reason that justifies why $\angle 1 = \angle 2$ is:

transitive property

Learn more about transitive property here:

https://brainly.com/question/4919758