Match the justifications for each step in order to complete the proof. Note that lines p and r are parallel. (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. ∠1≅∠5 ∠4≅∠5 ∠4≅∠1 p∥r

Question

Match the justifications for each step in order to complete the proof. Note that lines p and r are parallel. (2 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. ∠1≅∠5 ∠4≅∠5 ∠4≅∠1 p∥r

Answer 1

Justifications:

1. Corresponding Angles Postulate
2. Definition of congruent angles
3. Given information

Answer 2

Unfortunately, you have not provided any options or statements to match to the justifications for each step. Please provide the options or statements so that I can assist you in matching them correctly.

Answer 3

To complete the proof and match the justifications for each step, we need to analyze the given information and find the appropriate reasons for each statement.

Let's label the angles:
∠1 for angle 1
∠4 for angle 4
∠5 for angle 5

Given:
Lines p and r are parallel. (p∥r)

Statements:
1. ∠1≅∠5
2. ∠4≅∠5
3. ∠4≅∠1

To justify these statements, we can use the following reasons:

A. Corresponding angles theorem
B. Definition of congruence (≅)
C. Transitive property of congruence

Now let's match the justifications for each step:

1. ∠1≅∠5 - B. Definition of congruence (≅)
This statement states that angle 1 is congruent to angle 5. It is justified by the definition of congruence, which means that the two angles are equal in measure.

2. ∠4≅∠5 - C. Transitive property of congruence
This statement states that angle 4 is congruent to angle 5. It is justified by the transitive property of congruence, which allows us to relate the congruence of two angles to the congruence of another pair of angles.

3. ∠4≅∠1 - A. Corresponding angles theorem
This statement states that angle 4 is congruent to angle 1. It is justified by the corresponding angles theorem, which states that when two parallel lines are intersected by a transversal, the corresponding angles formed are congruent.

By matching the justifications to each step, we have completed the proof.