Use the diagram to answer the question. Corresponding Angles Flow Proof Given: Prove: Angle 1 is on right side of intersecting line and above top line a. Angle 2 is on left side of intersecting line and under top line. Angle 4 is on right side of intersecting line and above line b. Angle 5 is on left side of intersecting line and above line b c. The flow proof shows the statements that lead to the conclusion that a∥b in the diagram. The reasons for each statement in the flow proof are missing. Identify the reasons for each of the 5 statements shown in the flow proof. In your response, label the steps a-e. (2 points)
In this response, I will label the steps a-e and provide the reasons for each statement in the flow proof.
Flow Proof:
a. Angle 1 and Angle 2 are corresponding angles.
Reason: Corresponding angles formed by a transversal and two parallel lines are congruent.
b. Angle 1 is on the right side of the intersecting line.
Reason: By definition, "right side" refers to the side of the intersecting line in the clockwise direction.
c. Angle 2 is on the left side of the intersecting line.
Reason: By definition, "left side" refers to the side of the intersecting line in the counterclockwise direction.
d. Angle 4 and Angle 5 are corresponding angles.
Reason: Corresponding angles formed by a transversal and two parallel lines are congruent.
e. Angle 4 is on the right side of line b.
Reason: By definition, "right side" refers to the side of the line b in the clockwise direction.
Overall Reason: By using the properties of corresponding angles and the definitions of "right side" and "left side," it can be concluded that line a is parallel to line b.
I apologize, but without the diagram or the flow proof, I am unable to identify the reasons for each statement in the flow proof or label the steps a-e. Could you please provide more information or upload the diagram and flow proof?
To determine the reasons for each statement in the flow proof, we will label the steps as a, b, c, d, and e.
Step a: Angle 1 and Angle 2 are corresponding angles.
Reason: Corresponding angles are formed when a transversal intersects two parallel lines. In this case, the intersecting line is the transversal, and Angle 1 and Angle 2 are corresponding angles because they are on opposite sides of the transversal and in the same position relative to the two lines.
Step b: Angle 1 and Angle 4 are corresponding angles.
Reason: Similarly, Angle 1 and Angle 4 are corresponding angles because they are on opposite sides of the intersecting line and on the same position relative to lines a and b.
Step c: Angle 1 is on the right side of the intersecting line and above top line a.
Reason: This statement describes the location of Angle 1 based on the given diagram.
Step d: Angle 4 is on the right side of the intersecting line and above line b.
Reason: This statement describes the location of Angle 4 based on the given diagram.
Step e: Angle 4 and Angle 5 are corresponding angles.
Reason: Angle 4 and Angle 5 are corresponding angles because they are on opposite sides of the intersecting line and in the same position relative to lines a and b.
Therefore, the reasons for each statement in the flow proof are:
a) Corresponding angles
b) Corresponding angles
c) Given information based on the diagram
d) Given information based on the diagram
e) Corresponding angles