Question

question 11 (4 points)
match each angle pair to its proper categorization:
column a

1. angle 2 and angle 6
2. angle 1 and angle 8
3. angle 1 and angle 6
4. angle 2 and angle 5

column b
a. alternate exterior angles
b. alternate interior angles
c. corresponding angles
d. same - side interior angles

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Alternate interior angles are between the two lines and on opposite sides of the transversal. Same - side interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze Angle 2 and Angle 6

They are in the same relative position at each intersection where the transversal crosses the two lines, so they are corresponding angles.

Step3: Analyze Angle 1 and Angle 8

They are outside the two lines and on opposite sides of the transversal, so they are alternate exterior angles.

Step4: Analyze Angle 1 and Angle 6

They are between the two lines and on opposite sides of the transversal, so they are alternate interior angles.

Step5: Analyze Angle 2 and Angle 5

They are between the two lines and on the same side of the transversal, so they are same - side interior angles.

Answer:

1. c. Corresponding Angles
2. a. Alternate Exterior Angles
3. b. Alternate Interior Angles
4. d. Same - Side Interior Angles