Question

lesson 3.1 practice continued for use with pages 148 - 152
classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

1. ∠1 and ∠9
2. ∠8 and ∠13
3. ∠6 and ∠16
4. ∠4 and ∠10
5. ∠8 and ∠16
6. ∠10 and ∠13

classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

1. ∠1 and ∠5
2. ∠4 and ∠6
3. ∠16 and ∠10
4. ∠11 and ∠16
5. ∠12 and ∠14
6. ∠7 and ∠13

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 interior angles are between the two lines and on opposite sides of the transversal. Alternate exterior angles are outside the two lines and on opposite sides of the transversal. Consecutive interior angles are between the two lines and on the same side of the transversal.

Step2: Analyze each angle - pair

11. $\angle1$ and $\angle9$

They are in the same relative position at different intersections, so they are corresponding angles.

12. $\angle8$ and $\angle13$

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

13. $\angle6$ and $\angle16$

They are in the same relative position at different intersections, so they are corresponding angles.

14. $\angle4$ and $\angle10$

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

15. $\angle8$ and $\angle16$

They are in the same relative position at different intersections, so they are corresponding angles.

16. $\angle10$ and $\angle13$

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

For the second set of angle - pairs:

11. $\angle1$ and $\angle5$

They are in the same relative position at different intersections, so they are corresponding angles.

12. $\angle4$ and $\angle6$

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

13. $\angle16$ and $\angle10$

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

14. $\angle11$ and $\angle16$

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

15. $\angle12$ and $\angle14$

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

16. $\angle7$ and $\angle13$

They are in the same relative position at different intersections, so they are corresponding angles.

Answer:

1. Corresponding angles
2. Alternate exterior angles
3. Corresponding angles
4. Alternate interior angles
5. Corresponding angles
6. Consecutive interior angles

Second set:

1. Corresponding angles
2. Alternate interior angles
3. Alternate interior angles
4. Alternate exterior angles
5. Alternate exterior angles
6. Corresponding angles