Name: ______________________________ Period: __________ Geometry Unit 3: Parallel and Perpendicular Lines Homework

Each section will be assigned separately. Do all work on your own paper and label each assignment.

Section 3.1: Properties of Parallel Lines

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

1.

2.

3.

4.

5.

6.

Find m∠1 and then m∠2. Justify each answer.

7. 8.

9.

Find the value of x. Then find the measure of each angle.

10.

11. 12.

Use figure 1 to answer questions 13 – 15.

13. Name all pairs of corresponding angles formed by the transversal t and lines s and c.

14. Name all pairs of alternate interior angles formed by the transversal t and lines s and c.

15. Name all pairs of same-side interior angles formed by the transversal t and lines s and c.

Section 3.2: Proving Lines Parallel

Which lines or segments are parallel? Justify your answer with a theorem or postulate.

1. 2.

3.

3.2 Homework is continued on the back!

4. 5. 6.

Find the value of x for which .

7.

8.

9.

10.

11.

12.

Fill in the missing statements for each proof.

13.

14.

Section 3.3: Parallel and Perpendicular Lines

Find the value of each variable.

1.

2.

3.

4.

5.

6.

7.

8.

9.

Find the measure of each numbered angle.

10.

11.

12.

13.

14.

15.

Section 3.4: Lines in the Coordinate Plane

Graph each line.

1. y = 5x + 4

2. y = x

3. x = -2

4. y = ½x - 3

5. 3x + 9y = 18

6. y = 5

7. y = -2x

8. y = -2/3x + 4

Write an equation of a line in slope – intercept form given the following information.

9. m = 1/3, (3, -6)

10. m = -2, (5, 2)

11. (2, 7) and (3, 4)

12. (-1, 3) and (0, 4)

13. Parallel to 6x – 10y = 5 and through (-5, 3)

14. Parallel to y = -1 and through (5, 7)

15. Perpendicular to 3x + 2y = -6 and through (3, 2)

16. Perpendicular to y=3/4x + 22 and through (12, 8)