Geometry Review Worksheet Name:

Chapter 3 part 1

alternate exterior angles perpendicular bisector same side interior angles

alternate interior angles perpendicular lines skew lines

corresponding angles point-slope form slope

parallel lines rise slope-intercept form

parallel planes run transversal

In #1-5, complete the sentences with the vocabulary work from the list above.

1. Angles on opposite sides of a transversal and between the lines it intersects are _______________.

2. Lines that do not intersect and are in different planes are ____________________.

3. A(n) ____________________ is a line that intersects two coplanar lines at two different points.

4. The ______________________________ is used to write the equations of a line with a given slope

that passes through a given point.

5. The slope of a line is the ratio of the __________ to the __________.

In #6-9, identify each of the following.

6. a pair of skew segments

7. a pair of parallel segments

8. a pair of perpendicular segments

use for #6-9

9. a pair of parallel planes

In #10-13, identify the transversal and classify each angle pair.

10. <5 and <2 11. <6 and <3

12. <2 and <4 13. <1 and <2

use for #10-13

(over)

In #14-17, find each angle measure. Show work when appropriate.

14. m<WYZ 15. m<KLM

16. m<DEF 17. m<QRS

In #18-21, write the reason that n || p (i.e. corr. <’s are , alt. int. <’s are , alt. ext. <’s are ,

or ss int. <’s are supp). When algebra expressions are given, show the work to find the angle

measures (plug in the x values), then write the reason the lines are parallel.

18. m<4 = 58, m<6 = 58

19. m<1 = 23x + 38, m<5 = 17x + 56, x = 3 use for #18-21

20. m<6 = 12x + 6, m<3 = 21x + 9, x = 5

21. m<1 = 99, m<7 = 13x + 8, x = 7

For #22-23, use the slope formula to determine the slope of each line. Show work.

22. 23.

In #24-26, use slopes to determine whether the lines are parallel, perpendicular or neither. Show

all work (i.e. find the slope of each line, then answer ||, , or neither with appropriate notation).

24. EF and GH for E(8, 2), F(-3, 4), G(6, 1), and H(-4, 3)

25. JK and LN for J(4, 3), K(-4, -2), L(5, 6), and N(-3, 1)

26. ST and UV for S(-4, 5), T(2, 3), U(3, 1), and V(4, 4)

(over)

In #27-29, write the equation of each line in the indicated for. Show work.

27. the line through (6, 1) and (-3, 5) in slope-intercept form

28. the line through (-3, -4) with slope 2

3 in slope-intercept form

In #29-31, determine whether the lines are parallel, intersect or coincide. It will help to put

equations in slope-intercept form.

29. -3x + 2y = 5 and 6x – 4y = 8

30. y = 4x – 3 and 5x + 2y = 1

31. y = 2x + 1 and 2x – y = -1