Download Chapter 3 Review Packet

GEOMETRY
WKST 3.1-3.2
CHAPTER 3 SECTION 1 - 2
NAME_______________________________HOUR_____
DATE_____/_____/_____
Score:
For exercises 1 – 4, refer to the figure at the right.
1. Name all planes that are parallel to plane DEH.______________________________
2. Name all segments that are parallel to AB .__________________________________
3. Name all segments that intersect GH . _____________________________________
4. Name all segments that are skew to CD . ___________________________________
Identify the sets of lines to which each given line is a transversal.
5. r
6. s
7. w
______________
______________
_______________
Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interior
angles.
8. 2 and 8
9. 3 and 6
___________________________
___________________________
10. 1 and 9
11. 3 and 9
___________________________
___________________________
12. 6 and 12
13. 7 and 11
___________________________
___________________________
Name the transversal that forms each pair of angles. Then identify the special name for the angle pair.
14. 4 and 10
15. 2 and 12
___________________________
___________________________
16. 7 and 3
17. 13 and 10
___________________________
___________________________
18. 8 and 14
19. 6 and 14
___________________________
___________________________
In the figure, m2  70 . Find the measure of each angle.
20. 3
21. 5
22. 8
______________
______________
_______________
23. 1
24. 4
25. 6
______________
______________
_______________
In the figure, m7  100 . Find the measure of each angle.
26. 9
27. 6
28. 8
______________
______________
_______________
29. 2
30. 5
31. 11
______________
______________
_______________
In the figure, m3  75 and m10  115 . Find the measure of each angle.
32. 2
33. 5
34. 7
______________
______________
_______________
35. 15
36. 14
37. 9
______________
______________
_______________
Find x and y in each figure.
38.
x = ________ y = ________ 39.
x = ________ y = ________
Find m1 in each figure.
40.
m1 = ________
41.
m1 = ________
GEOMETRY
PF WKST 3.3-3.5
CHAPTER 3 REVIEW SECTIONS 3-5
NAME__________________________________HR_____
DATE_____/_____/_____
Score:
Determine the slope of the line that contains the given points.
1. S(-1, 2), W(0, 4)
2. J(-5, -2) K(5, -4)
Determine whether AB and MN are parallel, perpendicular, or neither.
3. A(0, 3) B(5, -7) M(-6, 7) N (-2, -1)
4. A(-4, -8) B(4, -6) M(-3, 5) N(-1, -3)
Graph the line that satisfies each condition.
5. (2, -3) m 
4
5
6. passes through (-3, -1),
7. passes through (3, 0),
parallel to a line whose slope is -1
perpendicular to a line whose
3
slope is
2
Write an equation in slope-intercept form for the given information.
8. m 
3
, (4, 6)
2
11. (2, -4) (5, 8)
10. x –intercept: -6, y-intercept: 2
9. m = 3, (2, -3)
12. (3, 5), parallel to m 
1
3
13. (-2, 7), perpendicular to m 
2
3
Given the following information, determine which lines, if any, are parallel. State a reason to justify your
answer.
14. 3  7
15. 9  11
16. 2  16
17. m5  m12  180
Find x so that l m .
18.
19.
20.
Fill in the reasons in the following proof.
21.
Determine whether each pair of lines is parallel. Explain your answer.
22.
23.
GEOMETRY
PF Review WKST 3.1-3.5
CHAPTER 3 STUDY GUIDE
NAME__________________________________HR_____
DATE_____/_____/_____
Refer to the diagram at the right. State the transversal
that forms each pair of angles. Then identify the
special angle relationship, if one exists. If the angles do not
form a special angle relationship, write NONE.
Score:
l
B

m
4
3
1. 1 & 5 trans:________ 2. 1 & 2 trans:_______
5
2
_______________________ __________________________
A
3. 4 &  10 trans:_______ 4. 2 &  7 trans:_______

1
6
11
7
C
8
10
9

_______________________ __________________________
In the figure below, a ║ b , CB║DF, DE bisects CDF and m4 = 110.
Find the measure of each angle. Justify your answer with a
postulate or theorem.
5. m5 = ________
E
D
B
6. m13 = ________
4 3
C
7. m12 = ________
F
10 9 8
5
7
6
a
b

1 2
11 12
14
15 13
D
8. m15 = ________
9. State which lines, if any, are parallel. State the reason that justifies your answer.
______________________________
c
68
66
112
d
a
b
Reason:_____________________________________________________
__________________________________________________
Find the value of x so that l║m. Then justify all work with the appropriate reasoning.
10.
m
l
work:
b/c:
work:
b/c:
(3x+10)
(6x-20)
11.
m
(2x-16)
l
62
12.
work:
(3x-20)
m
l
b/c:
(2x)
13. Using the points A (-2, 5) and B (4, 9) answer each of the following.
a. Find the slope of the line passing
through the points A and B.
b. State the slope of a line parallel to
AB and explain why.
c. State the slope of a line perpendicular
to AB and explain why.
work:
Slope = ________
Explanation:
Slope = ________
Slope = _________
Explanation:
14. Write an equation in slope-intercept form of
15. Write an equation in slope-intercept form of
3
the line that has m=
and contains (6, -1)
4
Equation:_______________________
Equation:____________________________
16. Write an equation in slope-intercept form for
the line that contains point (3, 5) and is parallel to
y
the line that contains (2, -4) and (5, 8).
1
x  3.
2
17. Write an equation in slope-intercept form for
the line that contains (-2, 7) and is perpendicular
y  3x  2
Equation:_______________________
Equation:_________________________
18. Find the measure of each angle:
m8  30, m9  110
m1  ________ m2  ________ m3  ________
m4  ________ m5  ________ m6  ________
m7  ________ m10  ________ m11  ________
m12  ________ m13  ________ m14  ________
Write whether each statement is true or false. If false, replace the underlined word with the word that
would make the sentence true.
_____20. 4 & 5 are alternate exterior angles.
_______________________
_____21. The ratio of the rise to the run of a line is called slope.
_____________________
_____22. If two lines do not intersect and are noncoplanar then they are parallel.
_____________________
_____23. Exterior angles are located between the lines cut by a transversal.
_____________________
_____24. The equation y = 5x -3 is in point-slope form.
_____________________
Complete a proof for each.
26. Given: 3  6
25. Given: a b
Prove:
3  6
4  5
Prove: a b
(Do NOT use: If lines are ║ , then alt int s  )
Statements
(Do NOT use: If alt int s then lines are ║.)
Reasons
Statements
Reasons
t
1
Fill in the reasons on the following proof.
27. Given:
ab
2
ta
Prove: t  b
Statements
a
b
Reasons
1. a b, t  a
1.______________________________________________
2. 1 is a right angle
2.______________________________________________
3. m1  90
3.______________________________________________
4. 1  2
4.______________________________________________
5. m1  m2
5.______________________________________________
6. m2  90
6.______________________________________________
7. 2 is a right angle
7.______________________________________________
8. t  b
8.______________________________________________