Download Chapter 3 Review

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
the line that has m=
3
and contains (6, -1)
4
Equation:_______________________
the line that contains (2, -4) and (5, 8).
Equation:____________________________
16. Write an equation in slope-intercept form for
the line that contains point (3, 5) and is parallel to
y
15. Write an equation in slope-intercept form of
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
Prove: a b
4  5
(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
ta
Prove: t  b
Statements
2
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.______________________________________________