Download Review for Chapter 3 Test

L3 Geometry
Name ___________________________________
Review for Chapter 3 Test
Date _________________________
1.
Identifying Angles
c
3 4
7 8
1 2
5 6
9 10
13 14
a.
11 12
15 16
d
a
b
Name all pair of corresponding angles for line a and line b with transversal line c.
b.
Name all pair of alternate interior angles for line a and line b with transversal line
d.
c.
Name all pair of consecutive interior angles for line c and line d with transversal
line a.
d.
If 1  9 , which lines are parallel? By what theorem?
2.
True or False:
Alternate interior angles are congruent
3.
True or False:
If two lines are cut by a transversal such that corresponding angles
are congruent, then the lines are parallel.
4.
True or False:
Consecutive interior angles are supplementary.
5.
Use the following diagram to answer the questions.
2
a||b, c||d
a
1
5
b
c
6.
d
a.
Find m1 if m1  3x  10 and m5  x  70 .
b.
Explain how you knew what equation to set up. Use appropriate vocabulary.
c.
Find m1 if m1  8x  80 and m2  2x  116 .
d.
Explain how you knew what equation to set up. Use appropriate vocabulary.
__ __ __ __
Use the following diagram to find the angle measures below. AB||DE, BD||CE
EB  AC ,
mBDE  38 .
A
B
D
a. mDBE
E
C
F
b. mACE
c. mABE
d. mABD
7.
Use the following diagram and the fact that line a is not parallel to line b to complete the
statement.
t
(3x – 15)
(5x – 57)
a
b
x CANNOT equal ____________________.
By what theorem_________________________________________________.
8.
If two lines do not intersect and are not in the same plane, then they are _____________ .
9.
In the diagram, find the value of x such that p q . State the theorem you used.
t
84
p
10.
6x
q
In the diagram, what are the values of x and y. State the theorem(s) you used.
(3x – 8)
x
2y  17
Write whether each statement is true or false. If false, replace the underlined word or number to
make a true statement.
r
11.
4 and 5 are corresponding angles.
1 2
3 4
6 5
7 8
t
p
12.
Given r t , then consecutive interior angles 4 and 6 are supplementary.
13.
Line p is a transversal since it intersects one or more lines in a plane at different points.
14.
Interior angles are located between the lines cut by a transversal.
15.
In the figure, l n and r is a transversal. Which of the following is NOT true?
16.
a.
8  2
b.
7  4
c.
2  6
d.
5  3
In the figure, 6 and 3 are
a.
consecutive interior angles
b.
alternate interior angles
c.
alternate exterior angles
d.
corresponding angles
l
n
1 2
3 4
5 6
7 8
r
17.
Determine whether AB and RS are parallel, perpendicular, or neither.
A(0, 3)
18.
B(2, 4)
R(2, 1)
S(8, 4)
Graph the line that satisfies each condition.
a.
slope = 3, contains A(0, 1)
b
contains Y(3, 0), parallel to DJ with D(-3, 1) and J(3, 3)
c.
contains T(0, -2), perpendicular to CX with C(0, 3) and X(2, -1)
19.
Write an equation in slope-intercept form of the line using the given information.
a.
m = -4, y-intercept: 3
b.
m = 2, passing through (5, 2)
c.
m=
d.
contains (-1, 4) and (2, -2)
1
, passing through (-3, -8)
3
Use the figure below to answer questions #20-24
B
C
A
F
D
G
E
H
20.
Identify all lines parallel to EH
21.
Identify all lines skew to AD
22.
Identify all lines intersecting AB
23.
Identify all planes intersecting plane DCG
24.
Identify all planes parallel to plane EFG
COORDINATE GEOMETRY Find the distance from P to l.
25. Line l contains points (−2, 0) and (4, 8). Point P has coordinates (5, 1).
26. Line l contains points (3, 5) and (7, 9). Point P has coordinates (2, 10).
27. Graph the line y = –x + 1. Construct a
perpendicular segment through the
point at (–2, –3). Then find the
distance from the point to the line.