Transcript Chapter 3 Review

Chapter 3 Review
Textbook page 160-163
problems 1-27
1. Two lines are ____ if they lie in the
same plane and do not intersect.
parallel
2. A(n) ___ is a line that intersects two
or more coplanar lines at different points.
transversal
3. Two lines are ___ if they intersect to
form a right angle.
perpendicular
4. Two angles are ____ if they lie outside two
lines on opposite sides of the transversal.
alternate exterior
6. Two planes that do not intersect are
called _______.
parallel
7. FJ and GH appear to be_______. (parallel,
perpendicular or skew)
parallel
G
H
J
F
L
K
M
N
8. KN and JN are_______. (parallel,
perpendicular or skew)
perpendicular
G
H
J
F
L
K
M
N
9. FK and HJ are_______. (parallel,
perpendicular or skew)
skew
G
H
J
F
L
K
M
N
10. JN and MN are _______. (parallel,
perpendicular or skew)
perpendicular
G
H
J
F
L
K
M
N
Determine whether there is enough information to
conclude that the statement is true. Explain.
11. m <11 = 90o
8
yes, by Vertical Angles
Theorem
9
10
11
Determine whether there is enough information to
conclude that the statement is true. Explain.
12. m < 9 + m < 10 = 90o
yes, if two sides
of adjacent
acute angles are
perpendicular,
then the angles
are
complementary.
8
9
10
11
Determine whether there is enough information to
conclude that the statement is true. Explain.
13. h
j
yes, if two lines
intersect to form
adjacent congruent
angles, then the lines
are perpendicular
h
12
13
j
Determine whether there is enough information to
conclude that the statement is true. Explain.
14. m < 9 = m < 10
No
8
9
10
11
Complete the statement using corresponding angles,
alternate interior angles, alternate exterior angles
and same-side interior angles.
corresponding
8
10
9
11
15. < 8 and < 12 are ____.
12
14
13
15
Complete the statement using corresponding angles,
alternate interior angles, alternate exterior angles
and same-side interior angles.
16. < 9 and < 14 are ____.
alternate
exterior
8
10
9
11
12
14
13
15
Complete the statement using corresponding angles,
alternate interior angles, alternate exterior angles
and same-side interior angles.
17. < 10 and < 12 are ____.
same-side
interior
8
10
9
11
12
14
13
15
Complete the statement using corresponding angles,
alternate interior angles, alternate exterior angles
and same-side interior angles.
alternate interior
8
10
9
11
18. < 11 and < 12 are ____.
12
14
13
15
Find the measure of the numbered angles.
19. find m < 9
99o
9
99o
Find the measure of the numbered angles.
63o
20. find m < 10
63o
10
Find the measure of the numbered angles.
21. find m < 11
71o
109o
11
22. Find the value of x so that
r ll s
122
122o
r
xo
s
23. Find the value of x so that
r ll s
20
4xo
80o
s
r
24. Find the value of x so that
140
r
r ll s
s
(x-15)o
55o
Using the given information, state the postulate or
theorem that allows you to conclude that
s
25.
p ll q
p ll r, r ll q
p
q
r
if two lines are parallel to the
same line, then they are
parallel to each other.
Using the given information, state the postulate or
theorem that allows you to conclude that
r
s
26.
p
p ll q
s, s q
p
q
if two lines are perpendicular
to the same line, then they are
parallel to each other.
Using the given information, state the postulate or
theorem that allows you to conclude that
r
27.
p ll q
<1=<2
p
2
1
Corresponding Angles
Converse.
q
Test Friday
Assignment # 11
Page 161 problems 1-27