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Chapter 3 Review
Textbook page 160-163
problems 1-27
Answers
to
Assignmen
t # 10
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
F
L
K N
M
J
HG
8. KN and JN are_______. (parallel, perpendicular or skew)
perpendicular
F
L
K N
M
J
HG
9. FK and HJ are_______. (parallel, perpendicular or skew)
skew
F
L
K N
M
J
HG
10. JN and MN are _______. (parallel, perpendicular or skew)
perpendicular
F
L
K N
M
J
HG
Determine whether there is enough information to conclude that the statement is true. Explain.
11. m <11 = 90o yes, by Vertical Angles Theorem
8
11
109
Determine whether there is enough information to conclude that the statement is true. Explain.
12. m < 9 + m < 10 = 90oyes, if two sides of adjacent acute angles are perpendicular, then the angles are complementary.
8
11
109
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
12 13
h
j
Determine whether there is enough information to conclude that the statement is true. Explain.
14. m < 9 = m < 10 No
8
11
109
Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles.
15. < 8 and < 12 are ____.
corresponding
8
11
10
9 1513
1412
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
11
10
9 1513
1412
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
11
10
9 1513
1412
Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles.
18. < 11 and < 12 are ____.
alternate interior
8
11
10
9 1513
1412
Find the measure of the numbered angles.
19. find m < 999o
9 99o
Find the measure of the numbered angles.
20. find m < 1063o
10
63o
Find the measure of the numbered angles.
21. find m < 1171o
11
109o
22. Find the value of x so that r ll s
122
122o xo
r s
23. Find the value of x so that r ll s
20
80o
4xo
sr
24. Find the value of x so that r ll s
140
(x-15)o 55o
r s
Using the given information, state the postulate or
theorem that allows you to conclude that p ll q
q
ps
r
25. p ll r, r ll q
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 p ll q
q
psr 26. p s, s
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 p ll q
q
pr
1
27. < 1 = < 2
Corresponding Angles Converse.
2
Test Friday
Assignment # 11
Page 161 problems 1-27