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