Chapter 3 Review Textbook page problems 1-27

Answers to Assignment # 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 KN M J HG

8. KN and JN are_______. (parallel, perpendicular or skew) perpendicular F L KN M J HG

9. FK and HJ are_______. (parallel, perpendicular or skew) skew F L KN M J HG

10. JN and MN are _______. (parallel, perpendicular or skew) perpendicular F L KN M J HG

Determine whether there is enough information to conclude that the statement is true. Explain. 11. m <11 = 90 o yes, by Vertical Angles Theorem

Determine whether there is enough information to conclude that the statement is true. Explain. 12. m < 9 + m < 10 = 90 o yes, if two sides of adjacent acute angles are perpendicular, then the angles are complementary

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 j

Determine whether there is enough information to conclude that the statement is true. Explain. 14. m < 9 = m < 10 No

Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 15. < 8 and < 12 are ____. corresponding

Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 16. < 9 and < 14 are ____. alternate exterior

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

Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 18. < 11 and < 12 are ____. alternate interior

Find the measure of the numbered angles. 19. find m < 9 99 o 9

Find the measure of the numbered angles. 20. find m < o o

Find the measure of the numbered angles. 21. find m < o o

22. Find the value of x so that r ll s o xoxo rs

23. Find the value of x so that r ll s o 4x o s r

24. Find the value of x so that r ll s 140 (x-15) o 55 o rs

Using the given information, state the postulate or theorem that allows you to conclude that p ll q q p s 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 p sr 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 p r < 1 = < 2 Corresponding Angles Converse. 2

Test Friday Assignment # 11 Page 161 problems 1-27