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Chapter 3 Review Textbook page 160-163 problems 1-27.

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Presentation on theme: "Chapter 3 Review Textbook page 160-163 problems 1-27."— Presentation transcript:

1 Chapter 3 Review Textbook page 160-163 problems 1-27

2 Answers to Assignment # 10

3 1. Two lines are ____ if they lie in the same plane and do not intersect. parallel

4 2. A(n) ___ is a line that intersects two or more coplanar lines at different points. transversal

5 3. Two lines are ___ if they intersect to form a right angle. perpendicular

6 4. Two angles are ____ if they lie outside two lines on opposite sides of the transversal. alternate exterior

7 6. Two planes that do not intersect are called _______. parallel

8 7. FJ and GH appear to be_______. (parallel, perpendicular or skew) parallel F L KN M J HG

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

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

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

12 Determine whether there is enough information to conclude that the statement is true. Explain. 11. m <11 = 90 o yes, by Vertical Angles Theorem 8 11 10 9

13 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. 8 11 10 9

14 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

15 Determine whether there is enough information to conclude that the statement is true. Explain. 14. m < 9 = m < 10 No 8 11 10 9

16 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 91513 1412

17 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 91513 1412

18 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 91513 1412

19 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 91513 1412

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

21 Find the measure of the numbered angles. 20. find m < 10 63 o 10 63 o

22 Find the measure of the numbered angles. 21. find m < 11 71 o 11 109 o

23 22. Find the value of x so that r ll s 122 122 o xoxo rs

24 23. Find the value of x so that r ll s 20 80 o 4x o s r

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

26 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.

27 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.

28 Using the given information, state the postulate or theorem that allows you to conclude that p ll q q p r 1 27. < 1 = < 2 Corresponding Angles Converse. 2

29 Test Friday Assignment # 11 Page 161 problems 1-27


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