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Chapter 3 Review. Textbook page 160-163 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.
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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 M K N
8. KN and JN are_______. (parallel, perpendicular or skew) • perpendicular G H J F L M K N
9. FK and HJ are_______. (parallel, perpendicular or skew) • skew G H J F L M K N
10. JN and MN are _______. (parallel, perpendicular or skew) • perpendicular G H J F L M K N
11. m <11 = 90o yes, by Vertical Angles Theorem Determine whether there is enough information to conclude that the statement is true. Explain. 9 8 10 11
12. m < 9 + m < 10 = 90o 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. 9 8 10 11
13. h j yes, if two lines intersect to form adjacent congruent angles, then the lines are perpendicular Determine whether there is enough information to conclude that the statement is true. Explain. h 12 13 j
14. m < 9 = m < 10 No Determine whether there is enough information to conclude that the statement is true. Explain. 9 8 10 11
15. < 8 and < 12 are ____. corresponding Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15
16. < 9 and < 14 are ____. alternate exterior Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15
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. 8 10 12 14 11 9 13 15
18. < 11 and < 12 are ____. alternate interior Complete the statement using corresponding angles, alternate interior angles, alternate exterior angles and same-side interior angles. 8 10 12 14 11 9 13 15
19. find m < 9 99o Find the measure of the numbered angles. 9 99o
20. find m < 10 63o Find the measure of the numbered angles. 63o 10
21. find m < 11 71o Find the measure of the numbered angles. 109o 11
122 22. Find the value of x so that r ll s 122o xo r s
20 23. Find the value of x so that r ll s 4xo 80o r s
140 24. Find the value of x so that r ll s r s (x-15)o 55o
Using the given information, state the postulate or theorem that allows you to conclude that p ll q s 25. pllr, rllq 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 p ll q 26. ps, sq r s 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 p ll q r 27. < 1 = < 2 p 2 q 1 Corresponding Angles Converse.
Test Friday Assignment # 11 Page 161 problems 1-27