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