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Name: __________________________ Period: _____ Review Geometry PAP Chapter 3 Part 1 - Do On Separate Sheet! Complete the statement using the figure at the right. 1. 1 and _______ are corresponding angles. 2. 3 and ________ are alternate interior angles 3. 4 and ________ are consecutive interior angles. 4. 7 and ________ are alternate exterior angles. 5. List a 3 pairs of pair of vertical angles; ____________, ______________, and _________________. 6. List 2 sets of a linear pair; _______________________ and ______________________. Think of each segment in the diagram of a rectangular box as a part of a line. Which line(s) or plane(s) contain point N and appear to fit the description? 7. Line(s) perpendicular to QR . 8. Line(s) parallel to QR . 9. Line(s) skew to QR . 10. Plane(s) parallel to plane LMQ . Use the diagram at the right to complete the statements. 11. If 1 7 , then ________ is parallel to _________. 12. If 3 5 , then ________ is parallel to _________. 4 5 6 8 7 13. If 3 is supplementary to 6 , then ______ is parallel to _______. 14. If b c , then 4 _________. 1 3 2 a c b 15. If b c , then 2 _________. 16. If b c , then 4 is supplementary to _________. Use the following diagram for 15-18. allb , gllh . g 17. If m1 x 2 2 x and m12 5x 18 ,find m15. 18. If m13 x 7 x and m12 100 4 x ,find m3. 2 a 1 2 3 4 h 16 15 13 14 19. If m8 5 x 2 4 and m14 16 11x ,find m4. 20. If m4 4 x 24 and m11 8x 48 ,find m8. Find the distance between 2 points, make sure to simplify the radical. 21. A(2, 4) and B 1, 2 22. C(5, 3) and D 9, 5 23. E 0, 5 and F 4, 2 b 5 6 7 8 12 11 9 10 Name: __________________________ Find the midpoint of the following points, list the midpoint with the letter M. Period: _____ 24. A(2, 4) and B 1, 2 25. C(5, 3) and D 9, 5 26. E 0, 5 and F 4, 2 Solve the following systems, show all work and record answer as an ordered pair. 7 p 5q 2 8 p 9q 17 3b 2a 2 2b a 8 27. 28. Write the converse, inverse, and contrapositive of the following conditional statement. Make sure to label which is each statement. 29. If I copy the homework, then I will fail the class. ___________: ______________________________________________________________________________________ ___________: ______________________________________________________________________________________ ___________: ______________________________________________________________________________________ Use the law of Detachment to write a conclusion. 30. If the measure of two angles have a sum of 90 , then the angles are complementary. mA mB 90 ______________________________________________________________________________________ 31. If the football team wins on Friday night, then practice is canceled for Monday. The football team won by 7 points on Friday night. ______________________________________________________________________________________ Use the law of Syllogism to make a conclusion. 32. If you like the movie, then you saw a good movie. If you saw a good movie, then you enjoyed yourself. ______________________________________________________________________________________ 33. If two lines are not parallel, then they intersect. If two lines intersect, then they intersect at a point. ______________________________________________________________________________________ Complete the following proofs: 35. Given: l || m; 3 4 Prove: 2 4 34. Given: m3 = 105°, m7 = 105° Prove:l || n 5 steps l l 7 1 2 n 3 m 3 4 7 steps