Chapter Test AN5 10. x-axis 11. x-axis, y-axis, origin 12. y-axis 13. Origin 14. No symmetry 26. ( ) ( ) + + − = x y 2 3 16 2 2 27. ( ) ( ) + + + = x y 1 2 1 2 2 28. Center ( ) − = 1, 2 ; radius 3 y x 5 5 (1, 22) ( ) ( ) − ± ± 0; 2 22,1 5,0 29. Center ( ) − = 1, 2 ; radius 5 y x 5 5 (1, 22) ( ) ( ) ( ) − 0,0, 0, 4, 2,0 20. = − x 3; no slope-intercept form 21. + = x y 5 2 10 or = − + y x 5 2 5 y x 5 4 (4, 25) 22. + = − x y5 10 or = − − y x 1 5 2 y x 6 5 (5, 23) 23. + = x y 5 11 or = − + y x5 11 y x 5 5 (3, 24) (2, 1) 24. − = − x y 2 3 19 or = + y x 2 3 19 3 y x 2 8 (25, 3) 25. + = x y3 10 or = − + y x 1 3 10 3 y x 5 5 (22, 4) 30. (a) ( ) ( ) ( ) = = = d A B d B C d A C , 2 5; , 145; , 5 5; Since ( ) ( ) ( ) + = d A B d A C d B C , , , 2 2 2, by the converse of the Pythagorean Theorem, the points A, B, and C are vertices of a right triangle. (b) Slope of = − AB 2; Slope of = BC 1 12 ; Slope of = AC 1 2 ; Since ( ) ( ) − = − 2 1 2 1, the lines AB and AC are perpendicular and hence form a right angle. 31. = − = − m m 1; 1 AB BC 32. Let ( ) = − D 1, 2 . Then ( ) ( ) ( ) = = = d A D d B D d C D , , , 13. A, B, and C lie on the circle ( ) ( ) + + − = x y 1 2 13 2 2 which has radius 13. 33. Center ( ) − 1, 2 ; radius =4 2; + − + − = x y x y 2 4 27 0 2 2 34. −4 and 8 35. y x 5 5 (4, 4) (1, 2) 7. y 5 x 5 (0, –2) (3, 0) 8. y 10 x 10 (0, 29) (3, 0) (23, 0) 9. y 10 x 10 (24, 0) (4, 0) (0, 8) 6. 20 25 25 5 ; 3.87, 3.87 − 3. (a) 12 (b) ( ) 4, 2 (c) Undefined (d) No change in x 4. (a) 5 (b) ( ) − 1 2 , 1 (c) 0 (d) No change in y 5. ( ) −4, 0 , ( ) 0, 2 , ( ) 0, 0 , ( ) − 0, 2, ( ) 2, 0 16. { } −2.49, 0.66, 1.83 17. { } −1.14, 1.64 18. + = x y 2 5 or = − + y x2 5 19. = y 4 15. y x 10 5 (21, 21) (1, 1) (0, 0) y 5 x3 y 5 x (3, 21) 10 y x 3 5 (25, 4) y x 5 5 (23, 4) Chapter Test (page 58) 1. (a) 10 (b) ( ) 1, 1 2. y 210 x (10.5, 0) (27, 25) (0, 23) (7, 21) 8 3. y 5 5 x (0, 25) (21, 24) (22, 21) (22.24, 0) (2.24, 0) (1, 24) (2, 21) 4. { } −1, 0.5, 1 5. { } −2.50, 2.50 6. { } − − 2.46, 0.24, 1.70
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