1. VOCABULARY Name the preimage and image of the transformation AABCAA'B'C'. 2. COMPLETE THE SENTENCE A same direction. moves every point of a figure the same distance in the Monitoring Progress and Modeling with Mathematics In Exercises 3 and 4, name the vector and write its component form. (See Example 1.) 3. C 12. M Ay -7 M 3 1 3 x N L' N N 5. D 4. S In Exercises 5-8, the vertices of ADEF are D(2, 5), E(6, 3), and F(4, 0). Translate ADEF using the given vector. Graph ADEF and its image. (See Example 2.) 5. (6,0) 6. (5,-1) In Exercises 13-16, use the translation. (x, y)(x 8, y + 4) 13. What is the image of A(2, 6)? 14. What is the image of B(-1, 5)? 15. What is the preimage of C'(-3, -10)? 16. What is the preimage of D'(4,-3)? In Exercises 17-20, graph APQR with vertices P(-2, 3), Q(1, 2), and R(3, -1) and its image after the translation. (See Example 4.) 17. (x, y)(x + 4, y + 6) 7. (-3,-7) 8. (-2,-4) 18. (x, y)(x+9, y - 2) In Exercises 9 and 10, find the component form of the vector that translates P(-3, 6) to P'. 19. (x, y)(x 2, y - 5) 10. P'(-4, 8) 9. P'(0, 1) In Exercises 11 and 12, write a rule for the translation of ALMN to AL'M'N'. (See Example 3.) 11. M y L' -4 -2 N' M N 6 x 20. (x, y)(x - 1, y + 3) In Exercises 21 and 22, graph AXYZ with vertices X(2, 4), Y(6, 0), and Z(7, 2) and its image after the composition. (See Example 5.) 21. Translation: (x, y)(x+12, y + 4) Translation: (x, y)(x-5, y-9) 22. Translation: (x, y)(x-6, y) Translation: (x, y)(x+2, y +7)