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Geometry Diff Chapter 9 Review Name: ___________________________ 1. Find the coordinates of the image of M (4, -3) reflected about the x-axis. 2. Find the coordinates of the image of N (-5, 4) reflected about the y-axis. 3. Find the coordinates of the image of P (-2, 5) reflected about the line y = 2. 4. Find the coordinates of the image of Q (4, -2) reflected about the line x = 3. 5. Find the coordinates of the image of R (6, -3) reflected about the line y = x. 6. Find the image of WX with W (7, 1) and X (-4, 5) along the translation vector −4, −3 . 7. Find the preimage of Z ' (-3, 7) along the translation ( x, y) → ( x − 2, y + 4) . 8. Determine whether ΔA"B"C" is a translation image of ΔABC in the diagram at the right. Explain your answer. 9. Explain the measurement of AA!! in the diagram at the right. 10. Find the image of AB with A (-3, 1) and B (-1, 5) under a rotation of 270o about the origin. 11. ΔABC has vertices A (-4, -4), B (-1, -2), C (3, -1) is rotated 180o about the origin. What are the coordinates of ΔA"B"C" ? 12. Find the coordinates of L" if L (3, 1) is rotated 90o about the origin and then reflected in the x-axis. 13. What is the relationship between figure BCGHIJ and figure B"C"G"H"I"J" in the diagram at the right? 14. Find m∠BAB"" in the diagram at the right. 15. Using the regular decagon at the right with all the central angle equal 36o, find the image of point K if rotated 108o clockwise about point P. 16. Using the regular decagon at the right with all the central angle equal 36o, find the image of point K if rotated 144o clockwise about point A. 17. Name three special types of quadrilaterals that have both rotational and line symmetry. 18. If AB = 10 and A'B' = 5, is the dilation an enlargement, reduction or an isometry? 19. If ST = 12, find the length of the image of ST under a dilation with a scale factor of ¾. 20. Find the scale factor of a dilation with center C that maps R onto N with CR = 18 and CN = 24.