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12.4 1. A composition of transformations is... musical isometries written transformations two or more transformations a movie about transformations 12.4 2. A glide reflection is... a rotation + a translation a translation + a reflection two reflections a reflection + a rotation 12.4 4. A composition of two reflections across two parallel lines is equal to: a rotation a reflection a translation a dilation 12.4 5. A composition of two reflections over intersecting lines is equivalent to... a reflection a rotation a translation a dilation 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 12.4 6. ∆ABC is reflected across the x-axis and then undergoes a translation given by the vector <1, -2>. Find the coordinates of A'. B C A A'= (1, -4) A'= (-3, -4) A'= (-1, -4) A'= (-4, -4) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 12.4 7. ∆ABC is reflected over the y-axis and then undergoes a translation of (x, y)→ (x-2, y+2). Find the coordinates of A'. B C A A'= (0, 4) A'= (4, 0) A'= (-2, 4) A'= (4, 4) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 8. ∆ABC is reflected over the x-axis & then undergoes a translation of (x, y)→ (x-4, y+3). Where is A'? 12.4 A'= (5, -4) A'= (-9, 7) A'= (1, -7) A'= (1, -1) C B A 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 9. ∆ABC is rotated 180 degrees and then translated using the vector <2, 2>. Find the coordinates of A'. 12.4 B C A A'= (4,0) A'= (-2, 0) A'= (2,-2) A'= (-4,0) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 10. ∆ABC is rotated 90 degrees and then translated by the vector <-3, 1>. Find the coordinates of A'. A'= (-2, 7) A'= (-1, 8) A'= (-5, 8) A'= (1, 4) B C A 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 11. ∆ABC is rotated 90 degrees and then reflected across the y-axis. Find the coordinates of A'. 12.4 B C A'= (-2, 3) A'= (3, 2) A'= (-3, 2) A'= (-2,-3) A 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 12. ∆ABC is rotated 180 degrees and then reflected over the y-axis. Find the coordinates of A'. 12.4 B C A'= (-2, 3) A'= (3, 2) A'= (-3, 2) A'= (2,-3) A 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 13. ∆ABC is rotated 90 degrees and then rotated 180 degrees. Find the coordinates of B'. 12.4 C B A B'= (0,0) B'= (0, 4) B'= (4, 0) B'= (4, 4) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 14. ∆ABC is rotated 90 degrees and then rotated 180 degrees. Find the coordinates of A'. 12.4 B C A A'= (-3,-1) A'= (3, 1) A'= (1, 3) A'= (3,-1) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 15. ∆ABC is reflected across the x-axis and then reflected over the y-axis. Find the coordinates of A'. 12.4 B C A A'= (-3,-1) A'= (3, 1) A'= (1, 3) A'= (3,-1) 2 -2 4 -4 6 -6 2 -2 4 -4 6 -6 8 -8 10 -10 16. ∆ABC is reflected across the y-axis and then reflected over the x-axis. Find the coordinates of A'. 12.4 B C A A'= (-3,-1) A'= (3, 1) A'= (1, 3) A'= (3,-1) |