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Answers to Homework 2) -7, 8/3 6) (4,6)(12,10)(8,-2) NO (4,4)
2) -7, 8/3 6) (4,6)(12,10)(8,-2) NO (4,4) 8) (0,-4)(-4,-6)(-2,0) YES (-12,-6) 10) (0,-2)(-2,-3)(-1,0) NO (-24,-12)
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14-2 Reflections
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Reflection: keeps size and shape, it’s on ISOMETRY
Reflection: keeps size and shape, it’s on ISOMETRY!!! (You don’t need to draw this) l k Rk = reflect over line k Rl = reflect over line l
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Example Original: (3,4) Rx-axis Ry-axis Ry = x (3,-4) (-3,4) (4,3)
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TOO Graph each original Find and graph the reflection across:
x-axis y-axis y = x 1) (-2,-3) 2) (4,1) Answers: 1) (-2,3) (2,-3) (-3,-2) 2) (4,-1) (-4,1) (1,4)
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Rules Look at the answers that you got for the example and the 2 TOO.
Write mappings for reflecting across: x-axis (x stays the same!) y-axis (y stays the same!) y = x (they flip flop, signs STAY) (x,y) → (x,-y) (x,y) → (-x,y) (x,y) → (y,x)
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Homework Page 580 #1-14
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