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Transformations in a Coordinate Plane
1-7 Transformations in a Coordinate Plane Graph transformations in the coordinate plane.
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Definitions
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Preimage Image We would say that Figure A was _______ onto Figure A’ through a ___________________________
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Ex. 6 A figure has vertices at A(1,-1) B(2,3) & C(4,-2). After a transformation, the image of the figure has vertices at A’(-1,-1), B’(-2,3) and C’(-4,-2). Draw the preimage & image. Then identify the transformation.
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Ex. 7 Find the coordinates for the image of triangle ABC after the translation
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Assignment
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Ex. 8 Ex. 4 on pg. 52 #4 Check it out.
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(3, 4)
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(-3, 5) (-1, 4) (5, 3) (4, 1) d = (x 2 – x1 ) 2 + ( y2 – y1 ) 2
EF = ( 5 – 4) 2 + (3 – 1 ) 2 KL = (-3 – (-1)) 2 + (5 – 4 ) 2 = = (-2) = 5 = 5
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Translate Reflection Reflection Rotation Translate Reflection
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FED BCA
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Isometry preserves length
2a = 146 a = 73 b = 53 c = 15 4d = 32 d = 8
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Isometry preserves length
3q = 9 q = 3 2r – 5 = 10 2r = 15 r = 7½
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Fun With Transformations #1
Escher Fun with Transformations
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7.1 Pg 399 #6-44E
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