Transformations in a Coordinate Plane 1-7 Transformations in a Coordinate Plane Graph transformations in the coordinate plane.

Definitions

Preimage Image We would say that Figure A was _______ onto Figure A’ through a ___________________________

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.

Ex. 7 Find the coordinates for the image of triangle ABC after the translation

Assignment

Ex. 8 Ex. 4 on pg. 52 #4 Check it out.

(3, 4)

(-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 = 1 2 + 2 2 = (-2) 2 + 1 2 = 5 = 5

Translate Reflection Reflection Rotation Translate Reflection

FED BCA

Isometry preserves length 2a = 146 a = 73 b = 53 c = 15 4d = 32 d = 8

Isometry preserves length 3q = 9 q = 3 2r – 5 = 10 2r = 15 r = 7½

Fun With Transformations #1 Escher Fun with Transformations

7.1 Pg 399 #6-44E