Turning a figure about a point (center of rotation) for a certain number of degrees ( ∠ of rotation)

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Presentation transcript:

Turning a figure about a point (center of rotation) for a certain number of degrees ( ∠ of rotation)

counter-clockwise

y-x -x-y -yx

5 min

clockwise

y-x -x-y -yx

Using a scale factor to make a figure larger or smaller (needs to maintain the same shape!) greater 01

ENLARGEMENT 2x2y

(4/2, 3/2)  (2, 1.5) (7/2, -1/2)  (3.5, -.5) (2/2, -2/2)  (1, -1) A’ B’ C’ REDUCTION

(2, 6) (3.5, -2) (1, -4) A’ B’ C’ NEITHER. NOT A DILATION

5 min

Look at how a point changes 3*s = 2and6*s = 4 s = 2/3ands = 4/6 M’ (8, -2) A’ (18, -4) T’ (6, 12) H’ (0, 0) s = 2 (x, y)  (2x, 2y) 2/3

Rotations and Dilations Practice Shark Story

 1 st Graph: › Original Shark › Translated Shark › Reflected Shark  2 nd Graph: › Shark Lenny › His hat and rotated hat  3 rd Graph: › Original Shark › His hat and rotated hat  Label your points › Original: A, B, C, … › Translated: A’, B’, C’,… › Reflected: A’’, B’’, C’’, … › Shark Lenny you may say A, B, C…(since on separate graph) › Rotated Hats: Z’, Y’, X’…