1. Similar Figures Investigation 2 Computer games have several animated characters!

2. 2.1 Drawing Wumps Making Similar Figures Algebraic rules can be used to produce similar figures (x, y) RULES (2x, 2y)(3x, y)(x, 1.5y) (0, 1) (2·0, 2·1)(3·0,1)(0, 1.5·1) (0, 2)(0, 1)(0, 1.5) If the rule is the same for both the X and Y coordinate, the shape will be similar!

3. 2.2 Hats Off to the Wumps Changing a Figure’s Size and Location CHANGE(X, Y)RULE Relocate+ or – a # from the coordinates(x + 2, y + 3) ShrinkCoordinates are X by a # < 1(0.5x, 0.5y) StretchCoordinates are X by a # > 1(3x, 3y) Various algebraic rules can be used to change a figure’s size and location on a coordinate grid.

4. 2.3 Mouthing Off and Nosing Around Scale Factor The rectangles below are similar. Scale Factor The # used to X the lengths of a figure to stretch or shrink it to a similar image. SF = Image Original 1 2 4 2 A Perimeter = 6 Area = 2 A B B Perimeter = 12 Area = 8 Scale Factor From A to B: 2 = 2 1 From B to A: 1 = 1 2 2 These are reciprocals!