Similar Figures Investigation 2

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Presentation transcript:

Similar Figures Investigation 2 Computer games have several animated characters!

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, 1.5) If the rule is the same for both the X and Y coordinate, the shape will be similar!

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

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