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, 1.5)
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
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)

4. 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