Answers:
[tex]B(-2, 2) \to\\B \ ' \ (-3, 3)\\\\C(3,3) \to\\C \ ' \ (4.5, 4.5)\\\\D(3,0) \to\\D \ ' \ (4.5,0)\\\\A(-1,-2) \to\\A \ ' \ (-1.5, -3)\\\\[/tex]
See the diagram below
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Explanation:
If you dilate by a scale factor of k, and do so about the origin, then you use the rule [tex](x,y) \to (kx,ky)[/tex]. We multiply the scale factor k by each coordinate.
We have the following given points:
- B = (-2, 2)
- C = (3,3)
- D = (3,0)
- A = (-1,-2)
Multiply each coordinate, of each point, by 1.5 to get the corresponding image point.
For example, point B will have these steps
- x = -2 to x = 1.5*(-2) = -3
- y = 2 to y = 1.5*(2) = 3
The old point B(-2,2) moves to B'(-3,3). The same applies for the other three remaining points.
