Dilation refers to a non rigid motion where a figure is transform and its image has the same form but a different size measure.
Dilation is define by the rule (x,y)-- (kx, ky) where k represents the scale factor.
On this exercise is given that a triangle with vertices (-2,1), (8,4), and (3,0) was dilated by a scale factor of four, and it is asked to find the vertices of the image of the triangle after the dilation occurred.
Pre-image Image
(-2,1) -- (-2*4,1*4) -- (-8,4)
(8,4) -- (8*4,4*4) -- (32,16)
(3,0) -- (3*4,0*4) -- (12,0)
The coordinates representing the vertices of the triangle's image are (-8,4), (32,16), and (12,0); meaning that the ordered pair which is not a coordinate for a point in the triangle's image is (2,1).
True because 7+3 is 10 and 10<12
Simplifying
-4v + 2v = -12
Combine like terms: -4v + 2v = -2v
-2v = -12
Solving
-2v = -12
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Divide each side by '-2'.
v = 6
Simplifying
v = 6
