We are given : A scale factor of 1/2 and center of dilation (0, 0).
For the given image, the coordinates of the vertices of the triangle are
(0,-6), (0,0) and (8,0).
We can apply formula for finding new coordinates:
Scale factor * [Vertex coordinates of the given image - Coordinate of Center of dilation] +Coordinate of Center of dilation.
Applying same formula to each coordinates we are given.
(0,-6) --> 1/2 [ (0,-6) - (0,0) ] + (0,0) ] = 1/2 [ (0,-6)] +(0,0) = (0,-3).
(0,0) --> 1/2 [ (0,0) - (0,0) ] + (0,0) ] = 1/2 [ (0,0] +(0,0) = (0,0).
(8,0) --> 1/2 [ (8,0) - (0,0) ] + (0,0) ] = 1/2 [ (8,0)] +(0,0) = (4,0).
Now, we can plot those resulting coordinates on the graph and form a triangle
.
