The table shows the ordered pairs that represent the vertices of triangle one and its image triangle to after a dilation with the origin as the center of dilation
Triangle one Triangle two
X. Y. X. Y
2 -2 10 -10
3 -6 15. -30
5 -4 25. -20
To find the image of Triangle one after a dilation with the origin as the center of dilation, we need to multiply each coordinate of the vertices of Triangle one by the scale factor.
In this case, we can see that the scale factor is 5, because the new coordinates are 5 times the original coordinates.
Therefore, the vertices of Triangle two would be:
(2*5, -2*5) = (10, -10)
(3*5, -6*5) = (15, -30)
(5*5, -4*5) = (25, -20)
So, the ordered pairs representing the vertices of Triangle two after a dilation with the origin as the center of dilation are:
(10, -10), (15, -30), and (25, -20)