Question

Describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0)

Answer 1

The dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0) means that each point of the original triangle is multiplied by a factor of 5 and moved towards or away from the origin. In this case, the new coordinates of each point will be five times the original coordinates.

For example, if point A has original coordinates (2,3), after the dilation, its new coordinates would be (2*5, 3*5) = (10, 15). Similarly, if point B has original coordinates (-1,5), after the dilation, its new coordinates would be (-1*5, 5*5) = (-5, 25). And if point C has original coordinates (4,-2), after the dilation, its new coordinates would be (4*5, -2*5) = (20, -10).

By connecting these new points, we can visualize the dilated triangle ABC with a scale factor of 5 and a center point of 0,0.