describe the dilation of triangle ABC with a scale factor of five and a centerpoint of dilation at the origins zero, zero
To describe the dilation of triangle ABC with a scale factor of five and a center point of dilation at the origin (0, 0), we need to determine the new coordinates of each vertex after the dilation.
Let's say the original coordinates of triangle ABC are given as follows:
A = (x₁, y₁)
B = (x₂, y₂)
C = (x₃, y₃)
To perform the dilation, we multiply each coordinate by the scale factor of five and the origin point of (0, 0) remains the same. Therefore, the new coordinates of the dilated triangle, denoted as A', B', and C', will be:
A' = (5 * x₁, 5 * y₁)
B' = (5 * x₂, 5 * y₂)
C' = (5 * x₃, 5 * y₃)
These new coordinates represent the vertices of the dilated triangle ABC with a scale factor of five and the origin as the center of dilation.