Question

Describe the dilation of triangle ABC with a scale factor of five in a centerpoint of dilation at the origin (0,0)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To perform a dilation with a scale factor of five on triangle ABC centered at the origin (0,0), we need to multiply the coordinates of each vertex of the triangle by the scale factor.

Let's say the coordinates of triangle ABC are:
A = (x₁, y₁)
B = (x₂, y₂)
C = (x₃, y₃)

To find the new coordinates of the dilated triangle ABC, we can multiply each coordinate pair by 5:
A' = (5x₁, 5y₁)
B' = (5x₂, 5y₂)
C' = (5x₃, 5y₃)

So, the new coordinates of the dilated triangle ABC with a scale factor of five and center of dilation at the origin (0,0) would be:
A' = (5x₁, 5y₁)
B' = (5x₂, 5y₂)
C' = (5x₃, 5y₃)