Question

write the coordinates of the vertices after a dilation with a scale factor of 5, centered at the origin.
graph of a coordinate plane with points d, e, f; input boxes for d, e, f coordinates

Explanation:

Step1: Find original coordinates

From the graph, \( D(-2, -1) \), \( E(-2, 2) \), \( F(2, -1) \).

Step2: Apply dilation (scale factor 5, origin)

Dilation rule: \( (x,y) \to (5x, 5y) \).
For \( D \): \( (-2\times5, -1\times5) = (-10, -5) \).
For \( E \): \( (-2\times5, 2\times5) = (-10, 10) \).
For \( F \): \( (2\times5, -1\times5) = (10, -5) \).

Answer:

\( D'(-10, -5) \), \( E'(-10, 10) \), \( F'(10, -5) \)