describe the dilation of triangle ABC, with a scale factor of 5 and a center point of dilation at the origin

Answer 1

To describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin, we would need the coordinates of the vertices of triangle ABC.

Let's say the coordinates of vertex A are (x1, y1), the coordinates of vertex B are (x2, y2), and the coordinates of vertex C are (x3, y3).

The coordinates of the dilated triangle, ABC', would be:
Vertex A': (5x1, 5y1)
Vertex B': (5x2, 5y2)
Vertex C': (5x3, 5y3)

These coordinates represent the new positions of the vertices after the dilation. The triangle would become larger and stretched away from the origin, as the scale factor of 5 multiplies the distance between each vertex and the origin by 5.