Question

Describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin of 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 will be multiplied by 5 to obtain the coordinates of the new vertices.

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

To find the new vertices of the dilated triangle, we multiply each coordinate by 5:

A'(5x1, 5y1)
B'(5x2, 5y2)
C'(5x3, 5y3)

This means that each side of the original triangle will be extended by a factor of 5 in the dilated triangle.

So, the dilated triangle ABC' has the following vertices:
A'(5x1, 5y1)
B'(5x2, 5y2)
C'(5x3, 5y3)