a triangle on a coordinate plane was dilated after being dilated its area is 6.25

Question

times as great as the original figure what was the scale factor

Answer 1

To find the scale factor of a dilation, you need to compare the side lengths or the area of the dilated figure to the original figure.

Let's assume the original triangle has coordinates A(x1, y1), B(x2, y2), and C(x3, y3) on the coordinate plane.

If the area of the dilated triangle is 6.25 times as great as the original figure's area, then the scale factor is the square root of 6.25, which is 2.5.

Therefore, the triangle was dilated by a scale factor of 2.5.