Question

Triangle ABC has vertices point A(2,1) , point B(4,3) , and point C(−2,5) . Find the coordinates of A′ , B′ , and C′ after a dilation with a scale factor of 7 and a center point of dilation at the origin (0,0) .(2 points)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates of the new points after a dilation with a scale factor of 7 and a center point at the origin, you multiply each coordinate of the original points by the scale factor.

Coordinates of A': (2 * 7, 1 * 7) = (14, 7)
Coordinates of B': (4 * 7, 3 * 7) = (28, 21)
Coordinates of C': (-2 * 7, 5 * 7) = (-14, 35)

So, the coordinates of A', B', and C' are (14, 7), (28, 21), and (-14, 35) respectively.