Question

Triangle ABC has vertices point A(−2,−2) , 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 3

and a center point of dilation at the origin.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the coordinates of each point after the dilation, we need to multiply each coordinate by the scale factor.

For point A(-2, -2), the new x-coordinate is -2 * 3 = -6 and the new y-coordinate is -2 * 3 = -6. So the new coordinates of point A after dilation are A'(-6, -6).

For point B(-4, -3), the new x-coordinate is -4 * 3 = -12 and the new y-coordinate is -3 * 3 = -9. So the new coordinates of point B after dilation are B'(-12, -9).

For point C(-2, -5), the new x-coordinate is -2 * 3 = -6 and the new y-coordinate is -5 * 3 = -15. So the new coordinates of point C after dilation are C'(-6, -15).

Therefore, the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin are A'(-6, -6), B'(-12, -9), and C'(-6, -15).