Triangle ABC has vertices point A(-2, -2) point B(-4, -3) , point C(-2, -5). Find the coordinates of an ABC after a dilation with a scale factor of three in a centerpoint of dilation at the origin.
To find the coordinates of the triangle ABC after a dilation with a scale factor of three, we need to multiply the coordinates of each vertex by the scale factor.
Let's find the new coordinates for point A:
x-coordinate of A after dilation = -2 * 3 = -6
y-coordinate of A after dilation = -2 * 3 = -6
So, the new coordinates for point A are (-6, -6).
Next, let's find the new coordinates for point B:
x-coordinate of B after dilation = -4 * 3 = -12
y-coordinate of B after dilation = -3 * 3 = -9
So, the new coordinates for point B are (-12, -9).
Finally, let's find the new coordinates for point C:
x-coordinate of C after dilation = -2 * 3 = -6
y-coordinate of C after dilation = -5 * 3 = -15
So, the new coordinates for point C are (-6, -15).
Therefore, after a dilation with a scale factor of three in a centerpoint of dilation at the origin, the new coordinates of triangle ABC are A'(-6, -6), B'(-12, -9), and C'(-6, -15).