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 center point of dilation at the origin
To find the coordinates of triangle ABC after a dilation with a scale factor of three, we need to multiply the x and y coordinates of each vertex by the scale factor.
Vertex A(-2, -2):
After dilation with a scale factor of three, the new x-coordinate will be -2 * 3 = -6
The new y-coordinate will be -2 * 3 = -6
Therefore, the new coordinates for vertex A are (-6, -6).
Vertex B(-4, -3):
After dilation with a scale factor of three, the new x-coordinate will be -4 * 3 = -12
The new y-coordinate will be -3 * 3 = -9
Therefore, the new coordinates for vertex B are (-12, -9).
Vertex C(-2, -5):
After dilation with a scale factor of three, the new x-coordinate will be -2 * 3 = -6
The new y-coordinate will be -5 * 3 = -15
Therefore, the new coordinates for vertex C are (-6, -15).
The new coordinates of triangle ABC after the dilation are:
A(-6, -6), B(-12, -9), C(-6, -15).