Question

Triangle ABC has a vertices point A(-2,-2), point B(-4,-3), and point C after a dilation with a scale factor of 3 and a scale factor of 3 and a center point of dilation at the origin.

Answer 1

To find the coordinates of the vertices of the dilated triangle, we need to multiply the coordinates of each original vertex by the scale factor. Since the center of dilation is at the origin (0,0), the coordinates of the dilated vertices are:

Vertex A:
x-coordinate: -2 * 3 = -6
y-coordinate: -2 * 3 = -6
Dilated coordinates: A(-6, -6)

Vertex B:
x-coordinate: -4 * 3 = -12
y-coordinate: -3 * 3 = -9
Dilated coordinates: B(-12, -9)

Vertex C:
Since the center of dilation is the origin, point C remains the same.
Dilated coordinates: C(-2, -2)

Therefore, the vertices of the dilated triangle ABC with a scale factor of 3 and a center point of dilation at the origin are A'(-6, -6), B'(-12, -9), and C'(-2, -2).