describe the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the orgin (0,0)
The dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0) will result in a new triangle that is five times larger than the original triangle.
To perform the dilation, each vertex of the triangle (A, B, and C) is moved away from the origin by a distance that is proportional to their original distance from the origin. The new coordinates of the vertices can be found by multiplying the original coordinates by the scale factor of 5.
For example, if vertex A has the original coordinates (x1, y1), then the new coordinates of A would be (5x1, 5y1). Similarly, the new coordinates for vertices B and C would be (5x2, 5y2) and (5x3, 5y3), respectively.
The resulting triangle will have the same shape as the original triangle, but it will be five times larger in size. The angles of the triangle will remain the same, but the side lengths will be multiplied by the scale factor of 5. The new triangle will also be positioned in a way such that the origin is the center point of dilation, with the vertices moving away from the origin.