Describe the dilation Of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0)
Dilation is a transformation that enlarges or reduces the size of a figure. In this case, the dilation of triangle ABC with a scale factor of 5 and a center point of dilation at the origin (0,0) means that every point on the triangle will be moved to a new position that is five times further away from the origin.
To describe the dilation, we can find the new coordinates of each vertex of the triangle. Let's assume that the coordinates of triangle ABC are:
A(a, b)
B(c, d)
C(e, f)
To dilate triangle ABC with a scale factor of 5 and a center point at the origin (0,0), we can multiply the coordinates of each vertex by 5. The new coordinates of the vertices would be:
A'(5a, 5b)
B'(5c, 5d)
C'(5e, 5f)
Now, when we connect the new vertices A', B', and C', we get the dilated triangle ABC. This triangle will have the same shape as the original triangle, but it will be five times larger in size.