Triangle ABC has vertices point A(2,1) B(4,3) C (-2,5) find the coordinates of A, B and C after a dilation with a scale factor of seven and a centerpoint of dilation at the origin (0,0)
To find the coordinates of a point after a dilation with a scale factor of 7 and a center point of dilation at the origin (0,0), we multiply each coordinate of the original point by the scale factor.
For point A(2,1):
The x-coordinate of the new point is 7 * 2 = 14.
The y-coordinate of the new point is 7 * 1 = 7.
So, the new coordinates of A are (14,7).
For point B(4,3):
The x-coordinate of the new point is 7 * 4 = 28.
The y-coordinate of the new point is 7 * 3 = 21.
So, the new coordinates of B are (28,21).
For point C(-2,5):
The x-coordinate of the new point is 7 * (-2) = -14.
The y-coordinate of the new point is 7 * 5 = 35.
So, the new coordinates of C are (-14,35).
Therefore, after the dilation, the coordinates of A, B, and C are:
A(14,7), B(28,21), C(-14,35).