Question

Under a dilation of scale factor 3 with the center at the origin, if C (6, 9), what will be the coordinates of the point C'? O (12,18) (18,27) (0,0)

Answer 1

Under a dilation with a scale factor of 3 and the center at the origin, the coordinates of point C (6, 9) become (18, 27) for the point C'.

Step-by-step explanation:

The question asks about the results of a dilation on point C with coordinates (6, 9) when the scale factor is 3 and the center of dilation is at the origin. In a dilation, the coordinates of the original point are multiplied by the scale factor to find the coordinates of the image point.

Using the given scale factor of 3, we calculate the coordinates of C' by multiplying each coordinate of C by 3:

• Cx' = 6 × 3 = 18
• Cy' = 9 × 3 = 27

Therefore, the coordinates of point C' after the dilation are (18, 27).