Triangle ABC has vertices at A(2, 2), B(2,7), and C(6,3). This triangle is dilated by a scale factor of 3. What is the location of point C'? A. (2,1) B. (6,6) C. (6,21) D. (18,9)
To determine the new location of point C after the dilation, follow these steps:
1. Identify the coordinates of point C: Point C has the coordinates (6, 3).
2. Determine the scale factor: The given scale factor for the dilation is 3.
3. Apply the scale factor to the coordinates of point C: - Multiply the x-coordinate of point C by the scale factor: [tex]\( 6 \times 3 = 18 \)[/tex]. - Multiply the y-coordinate of point C by the scale factor: [tex]\( 3 \times 3 = 9 \)[/tex].
4. Find the new coordinates: After applying the scale factor, the new coordinates of point C (C') are (18, 9).
So, the location of point C' after the dilation is D. (18, 9).
