Question

What are the coordinates of P' when angle PQR is dilated by a scale factor of 3 using the origin as the center ? A) (18,2/3) B) (3,2/3) C) (2,6) D) (18,6)

Answer 1

To find the coordinates of P' when angle PQR is dilated by a scale factor of 3 using the origin as the center, we need to multiply the x-coordinate and y-coordinate of P by the scale factor.

Step-by-step explanation:

To find the coordinates of P' when angle PQR is dilated by a scale factor of 3 using the origin as the center, we need to multiply the x-coordinate and y-coordinate of P by the scale factor. Let's assume the coordinates of P are (x,y). The coordinates of P' would be (3x,3y).

Based on the given options, the correct coordinates of P' are (2*3, 6*3) = (6, 18).

So, the correct coordinates for P' are (6, 18), which corresponds to option D) (18, 6) when the coordinates are presented in the form (x, y). The order of the coordinates matters, and the correct answer is (6, 18). The explanation underscores the application of the dilation formula and the importance of considering the order of coordinates in the answer choices.