Question

Triangle abc has coordinates a a(2, 1), b(2, 4), and c(5, 1). it is reflected over the y-axis, then dilated with a scale factor of 2 about the origin. what are the coordinates of point a'?

Answer 1

The coordinates of point A' are (-4, 1).

Step-by-step explanation:

To find the coordinates of point A' after the triangle ABC is reflected over the y-axis and dilated with a scale factor of 2 about the origin, we need to follow these steps:

Reflect point A over the y-axis by changing the sign of its x-coordinate. So, the x-coordinate of A' is -2 (negative 2).

Next, dilate point A' with a scale factor of 2 about the origin. This means we need to multiply the x-coordinate and the y-coordinate of A' by 2. Since the y-coordinate of A' is 1, it remains the same. Thus, the coordinates of A' are (-4, 1).

Therefore, the coordinates of point A' are (-4, 1).