Find the image of P(–2, –1) after two reflections; first mc017-1.jpg, and then mc017-2.jpg.

a. (1, –5)
b. (–2, –1)
Selected:c. (4, –9)This answer is correct.
d. (–1, –6)

1 answer

To find the image of point \( P(-2, -1) \) after two reflections, we need to know the lines across which the reflections are made. However, it seems that the images of the reflection lines are not visible in your message (indicated as "mc017-1.jpg" and "mc017-2.jpg").

To properly calculate the image after two reflections, follow these steps:

  1. Identify the line of reflection #1: Reflect the point \( P(-2, -1) \) over the line.
  2. Identify the line of reflection #2: Take the image point from reflection #1 and reflect it over the second line.

If you can provide the equations of the lines of reflection, I can help you find the final coordinates after both reflections. Without that information, it is impossible to confirm that (4, -9) or any other point is the correct final image after the reflections. Please provide the necessary details about the lines of reflection.