Question

You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to get triangle P′Q′R′. What are the coordinates of triangle P′Q′R′?

Answer 1

The coordinates of triangle P'Q'R' are P'(2, -4), Q'(3, -1), and R'(4, -4).

Step-by-step explanation:

To find the coordinates of triangle P'Q'R' after reflecting triangle PQR across the y-axis, we need to change the sign of the x-coordinate of each vertex. So, the new coordinates are P'(-(-2), -4), Q'(-(-3), -1), and R'(-(-4), -4).

After simplifying, we get P'(2, -4), Q'(3, -1), and R'(4, -4).

Therefore, the coordinates of triangle P'Q'R' are P'(2, -4), Q'(3, -1), and R'(4, -4).

Answer 2

If you reflect about the y-axis, only the x-coordinates reverse sign while the y-coordinates stay the same....

P'(2,-4), Q'(3,-1), R'(4,-4)