Question

the vertices of a triangle are P(-2,-3), Q(-4,-2), and R(4,8). what are the vertices of the image reflected across the line y=x

Answer 1

P'(-3, -2), Q'(-2, -4), and R'(8, 4)

Step-by-step explanation:

To reflect across the line y = x, we can use the following rule:

(x, y) ----> (y, x)

Therefore, the coordinates of the vertices in the image reflected will be:

(x, y) ----> (y, x)

P(-2, -3) ----> P'(-3, -2)

Q(-4, -2) ----> Q'(-2, -4)

R(4, 8) ------> R'(8, 4)

So, the answer is:

P'(-3, -2), Q'(-2, -4), and R'(8, 4)