Question

the coordinates of a triangle are given as A(3,2), B(-4,1),C(-3,-2). what are the coordinates of the image after the triangle is reflected in the line y=x?​

Answer 1

got it right on odyssey

A'(2,3)

B'(1,-4)

C'(-2,-3)

Explanation:

Answer 2

A reflection is a transformation where the mirror image of a figure is shown directly opposite its line of reflection.

To find an image that has been reflected across the line y = x, switch the x- and y-coordinates.

Therefore, the rule for reflecting an image across the line y = x can be described as (x, y) → (y, x).

Now, apply rule to coordinates ABC:

A': (2, 3)

B': (1, -4)

C': (-2, -3)