ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?

Question

A. A'(0, 3), B'(2, 3), C'(1, 1)

B. A'(0, -3), B'(3, -2), C'(1, -1)

C. A'(-3, 0), B'(-3, 2), C'(-1, 1)

D. A'(0, -3), B'(-2, -3), C'(-1, -1)

Answer 1

A 180 degree clockwise rotation will change the coordinates as follows (x,y) --> (-x,-y)

A(-3, 0), B(-2, 3), C(-1, 1) -->

A(3, 0), B(2, -3), C(1, -1)

Reflection across the line y=-x will change the coordinates as follows (x,y) --> (-y,-x)

A(3, 0), B(2, -3), C(1, -1) -->

A(0,-3), B(3,-2), C(1, -1) (B)

Answer 2

Please see video.