Question

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?


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



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



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



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


NextReset

Answer 1

the easy way to do this is to do the diagram and see the results

Answer 2

when you rotate (x,y) 180 clockwise x to -x and y to -y
when you reflect across a line the distance to the line is the same distance from the line on the other side. remember the line of reflection is like a mirror.