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? There was no image with it

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

Lets take the point A(-3,2)
A clockwise rotation wiil take it to the point (3,0)
Now the reflection in y = -x will take the x=3 to y = -3 and the y = 0 to x = 0

- that is the point (0,-3)

so its either B or D

Takef point C (-1, 1) The rotation will take it to the point (1 , -1)
The reflection will take x = 1 to y = -1 and y = -1 to x = 1
- that is to the point (1,-1). In fact this point is on the line y = -x.

So the answer is B