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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)

Respuesta :

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

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