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?

Answer 1

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)

Answer 2

I drew it out and i believe it is C. I'd just like some confirmation.

Answer 3

after the 180 degree rotation, the coordinates should be

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

Answer 4

thanks i believe i can do it from here

Answer 5

then after the reflection, it should be

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

Answer 6

oh nvm then you got it

Answer 7

yep thats what i got! thanks!

Answer 8

wouldnt B be (-3, -2)? since its being reflected?

Answer 9

nope bc when you reflect a point over y = -x

then the x and y values switch places and switch signs.

thats why B'(2, -3) became B'(3, -2)

Answer 10

this is my drawing, green is the rotation, and orange is the reflection

Answer 11

oh i understand, i wasnt reflecting over y=-x

Answer 12

I was only reflecting over the y! thanks!

Answer 13

no problem. glad to help