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)

Answer 1

@563blackghost sorry accidentally closed other one

Answer 2

its alright xD working on your problem...

Answer 3

I would say D or C

Answer 4

could you be more precise?

Answer 5

trying to draw it out one sec....

Answer 6

sorry for the wait

Answer 7

its fine @563blackghost

Answer 8

The ABC is rotated 180 degrees about the origin which the new coordinates are A(3,0) , B(2,-3) and C(1,-1).....now we need to reflect across the line y=-x...how do we do that?

Answer 9

we reflect it?

Answer 10

exactly but we need to do the line of reflection of y=-x so what would be the new coordinates

http://www.virtualnerd.com/pre-algebra/geometry/transformations-symmetry/define-transformations/line-of-reflection-definition

Answer 11

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

Answer 12

this is where i got lost....

Answer 13

?

Answer 14

what you did was reflect it across the x-axis but we need to do y=-x reflected and i got A(-3,0) B(-2,-3) and C(-1,-1) but its not one of the choices

Answer 15

the closes choice to my answer is D

Answer 16

was i right?

Answer 17

so which do you choose?

Answer 18

I believe your answer is right....

Answer 19

http://cribbd.com/learn/maths/shape-and-space/reflect-shapes-in-the-lines-y--x-and-y---x

Answer 20

it says on this link that for y=-x the x and y coordinates are swap so the x-coordinate would be in place of the y-coordinate and the y-coordinate would be in place of the x-coordinate + the sign changes

Answer 21

so the answer would be B