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?

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- taramgrant0543664

|dw:1438492100436:dw|
So this is a kind of bad attempt on drawing the initial triangle, so you have to determine which point is your point of origin first so that we can rotate it 180 degrees

- taramgrant0543664

The origin is where the two axis meet so right as (0,0) so we will have to rotate the triangle 180 degrees round that point

- taramgrant0543664

|dw:1438492499423:dw|
Do you have a guess on what those coordinates are for the new triangle?

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## More answers

- taramgrant0543664

A is at (3,0) instead of (-3,0)
B is at (2,-3) instead of (-2,30
C is at (1,-1) instead of (-1,1)

- taramgrant0543664

After that you will want to reflect it across the line y=-x to determine your final triangle

- taramgrant0543664

You're final triangle will have the points
A(0,-3)
B(-3,2)
C(-1,1)
I'm pretty sure it should be these points

- anonymous

yes as taramgrant said .. going by similar procedure we will have the points of the reflected traingle(shown as dashed)|dw:1438493029033:dw|

- taramgrant0543664

Just realized that my B point for the reflection was wrong I just put the negatives in the wrong place B should be (3,-2)
Nick's drawing is right there if you want to do it all together or you can do each step individually depending on what's best for you

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