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?

Question

taramgrant0543664 · Answer

|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 · Answer

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 · Answer

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

taramgrant0543664 · Answer

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 · Answer

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

taramgrant0543664 · Answer

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 · Answer

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