Triangle ABC has vertices A (-4,-2), B (-1,3), and C (5,0). Triangle ABC is rotated 180 degrees counterclockwise about the origin to form triangle A'B'C'.

a. what are the coordinates of the vertices of triangle A'B'C'?
b. How could you determine the coordinates of the vertices of the image without using a graph?

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  1. a. A (4,2), B (1,-3), and C (-5,0)

    b. as you can see , the sign of every x and y is changed

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  2. Rectangle QRST has vertices Q(-6, -1), R(-3, 1), S(1,-5),andT(-2,-7) with the translation rule: (x,y)→(x+5,y+7). Q' would be

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