Rotating and translating the triangle are illustrations of transformations
The ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)
The coordinates of the pre-image of the triangle are:
A = (1, 3)
B = (-2, 2)
C = (4, 0)
When the triangle is rotated 180 degrees, the rule of transformation is:
(x,y)→(−x,−y)
So, we have:
A' = (-1, -3)
B' = (2, -2)
C' = (-4, 0)
When the triangle is translated 5 units down, the rule is:
(x,y)→(x,y-5)
So, we have:
A' = (-1, -8)
B' = (2, -7)
C' = (-4, -5)
Hence, the ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)
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