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Can you help me please. I need to find A’B’C’

Can you help me please. I need to find A’B’C’-example-1

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From the given figure

The vector DE is (2, -2) because E is down D by 2 units and right it by 2 units

Down by 2 units means y = -2, right by 2 units means x = 2

Now we will translate each point by (x + 2, y - 2) [2 units right and 2 units down]

Since A = (2, 2), then

A' = (2 + 2, 2 - 2) = (4, 0)

Since B = (0, 0), then

B' = (0 + 2, 0 - 2) = (2, -2)

Since C = (-2, 2), then

C' = (-2 + 2, 2 - 2) = (0, 0)

The answer is

A' (4, 0)

B' (2, -2)

C' (0, 0)

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