Question

Given the triangle ABC with points:

Answer 1

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)

How to transform the triangle

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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