Question

which transformations had to occur for the blue triangle to become the purple triangle? [note: all rotations are about origin]

Answer 1

Let:

A = (-4,3)

B = (-1,3)

C = (-1,1)

after a 90 clockwise rotation:

A = (-4,3)--------->(y,-x)------->(3,4)

B = (-1,3)----------->(y,-x)------>(3,1)

C = (-1,1)------------>(y,-x)------>(1,1)

After a translation 3 units down and 2 units left:

(3,4)------>(x-2,y-3)------->(1,1)

(3,1)------>(x-2,y-3)------->(1,-2)

(1,1)------>(x-2,y-3)------->(-1,-2)

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Therefore, the answer is D