What single transformation maps ∆abc onto ∆a'b'c'?

Answer-

The triangle is rotated 90° counterclockwise about the origin.

Solution-

Coordinates of the vertices of the triangle ABC are,

A = (-3, 1)

B = (-1, 2)

C = (-2, 1)

Coordinates of the vertices of the triangle A'B'C' are,

A' = (-1, -3)

B' = (-2, -1)

C' = (-1, -2)

While rotating a point (x, y) 90° counterclockwise, it becomes (-y, x)

i.e (x, y) → (-y, x)

So, the triangle is rotated 90° counterclockwise about the origin.

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step-by-step explanation:

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