Question

What single transformation maps ∆ABC onto ∆A'B'C'?

Answer 1

The triangle is rotated 90° counterclockwise about the origin.

Explanation:

Answer 2

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.