Triangle A is reflected in the line x = 1 to give triangle B. Triangle B is reflected in the line y = -2 to give triangle C.
Describe the single transformation that maps triangle A onto triangle C.

Rotation of A by 270° counterclockwise about the origin to form the image C.

Step-by-step explanation:

Let a point of triangle A is (3, -1).

When this point is reflected across the line x = 1, the new point of the triangle B will be,

A(3, -1) → B(-1, -1)

Then triangle B has been reflected across y = -2

B(-1, -1) → C(-1, -3)

Therefore, rule for the transformation from A to C will be,

A(3, -1) → C(-1, -3)

A(x, y) → C(y, -x)

Therefore, single transformation that maps A to C will be "Rotation of A by 270° counterclockwise about the origin to form the image C".