Question

Select the correct answer from each drop-down menu. ∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The coordinates of vertex A′ of ∆A′B′C′ are . The coordinates of vertex B′ of ∆A′B′C′ are . The coordinates of vertex C′ of ∆A′B′C′ are .

Answer 1

Below

Explanation:

Got it right

Answer 2

A'(-2, 1), B(1, 0) and C(-1, 0)

Explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b). If a point A(x, y) is rotated 90° clockwise about the origin, the new point is A'(y, -x).

From the diagram, the vertices of triangle ABC is at A(0, 0), B(1, 3) and C(1, 1).

If triangle ABC is translated 2 units down and 1 unit to the left, the new points are A*(-1, -2), B*(0, 1) and C*(0, -1).If it is then rotated 90° clockwise about the origin, the new point is A'(-2, 1), B(1, 0) and C(-1, 0)