Question

The coordinates of E F G are E (2, -4). F (3, 6) And G (8, -7). If the triangle is rotated 90 degrees counterclockwise about the origin, which rule describes this transformation?

Answer 1

(x, y) ⇒ (-y, x)

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.

Rotation is the flipping of a figure about a point. If a point A(x, y) is rotated 90 degrees counterclockwise about the origin the new location of the point is at A'(-y, x).

Given a triangle with vertices at E (2, -4). F (3, 6) And G (8, -7). If the triangle is rotated 90 degrees counterclockwise about the origin, the new location is at:

E'(4, 2), F'(-6, 3) and G'(7, 8).

The rule (x, y) ⇒ (-y, x) was used