Question

A triangle is rotated 90° about the origin. Which rule describes the transformation?

a. (x, y) - (-X, -y)
b. (x, y) - (-), x)
c. (x, y) - (-y, -)
d. (x, y) - (y, -x)

Answer 1

The rule that describes the transformation of a triangle rotated 90° about the origin is (x, y) - (y, -x). Hence the correct answer is option D

Step-by-step explanation:

The rule that describes the transformation of a triangle rotated 90° about the origin is (x, y) - (y, -x). This means that the x-coordinate of each point becomes the y-coordinate and the y-coordinate becomes the negative of the x-coordinate. Let's take an example to illustrate this.

Suppose we have a triangle with vertices A(2, 3), B(4, 1), and C(6, 5). When we rotate this triangle 90° about the origin, A(2, 3) becomes A'(3, -2), B(4, 1) becomes B'(1, -4), and C(6, 5) becomes C'(5, -6).

So, the correct answer is d. (x, y) - (y, -x).

Hence the correct answer is option D