Question

You rotate triangle ABC, with vertices A(-3, 1), B(-2, 2), and C(-3, 4), 90° counterclockwise about the origin to form triangle A′B′C′. Match each vertex of triangle A′B′C′ to its coordinates.

Answer 1

The new vertices will be: A'(-1,-3), B'(-2,-2) and C'(-4,-3)

Explanation:

Rotation about the origin depends on the degrees the point is being rotated and direction of rotation.

Let (x,y) be a point on the xy-coordinate plane,

When this point will be rotated about origin 90 degrees counter clockwise, the coordinates of the point become (-y,x) which means that the coordinates will be exchanged and y will be negated.

Given vertices of triangle are:

A(-3, 1), B(-2, 2), and C(-3, 4)

After rotation the new points will be:

A(-3, 1) => A'(-1,-3)

B(-2,2) => B'(-2,-2)

C(-3,4) => C'(-4,-3)

Hence,

The new vertices will be: A'(-1,-3), B'(-2,-2) and C'(-4,-3)