Question

Triangle ABC with coordinates

A(1,2), B(4,6), C(-1,3) is transformed to create triangle A'B'C' with the transformation
indicated: Rotation: about 90 degrees COUNTERCLOCKWISE
Provide the image coordinates after the triangle is transformed, ie. A'B'C'
Be mindful of negatives in the answers)!!!
Оа
Ob
(1,-2), (4,-6).(-1,-3)
(2,-1),(6,-4), (3,1)
(-2,1),(-6,4),(-3,-1)
(1,2), (4,6),(-1,3)
с
d

Answer 1

Explanation:

I’m not that smart

Answer 2

The image coordinates after the triangle is transformed include the following: C. (-2,1),(-6,4),(-3,-1).

In Euclidean Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise around the origin to triangle ABC, the coordinates of the vertices of the image (triangle A'B'C') are as follows:

(x, y) → (-y, x)

A (1, 2) → A' = (-2, 1)

B (4, 6) → B' = (-6, 4)

C (-1, 3) → C' = (-3, -1)