Question

- ABC with vertices at A(-4,4), B(-3,-3), andC-9, -1) is rotated 180 counterclockwise aboutthe originBWhat are the vertices of the image. -A'B'C' ?A. A'(-4,4), B'(-3,-3), C (-0, -1)В.A' (4.-4), B'(-3, -3), C (-1,-9)C. A'(4.-4), B'(3.3), C (91)D. A'(4,4), B (3, -3), C (9,-1)

Answer 1

C. A'(4, -4), B'(3,3), and C'(9, 1)

Step-by-step explanation:

Given the vertices of triangle ABC below:

A(-4,4), B(-3,-3), and C(-9, -1)

A rotation 180 counterclockwise about the origin gives the transformation.

`(x,y)\to(-x,-y)`

Therefore, the vertices of the image of ABC are:

A'(4, -4), B'(3,3), and C'(9, 1)

The correct choice is C.