Question

The vertices of / are A(0, 3), B(2, –4), and C(–4, –6). / is rotated 180° counterclockwise about the origin to form /. What are the coordinates of the vertices of /?

A.
A’(–3, 0), B’(4, –2), C’(6, 4)
B.
A’(0, –3), B’(–2, –4), C’(4, –6)
C.
A’(0, –3), B’(–2, 4), C’(4, 6)
D.
A’(3, 0), B’(4, 2), C’(–6, 4)

Answer 1

The answer is C of. the above question

Answer 2

C.A’(0, –3), B’(–2, 4), C’(4, 6)

Explanation:

A rotation of 180º on the given triangle can be observed when the vertices of the triangle are just changed in sign because a 180º rotation is a reflection on the Y axis, so we just have to change the signs of the vertices, and that would be option

C.A’(0, –3), B’(–2, 4), C’(4, 6)