Question

Triangle ABC has vertices A(–4,–2), B(–1,3), and C(5,0). Triangle ABC is rotated 180° counterclockwise about the origin to form triangle A′B′C′.
What are the coordinates of the vertices of the triangle A′B′C′?
How could you determine the coordinates of the vertices of the image without using a graph?

Answer 1

A rotation of 180° is a reflection in the origin , so just change the signs of all your points.
e.g. B(-1,3) ----> B'(1,-3)
etc

Answer 2

3.c
4.c
5.d
6.a
7.c
8.d
9.b
11. b, d and e
13.d
The rest I cannot help with