Question

Triangle ABC has coordinates A(3,3), B(0,0) and C(3,0) if the triangle is rotated 180 degrees about point B what will the coordinates of the images of A and C

Answer 1

For 180° rotation about origin B(0,0),
P(x,y)➡P'(-x,-y)
Similarly,
A(3,3) ➡A'(-3,-3)
C(3,0) ➡C'(-3,0)