Question

Graph these points.
Angle DFG has vertices D (–2, 4), F (–3, 1), and G (–1, 2). Find the vertices of the image after the rotation of 180° about the origin.

Answer 1

Rotation 180 degrees around (0,0) takes (x,y) --> (-x,-y)

Not much challenge here:

D:(-2,4) --> (2,-4)
. . .

Answer 2

*a triangle PQR is of coordinates P(1,3);Q(4,3)and R(4,-3)
a) plot the triangle PQR in X, Y- plane and join them to form a triangle.
b) Use a translation(2,-3)to find the image of PQR ; plot this image in the same plane as (a) above.
c) rotation the triangle PQR about origin with - 180;don't change the plane.
d) what is the image of triangle PQR under reflection of y=0