Question

Graph the triangle and its image after the given composition. List the coordinates of the images.

Answer 1

The first transformation:

A(-4,2) => A'(-4+3,2-2) = A'(-1,0)

B(-3,-1) => B'(-3+3,-1-2) = B'(0,-3)

C(-1,-1) => C'(-1+3,-1-2) = C'(2,-3)

A rotation of 180° around the origin can be written as follow:

T(x,y) = (-x,-y)

A'(-1,0) => A''(1,0)

B'(0,-3) => B''(0,3)

C'(2,-3) => C''(-2,3)