Question

A triangular prism has vertices at A(2, 0, 0), B(2, 1, 3), C(2, 2, 0), D(0, 0, 0), E(0, 1, 3), and F(0, 2, 0).

Which image point has the coordinates (1, 4, 3) after a translation using the vector 1, 2, 3?

What point represents a reflection of B over the xy-plane?
B'( )

Answer 1

let the original point be reached by the vector (a,b,c)
then
(a,b,c) + (1,2,3) = (1,4,3)
by mental arithmetic
(a,b,c) = (0,2,0)