Question

The rule is applied to ΔFGH to produce ΔF"G"H".

On a coordinate plane, 2 triangles are shown. Triangle F G H has points (1, 1), (4, 5), (5, 1). Triangle F prime G prime H prime has points (negative 1, negative 1), (negative 4, negative 5), (negative 5, negative 1).
What are the coordinates of vertex F" of ΔF"G"H"?

(4, –1.5)
(4, –0.5)
(–1.5, 4)
(–0.5, 4)

Answer 1

Answer: (4, –0.5)

Reason: F' = (−1, −1). The image triangle is a translation of the primed triangle by vector (5, 0.5), so F" = (−1+5, −1+0.5) = (4, −0.5).