Sequence of Translations

A sequence of translations maps ∆ GHI to ∆ G’H’I’.
• ∆ GHI has vertices at G (-8,2), H (13,2), and I (-2,10)
• The coordinates of G’ are (-1,-3)

What are the coordinates of H’ and I’ ?

---

When translating from G (-8,2) to G’ (-1,-3), there is
- a change in the x-coordinate of +7
- a change in the y-coordinate of -5

Translate from H to H’ and from I to I’, with the same changes.

If H is (13,2), then H’ will be (20,-3)
If I is (-2,10), then I’ will be (5,5) {added 7 to the x-coordinates and subtracted 5 from the y-coordinates}

H’ = (20,-3)
I’ = (5,5)

Ask Algebra House
​