Question

A coordinate plane showing a polygon with vertices labeled.
Translate the figure HIJKL
3 units to the left. Which of the following would be a vertex in the translated figure?

(1 point)
Responses

(2, 4)
left parenthesis 2 comma 4 right parenthesis

(−6, 6)
left parenthesis negative 6 comma 6 right parenthesis

(−7, 4)
left parenthesis negative 7 comma 4 right parenthesis

(−1, −2)

Answer 1

I don’t have the picture of HIJKL, so I can’t tell which option matches the translated vertex yet. Tell me the original vertex coordinates (or upload the diagram) and I’ll pick the correct one.

How to check yourself:
- A translation 3 units left subtracts 3 from each x-coordinate: (x,y) -> (x−3,y).
- Equivalently, each given answer would come from an original vertex with x + 3. So the possible originals are:
- (2,4) came from (5,4)
- (−6,6) came from (−3,6)
- (−7,4) came from (−4,4)
- (−1,−2) came from (2,−2)

Whichever of those original coordinates is a vertex of HIJKL is the correct answer. If you can tell me the original vertices (or show the figure), I’ll pick the right option.