Coordinates and translations

Worksheet: Coordinates and translations

Name:Class:

Answer the questions.

1. Which point is 3 squares across and 5 squares up from the origin?
   a) (3, 3)b) (3, 5)c) (5, 3)d) (5, 5)
2. What are the coordinates of the origin?
   a) (0, 0)b) (0, 1)c) (1, 0)d) (1, 1)
3. A point is at (6, 2). How far along the x-axis is it?
   a) 2b) 4c) 6d) 8
4. In the coordinates (4, 7), the 4 tells you how far to go across first.
   a) Trueb) False
5. Which point is 2 squares across and 8 squares up from the origin?
   a) (2, 2)b) (2, 8)c) (8, 2)d) (8, 8)
6. The points (3, 5) and (5, 3) are in the same place on a grid.
   a) Trueb) False
7. A point at (2, 3) is translated 4 squares right. Where does it land?
   a) (2, 7)b) (6, 3)c) (6, 7)d) (−2, 3)
8. A point at (5, 6) is translated 3 squares down. Where does it land?
   a) (2, 6)b) (5, 3)c) (5, 9)d) (8, 6)
9. A triangle corner at (1, 2) moves 2 right and 3 up. Where is the corner now?
   a) (3, 4)b) (3, 5)c) (4, 4)d) (−1, −1)
10. A point at (4, 4) is reflected in the vertical mirror line x = 2. Where is its image?
11. Reflect the point (2, 5) in the vertical mirror line x = 4. Where is the image?
    a) (2, 3)b) (4, 5)c) (6, 3)d) (6, 5)
12. When a shape is reflected in a mirror line, its image is the same size as the shape.
    a) Trueb) False
13. A point at (7, 1) moves 2 left and 5 up. What are its new coordinates?
14. A point moves 4 right and 2 down and lands on (9, 3). Where did it start?
15. A point at (3, 3) is reflected in the horizontal mirror line y = 5. Where is its image?
    a) (3, 2)b) (3, 7)c) (3, 8)d) (7, 3)
16. Which move takes the point (2, 2) to (5, 2)?
    a) 3 squares leftb) 3 squares rightc) 3 squares upd) 5 squares right