# Coordinates and translations

> Grade 5: read coordinates in the first quadrant, x comes before y, translate a shape left, right, up, down, reflect in a mirror line, position after a move.

Source: https://olyclass.com/library/math-g5-coordinates-en/

- Subject: Math
- Level: Grade 5
- Practice: 16
- Play it free on one screen (projector, TV or whiteboard): https://olyclass.com/library?play=math-g5-coordinates-en
- Copy and edit it: https://olyclass.com/library?copy=math-g5-coordinates-en
- Games it plays well in: [Lucky Wheel](https://olyclass.com/classroom-games/lucky-wheel/), [Bowling](https://olyclass.com/classroom-games/bowling/), [Hoop Shot](https://olyclass.com/classroom-games/hoop-shot/), [Penalty Kick](https://olyclass.com/classroom-games/penalty-kick/)

## Questions

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