Coordinates and moving shapes · Usually met around P4
Translations
Count how far one corner moves.
How to do it
Method
Count how far one corner moves
(2, 3) right 4, up 1 → (6, 4)
Another way
Corner by corner
Every corner right 4, up 1, then join them
In full
A translation slides the whole shape left or right and up or down, without turning or flipping it; its size and shape stay the same. To describe one, pick a corner and see where it moves to: count the squares right (or left) and up (or down). Count how far one corner travels, not the gap between the two shapes. In coordinates: right adds to x, left takes away; up adds to y, down takes away. Or move every corner the same way, one at a time, and join them up.
Worked examples
Have a go first, then open each one for the answer and the working.
Example 1
The point (5, 1) moves 3 squares right and 2 squares up. Its new position is (□, □).
Fill in each box
Show the answer and working
Answer: 8，3
Right adds 3 to x: 8. Up adds 2 to y: 3.
Example 2
Shape Q is shape P after a translation. P moved □ squares right and □ squares up.
Fill in each box
Show the answer and working
Answer: 5，2
Follow one corner: the right angle moves from (1, 0) to (6, 2), 5 right and 2 up.
Example 3
Shape Q is shape P translated 3 squares to the right.
True or false?
Show the answer and working
Answer: True
Q would be every corner of P moved 3 right, with the shape facing the same way.
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