# Maths Topic 26 - Coordinates into the 4th quadrant; translation, rotation, reflection

Coordinates into the 4th quadrant: Identifying coordinates, translation, rotation and reflection is commonly tested in 11+ and Selective School exams in the UK.

## Examples

### Example Question 1:

What are the coordinates for shapes 1 and 2? Shape 1: A= (1,3), B = (4,3), C = (4,1), D= (1,1)

Shape 2: A= (-4,-1), B= (-2,-3), C= (-4,-3)

Explanation: The coordinates are always given with the horizontal (x axis line) first, followed by the vertical (y axis line).

### Example Question 2:

(a) Reflect the green rectangle across the y axis. What will the new coordinates be?

(b) Rotate the green rectangle 90° clockwise around the point (0,0). What will the new coordinates be?

(c) Translate the green triangle 4 squares down and one square to the right. What will the new coordinates be? (a) A = (-1,4), B = (-3,4), C = (-3,1), D = (-1,1)

(b) A = (4,-1), B =  (4,-3), C = (1,-3), D = (1,-1)

(c) A = (2,0), B = (4,0), C = (4,-3), D = (2,-3)

Explanations – see the diagram below 