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Know Your Geometry: Rotations of 90 degrees

In this worksheet, students rotate points and shapes 90º clockwise or anticlockwise around the given points and give the coordinates.

'Know Your Geometry: Rotations of 90 degrees' worksheet

Key stage:  KS 2

Curriculum topic:  Geometry: Position and Direction

Curriculum subtopic:  Know, Describe and Present Shapes

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

Look at the following rectangle drawn on  xy-coordinate axes.

 

 

When we rotate a shape about a centre of rotation, we also need to know the angle of the rotation and the direction.

 

In this example the rotation will be 90º clockwise.

 

This is done by moving each point around the centre of rotation, which in this case is at A.

 

The result looks like this:

 

Notice that A and A' are at the same point and have not moved.

 

 

 

 

Look at this diagram, which shows a rectangle ABCD, which is rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of B'. (Remember to write your answer in brackets).

 

 

Look at this diagram, which shows a rectangle ABCD, which is rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of C'. (Remember to write your answer in brackets).

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of D'. (Remember to write your answer in brackets).

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of A'.

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of B'.

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of A'.

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of C'.

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of D'.

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º anticlockwise about the point D to give the rectangle A'B'C'D'.

Write down the coordinates of C'.

 

 

 

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º anticlockwise about the point D to give the rectangle A'B'C'D'.

Write down the coordinates of B'.

 

 

 

  • Question 1

Look at this diagram, which shows a rectangle ABCD, which is rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of B'. (Remember to write your answer in brackets).

 

CORRECT ANSWER
(4,6)
(4, 6)
  • Question 2

 

Look at this diagram, which shows a rectangle ABCD, which is rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of C'. (Remember to write your answer in brackets).

 

 

CORRECT ANSWER
(10,6)
(10, 6)
  • Question 3

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of D'. (Remember to write your answer in brackets).

 

 

CORRECT ANSWER
(10,4)
(10, 4)
  • Question 4

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point A to give the rectangle A'B'C'D'.

Write down the coordinates of A'.

 

 

CORRECT ANSWER
(4,4)
(4, 4)
  • Question 5

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of B'.

 

 

CORRECT ANSWER
(2,4)
(2, 4)
  • Question 6

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of A'.

 

 

CORRECT ANSWER
(2,2)
(2, 2)
  • Question 7

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of C'.

 

 

CORRECT ANSWER
(8,4)
(8, 4)
  • Question 8

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º clockwise about the point B to give the rectangle A'B'C'D'.

Write down the coordinates of D'.

 

 

CORRECT ANSWER
(8,2)
(8, 2)
  • Question 9

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º anticlockwise about the point D to give the rectangle A'B'C'D'.

Write down the coordinates of C'.

 

 

 

CORRECT ANSWER
(4,8)
(4, 8)
  • Question 10

Look at this diagram, which shows a rectangle ABCD, which is to be rotated through 90º anticlockwise about the point D to give the rectangle A'B'C'D'.

Write down the coordinates of B'.

 

 

 

CORRECT ANSWER
(10,8)
(10, 8)
---- OR ----

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