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Geometry: Coordinate Shapes (3)

In this worksheet, students work out the coordinates of the missing corner of a rectangle, given the other three corners.

'Geometry: Coordinate Shapes (3)' 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

It is possible to work out the coordinates of a missing corner of a rectangle, given the coordinates of the other three corners.

 

Example

Three of the corners of a rectangle are at (4,2), (8,2) and (4,8).  

Find the coordinates of the fourth corner.

 

Answer

(4, 2) and (8, 2) are the base points because the y-coordinate is 2 compared to (4, 8).

The missing point must have its y-coordinate at 8 also.

(4, 2) and (8, 2) have x-coordinates which differ by 4, so the missing point must have its x-coordinate 4 more than (4,8).....i.e. 4 + 4 = 8

The missing point has coordinates (8, 8)

 

Three of the corners of a rectangle are at (3,2), (8,2) and (3,8).  

Find the coordinates of the fourth corner.

(2, 4)

(2, 8)

(8, 8)

(8, 4)

Three of the corners of a rectangle are at (4,3), (8,3) and (4,6).  

Find the coordinates of the fourth corner.

(8, 6)

(6, 8)

(4, 8)

(2, 8)

Three of the corners of a rectangle are at (4,2), (5,2) and (5,8).  

Find the coordinates of the fourth corner.

(6, 8)

(2, 6)

(8, 6)

(4, 8)

Three of the corners of a rectangle are at (4,7), (7,2) and (7,7).  

Find the coordinates of the fourth corner.

(4, 2)

(8, 7)

(7, 4)

(2, 7)

Three of the corners of a rectangle are at (6,2), (8,2) and (6,10).  

Find the coordinates of the fourth corner.

(7, 6)

(7, 7)

(8, 10)

(8, 6)

 

Three of the corners of a rectangle are at (7,2), (8,2) and (7,10).  

Find the coordinates of the fourth corner.

 

(7, 6)

(7, 7)

(8, 10)

(8, 6)

 

Three of the corners of a rectangle are at (0,2), (6,2) and (6,10).  

Find the coordinates of the fourth corner.

 

(2, 6)

(0, 10)

(8, 10)

(10, 6)

Three of the corners of a rectangle are at (1,2), (10,2) and (1,10).  

Find the coordinates of the fourth corner.

 

(2, 6)

(10, 10)

(8, 10)

(10, 6)

Three of the corners of a rectangle are at (1,2), (20,2) and (1,10).  

Find the coordinates of the fourth corner.

 

(2, 6)

(10, 10)

(20, 10)

(10, 6)

Three of the corners of a rectangle are at (1,2), (200,2) and (1,10).  

Find the coordinates of the fourth corner.

 

(2, 6)

(10, 200)

(20, 10)

(200, 10)

  • Question 1

Three of the corners of a rectangle are at (3,2), (8,2) and (3,8).  

Find the coordinates of the fourth corner.

CORRECT ANSWER
(8, 8)
  • Question 2

Three of the corners of a rectangle are at (4,3), (8,3) and (4,6).  

Find the coordinates of the fourth corner.

CORRECT ANSWER
(8, 6)
  • Question 3

Three of the corners of a rectangle are at (4,2), (5,2) and (5,8).  

Find the coordinates of the fourth corner.

CORRECT ANSWER
(4, 8)
  • Question 4

Three of the corners of a rectangle are at (4,7), (7,2) and (7,7).  

Find the coordinates of the fourth corner.

CORRECT ANSWER
(4, 2)
  • Question 5

Three of the corners of a rectangle are at (6,2), (8,2) and (6,10).  

Find the coordinates of the fourth corner.

CORRECT ANSWER
(8, 10)
  • Question 6

 

Three of the corners of a rectangle are at (7,2), (8,2) and (7,10).  

Find the coordinates of the fourth corner.

 

CORRECT ANSWER
(8, 10)
  • Question 7

 

Three of the corners of a rectangle are at (0,2), (6,2) and (6,10).  

Find the coordinates of the fourth corner.

 

CORRECT ANSWER
(0, 10)
  • Question 8

Three of the corners of a rectangle are at (1,2), (10,2) and (1,10).  

Find the coordinates of the fourth corner.

 

CORRECT ANSWER
(10, 10)
  • Question 9

Three of the corners of a rectangle are at (1,2), (20,2) and (1,10).  

Find the coordinates of the fourth corner.

 

CORRECT ANSWER
(20, 10)
  • Question 10

Three of the corners of a rectangle are at (1,2), (200,2) and (1,10).  

Find the coordinates of the fourth corner.

 

CORRECT ANSWER
(200, 10)
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