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Vectors on Coordinate Axes

In this worksheet, students state the vector that maps one point to another on a set of xy coordinate axes.

'Vectors on Coordinate Axes' worksheet

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Describe Translations as 2D Vectors

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

A vector is a "carrier" of information regarding a shifting movement.

A 2D vector can be written in the form

 

( x )
y

 

where x is the horizontal shift and y is the vertical shift.

 

The following diagram shows how a positive of negative number affects the direction of the shift.

 

 

 

Example

In the diagram,

A is at (4,8)

B is at (3, 4)

C is at (8,2)

D is at (8,6)

State the vector which maps B to C.

 

 

 

 

Answer

 The x coordinate is increased by 5.

The y coordinate is decreased by 2.

The vector is:

 

( 5 )
-2

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps B to A.

 

 

Answers

1. ( 1 )   2. ( -5 )   3. ( 4 )
4 2 -6

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps A to C.

 

 

Answers

1. ( 1 )   2. ( -5 )   3. ( 4 )
4 2 -6

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps C to B.

 

 

Answers

1. ( -4 )   2. ( -5 )   3. ( 5 )
2 2 2

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps D to B.

 

 

Answers

1. ( -2 )   2. ( -5 )   3. ( 5 )
-5 -2 2

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps B to C.

 

 

Answers

1. ( -2 )   2. ( -5 )   3. ( 5 )
-5 -2 -2

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps D to C.

 

 

Answers

1. ( 0 )   2. ( -4 )   3. ( 0 )
-4 0 4

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps C to D.

 

 

Answers

1. ( 0 )   2. ( -4 )   3. ( 0 )
-4 0 4

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps A to D.

 

 

Answers

1. ( -2 )   2. ( 4 )   3. ( -2 )
-4 -2 4

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps A to B.

 

 

Answers

1. ( -1 )   2. ( 4 )   3. ( -1 )
-4 -1 4

 

1.

2.

3.

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps C to A.

 

 

Answers

1. ( 6 )   2. ( 4 )   3. ( -4 )
-4 -6 6

 

1.

2.

3.

  • Question 1

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps B to A.

 

 

Answers

1. ( 1 )   2. ( -5 )   3. ( 4 )
4 2 -6

 

CORRECT ANSWER
1.
EDDIE SAYS
Right 1 Up 4
  • Question 2

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps A to C.

 

 

Answers

1. ( 1 )   2. ( -5 )   3. ( 4 )
4 2 -6

 

CORRECT ANSWER
3.
EDDIE SAYS
Right 4 Down 6
  • Question 3

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps C to B.

 

 

Answers

1. ( -4 )   2. ( -5 )   3. ( 5 )
2 2 2

 

CORRECT ANSWER
2.
EDDIE SAYS
Left 5 Up 2
  • Question 4

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps D to B.

 

 

Answers

1. ( -2 )   2. ( -5 )   3. ( 5 )
-5 -2 2

 

CORRECT ANSWER
2.
EDDIE SAYS
Left 5 Down 2
  • Question 5

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps B to C.

 

 

Answers

1. ( -2 )   2. ( -5 )   3. ( 5 )
-5 -2 -2

 

CORRECT ANSWER
3.
EDDIE SAYS
Right 5 Down 2
  • Question 6

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps D to C.

 

 

Answers

1. ( 0 )   2. ( -4 )   3. ( 0 )
-4 0 4

 

CORRECT ANSWER
1.
EDDIE SAYS
Across 0 Down 4
  • Question 7

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps C to D.

 

 

Answers

1. ( 0 )   2. ( -4 )   3. ( 0 )
-4 0 4

 

CORRECT ANSWER
3.
EDDIE SAYS
Across 0 Up 4
  • Question 8

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps A to D.

 

 

Answers

1. ( -2 )   2. ( 4 )   3. ( -2 )
-4 -2 4

 

CORRECT ANSWER
2.
EDDIE SAYS
Right 4 Down 2
  • Question 9

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps A to B.

 

 

Answers

1. ( -1 )   2. ( 4 )   3. ( -1 )
-4 -1 4

 

CORRECT ANSWER
1.
EDDIE SAYS
Left 1 Down 4
  • Question 10

In the diagram,

A is at (4,8); B is at (3, 4); C is at (8,2); D is at (8,6)

State the vector which maps C to A.

 

 

Answers

1. ( 6 )   2. ( 4 )   3. ( -4 )
-4 -6 6

 

CORRECT ANSWER
3.
EDDIE SAYS
Left 4 Up 6
---- OR ----

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