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Moving Points on a Grid

In this worksheet, students must state the coordinates of points that have moved horizontally or vertically on a grid.

'Moving Points on a Grid' worksheet

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Use Coordinates in All Four Quadrants

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

When we shift points on a grid, their coordinates change because their positions have moved.

 

A horizontal shift will change the x-coordinate.

 

Shifting A 8 units to the right moves it from A(-5, -5) to B(3, -5).

We have added 8 to the x-coordinate.

 

Shifting B 8 units to the left moves it from B(3, -5) to A(-5, -5).

We have subtracted 8 from the x-coordinate.

 

 

 

A vertical shift will change the y-coordinate.

 

Shifting B 8 units up moves it from B(3, -5) to C(3, 3).

We have added 8 to the y-coordinate.

 

Shifting C 8 units down moves it from C(3, 3) to B(3, -5).

We have subtracted 8 from the y-coordinate.

 

What are the coordinates of H after it has been shifted 5 units to the right?

 

(2, 5)

(2, 4)

(1, 5)

(0, -3)

What are the coordinates of I after it has been shifted 5 units down?

 

(-1, 0)

(1, 0)

(3, 2)

(-2, 2)

What are the coordinates of J after it has been shifted 9 units to the left?

 

(-6, 5)

(5, 6)

(-6, -5)

(-6, 6)

What are the coordinates of A after it has been shifted 5 units up?

 

(-4, 2)

(-5, -2)

(5, 2)

(-5, 2)

What are the coordinates of F after it has been shifted 7 units to the right?

 

(-3, -4)

(3, 4)

(4, 3)

(-4, -3)

What are the coordinates of E after it has been shifted 4 units down?

 

(-2, -5)

(2, -5)

(-2, 5)

(-5, 2)

What are the coordinates of B after it has been shifted 3 units to the left?

 

(-4, -3)

(4, 3)

(-4, 3)

(3, 4)

What are the coordinates of D after it has been shifted 7 units up?

 

(5, 4)

(6, 4)

(-6, 3)

(4, -5)

What are the coordinates of G after it has been shifted 6 units down?

 

(2, -3)

(3, 2)

(-2, 3)

(-2, -2)

What are the coordinates of C after it has been shifted 7 units to the left?

 

(-4, -3)

(4, 3)

(-4, 3)

(3, 3)

  • Question 1

What are the coordinates of H after it has been shifted 5 units to the right?

 

CORRECT ANSWER
(2, 5)
EDDIE SAYS
We need to add 5 to the x-coordinate: -3 + 5 = 2 The coordinate then becomes (2, 5)
  • Question 2

What are the coordinates of I after it has been shifted 5 units down?

 

CORRECT ANSWER
(-1, 0)
EDDIE SAYS
We needed to take 5 away from the y-coordinate: 5 - 5 = 0 The co-ordinate then becomes (-1, 0)
  • Question 3

What are the coordinates of J after it has been shifted 9 units to the left?

 

CORRECT ANSWER
(-6, 5)
EDDIE SAYS
We needed to take 9 away from the x-coordinate: 3 - 9 = -6 The coordinate then becomes (-6, 5)
  • Question 4

What are the coordinates of A after it has been shifted 5 units up?

 

CORRECT ANSWER
(-5, 2)
EDDIE SAYS
We needed to add 5 to the y-coordinate: -3 + 5 = 2 A = (-5, 2)
  • Question 5

What are the coordinates of F after it has been shifted 7 units to the right?

 

CORRECT ANSWER
(4, 3)
EDDIE SAYS
We needed to add 7 to the x-coordinate: -3 + 7 = 4 The coordinate then becomes (4, 3)
  • Question 6

What are the coordinates of E after it has been shifted 4 units down?

 

CORRECT ANSWER
(2, -5)
EDDIE SAYS
We needed to take 4 away from the y-coordinate: -1 - 4 = -5 E = (2, -5)
  • Question 7

What are the coordinates of B after it has been shifted 3 units to the left?

 

CORRECT ANSWER
(-4, -3)
EDDIE SAYS
We needed to take 3 away from the x-coordinate: -1 - 3 = -4 B = (-4, -3)
  • Question 8

What are the coordinates of D after it has been shifted 7 units up?

 

CORRECT ANSWER
(6, 4)
EDDIE SAYS
We needed to add 7 to the y-coordinate: -3 + 7 = 4 D = (6, 4)
  • Question 9

What are the coordinates of G after it has been shifted 6 units down?

 

CORRECT ANSWER
(2, -3)
EDDIE SAYS
We need to take 6 away from the y-coordinate: 3 - 6 = -3 G = (2, -3)
  • Question 10

What are the coordinates of C after it has been shifted 7 units to the left?

 

CORRECT ANSWER
(-4, -3)
EDDIE SAYS
We need to take 7 is away from the x-coordinate: 3 - 7 = -4 C = (3, -3)
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