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Geometry: Reflections on a Grid

In this worksheet, students reflect points and shapes in the given mirror line on a coordinate grid.

'Geometry: Reflections on a Grid' worksheet

Key stage:  KS 2

Curriculum topic:  Geometry: Position and Direction

Curriculum subtopic:  Draw/Translate Shapes

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

Look at the following rectangle drawn on  x and y-coordinate axes.

 

Reflect the rectangle

When we reflect a shape in a mirror line, we reflect each corner in turn.

This is done by moving each point directly to the mirror line and then the same distance beyond.

The result looks like this:

 

Rectangle reflection

 

When writing the coordinates, remember to put the brackets around them.

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point A has been reflected in the mirror line to the point A'.

Write down the coordinates of B'. (Don't forget the brackets!)

 

Reflect B

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point A has been reflected in the mirror line to the point A'.

Write down the coordinates of C'. (Don't forget the brackets!)

 

Reflect C

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point A has been reflected in the mirror line to the point A'.

Write down the coordinates of D'. (Don't forget the brackets!)

 

Reflect D

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of A'.

 

Reflect A

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of B'.

 

Reflect B

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of C'.

 

Reflect C

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of D'.

 

Reflect D

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point B has been reflected in the mirror line to the point B'.  Notice that we count 3 diagonals from B as we move to this mirror line and then 3 diagonals beyond to get to B'.

Write down the coordinates of C'.

 

Reflect C

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point B has been reflected in the mirror line to the point B'.  Notice that we count 3 diagonals from B as we move to this mirror line and then 3 diagonals beyond to get to B'.

Write down the coordinates of D'.

 

Reflect D

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point B has been reflected in the mirror line to the point B'.  Notice that we count 3 diagonals from B as we move to this mirror line and then 3 diagonals beyond to get to B'.

Write down the coordinates of A'.

 

Reflect A

  • Question 1

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point A has been reflected in the mirror line to the point A'.

Write down the coordinates of B'. (Don't forget the brackets!)

 

Reflect B

CORRECT ANSWER
(4,2)
(4, 2)
EDDIE SAYS
Move point B directly to the mirror line and then the same distance beyond, which is four squares to the left at (4,2).
  • Question 2

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point A has been reflected in the mirror line to the point A'.

Write down the coordinates of C'. (Don't forget the brackets!)

 

Reflect C

CORRECT ANSWER
(4,8)
(4, 8)
EDDIE SAYS
Move point C directly to the mirror line and then the same distance beyond, which is four squares to the left at (4,8).
  • Question 3

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point A has been reflected in the mirror line to the point A'.

Write down the coordinates of D'. (Don't forget the brackets!)

 

Reflect D

CORRECT ANSWER
(2,8)
(2, 8)
EDDIE SAYS
Move point D directly to the mirror line and then the same distance beyond, which is eight squares to the left at (2, 8).
  • Question 4

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of A'.

 

Reflect A

CORRECT ANSWER
(10,10)
(10, 10)
EDDIE SAYS
Move point A directly to the mirror line and then the same distance beyond, which is eight squares up to (10, 10).
  • Question 5

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of B'.

 

Reflect B

CORRECT ANSWER
(8,10)
(8, 10)
EDDIE SAYS
Move point B directly to the mirror line and then the same distance beyond, which is eight squares up to (8, 10).
  • Question 6

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of C'.

 

Reflect C

CORRECT ANSWER
(8,7)
(8, 7)
EDDIE SAYS
Move point C directly to the mirror line and then the same distance beyond, which is two squares up to (8, 7).
  • Question 7

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

Write down the coordinates of D'.

 

Reflect D

CORRECT ANSWER
(10,7)
(10, 7)
EDDIE SAYS
Move point D directly to the mirror line and then the same distance beyond, which is two squares up to (10, 7).
  • Question 8

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point B has been reflected in the mirror line to the point B'.  Notice that we count 3 diagonals from B as we move to this mirror line and then 3 diagonals beyond to get to B'.

Write down the coordinates of C'.

 

Reflect C

CORRECT ANSWER
(5,8)
(5, 8)
EDDIE SAYS
Move point C directly to the mirror line and then the same distance beyond to (5, 8).
  • Question 9

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point B has been reflected in the mirror line to the point B'.  Notice that we count 3 diagonals from B as we move to this mirror line and then 3 diagonals beyond to get to B'.

Write down the coordinates of D'.

 

Reflect D

CORRECT ANSWER
(5,10)
(5, 10)
EDDIE SAYS
Move point D directly to the mirror line and then the same distance beyond, to (5, 10).
  • Question 10

Look at this diagram, which shows a rectangle ABCD, which is to be reflected in the mirror line to give rectangle A'B'C'D'.

The point B has been reflected in the mirror line to the point B'.  Notice that we count 3 diagonals from B as we move to this mirror line and then 3 diagonals beyond to get to B'.

Write down the coordinates of A'.

 

Reflect A

CORRECT ANSWER
(2,10)
(2, 10)
EDDIE SAYS
Move point A directly to the mirror line and then the same distance beyond to (2, 10).
---- OR ----

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