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Join 2D Shapes

In this worksheet, students will join simple 2D shapes together to make a compound shape. They will identify the matching shape from a selection.

'Join 2D Shapes' worksheet

Key stage:  KS 2

Curriculum topic:   Spatial and Non-Verbal Reasoning

Curriculum subtopic:   Joining 2D Shapes

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

Prepare to be a 2D shape builder!

 

Look at the shapes below:

 

 

In this question type, we need to join these two shapes together to make a new shape.

 

Matching letters have to touch, so, in this example, both the sides labelled a have to be touching each other.

 

Which of the following options would the new shape look like?

 

a)         b)         c) 

 

Did you choose option a?

If so, then you are correct!

 

The triangle lifts to go on top of the square.

Try and imagine the shapes moving together in your head.

 

Let’s try another one!

 

This time we have three shapes to join together.

Remember that matching letters must touch each other.

 

 

Here are the possible options:

 

a)         b)         c) 

 

The correct answer is c.

The triangle goes on the right side of the rectangle, and the trapezium goes on top of the rectangle.

 

It’s now your turn to join shapes together.

 

Good luck 2D shape builder!

Remember you can turn back to the introduction at any time if you get stuck.

 

 

Hi there, 2D shape builder!

We're glad you're here to help us put the 2D shapes in this activity together in their correct positions. 

 

Look at these two shapes:

 

 

We need to join these two shapes together to make a new, combined shape. 

 

Sides with matching letters have to touch. 

This means that both the sides labelled a have to be touching each other. 

 

Once the shapes have been joined together, which shape will be on top? 

The square

The triangle

Right detective, it's time for the building to begin now. 

 

Look at these two shapes from the previous question again:

 

 

What will these shapes look like once they've been joined together? 

 

Remember that both the sides labelled a must be touching each other




Look at these two shapes from the previous questions one more time:

 

 

Why are the other two options incorrect? 

 

Match each option to the best reason as to why it is not the correct answer. 

Column A

Column B

');" onmouseout="tooltip.hide();">a) <...
The triangle is under the square, rather than on t...
');" onmouseout="tooltip.hide();">c) <...
The triangle is to the right of the square, rather...

Here's a new pair of sneaky 2D shapes to consider in this case. 

 

Look at these two shapes:

 

 

We need to join these two shapes together to make a new, combined shape. 

 

Sides with matching letters have to touch. 

 

Once the shapes have been joined together, which shape will be on the bottom? 

The rectangle

The triangle

Right detective, it's time for the building to begin again. 

 

Look at these two shapes from the previous question again:

 

 

What will these shapes look like once they've been joined together? 

 

Remember that both the sides labelled a must be touching each other




Look at these two shapes from the previous questions one more time:

 

 

Why are the other two options incorrect? 

 

Match each option to the best reason why it is not the correct answer. 

Column A

Column B

');" onmouseout="tooltip.hide();">a)
The triangle is to the right of the rectangle, rat...
');" onmouseout="tooltip.hide();">b)
The triangle is a different type to the right-angl...

Here's your final pair of sneaky 2D shapes to consider in a new case. 

 

Look at these two shapes:

 

 

We need to join these two shapes together to make a new, combined shape. 

 

Once the shapes have been joined together, which shape will be on the bottom? 

The rectangle

The pentagon

Right detective, it's time for the building to begin on this final case. 

 

Look at these two shapes from the previous question again:

 

 

What will these shapes look like once they've been joined together?




Look at this pair of shapes again:

 

 

Now consider answer option a) from the previous question: 

 

 

Select the best reason why this option does not show the correct joining of these two shapes. 

The rectangle is under the pentagon, rather than above it.

The wrong side of the rectangle is touching the pentagon.

The wrong side of the pentagon is touching the rectangle.

Look at this pair of shapes for the final time:

 

 

Now consider answer option b) from the previous question: 

 

 

Select the best reason why this option does not show the correct joining of these two shapes. 

The rectangle is under the pentagon, rather than above it.

The rectangle is above the pentagon, rather than underneath it.

The rectangle is inside the pentagon, rather than underneath it.

  • Question 1

Hi there, 2D shape builder!

We're glad you're here to help us put the 2D shapes in this activity together in their correct positions. 

 

Look at these two shapes:

 

 

We need to join these two shapes together to make a new, combined shape. 

 

Sides with matching letters have to touch. 

This means that both the sides labelled a have to be touching each other. 

 

Once the shapes have been joined together, which shape will be on top? 

CORRECT ANSWER
The triangle
EDDIE SAYS
How did you get on with this first challenge, 2D builder? The bottom side of the triangle is labelled a and this needs to be touching the top side of the square, which is also labelled a. This means that the triangle will move on top of the square so that these sides are touching. Remember this important fact, it will help you to track down the new shape in the next mystery...
  • Question 2

Right detective, it's time for the building to begin now. 

 

Look at these two shapes from the previous question again:

 

 

What will these shapes look like once they've been joined together? 

 

Remember that both the sides labelled a must be touching each other

CORRECT ANSWER
EDDIE SAYS
As we noted in the previous question, the triangle must move above the square so that the two sides labelled a are touching. This makes option b the correct answer. Can you imagine the triangle moving on to the top of the square as a mini-animation in your head?
  • Question 3

Look at these two shapes from the previous questions one more time:

 

 

Why are the other two options incorrect? 

 

Match each option to the best reason as to why it is not the correct answer. 

CORRECT ANSWER

Column A

Column B

');" onmouseout="tooltip.hide();">a)
The triangle is under the square,...
');" onmouseout="tooltip.hide();">c)
The triangle is to the right of t...
EDDIE SAYS
To be excellent 2D shape detectives, we need to be able to identify incorrect options just as easily as correct ones. Option a shows the triangle positioned underneath the square, rather than on top of it. The image in option c has the triangle to the right of the square, rather than on top of it. In both of these options, the sides labelled a are not touching each other, which is a top clue to look for moving forwards, detective.
  • Question 4

Here's a new pair of sneaky 2D shapes to consider in this case. 

 

Look at these two shapes:

 

 

We need to join these two shapes together to make a new, combined shape. 

 

Sides with matching letters have to touch. 

 

Once the shapes have been joined together, which shape will be on the bottom? 

CORRECT ANSWER
The rectangle
EDDIE SAYS
Did you read this question carefully and notice that it asked which shape would be on the bottom? The bottom side of the right-angled triangle is labelled a and this needs to be touching the top side of the rectangle, which is also labelled a. This means that the rectangle will move underneath the triangle so that these sides are touching. Remember this important fact to help you track down the new shape in the next stage of this case...
  • Question 5

Right detective, it's time for the building to begin again. 

 

Look at these two shapes from the previous question again:

 

 

What will these shapes look like once they've been joined together? 

 

Remember that both the sides labelled a must be touching each other

CORRECT ANSWER
EDDIE SAYS
As the letter a is on the bottom edge of the triangle, it will need to jump on top of the rectangle to join with the other side labelled a. This makes option c the correct answer. Close your eyes and imagine the triangle moving on top of the rectangle as a mini-animation in your head - this is exactly what detectives do when they try to imagine how a crime took place. It's an important skill to have in your toolkit!
  • Question 6

Look at these two shapes from the previous questions one more time:

 

 

Why are the other two options incorrect? 

 

Match each option to the best reason why it is not the correct answer. 

CORRECT ANSWER

Column A

Column B

');" onmouseout="tooltip.hide();">a)
The triangle is to the right of t...
');" onmouseout="tooltip.hide();">b)
The triangle is a different type ...
EDDIE SAYS
Were you able to identify why these shape options were incorrect? In option a, the sides labelled a are not touching. If they were touching, the triangle would be on top of the rectangle, rather than to the right of it. Did you observe that the triangle in option b was a completely different shape to our original triangle? The first is a right-angled triangle, whilst option b shows an equilateral triangle, but they are in the correct position. Carry this great work into your next case, shape detective.
  • Question 7

Here's your final pair of sneaky 2D shapes to consider in a new case. 

 

Look at these two shapes:

 

 

We need to join these two shapes together to make a new, combined shape. 

 

Once the shapes have been joined together, which shape will be on the bottom? 

CORRECT ANSWER
The rectangle
EDDIE SAYS
Here we were asked which shape would end up on the bottom once they have been joined. The bottom side of the pentagon is labelled a and this needs to join to the top side of the rectangle, which is also labelled a. This means that the pentagon needs to fly on top of the rectangle, so that these sides are touching. A pentagon is the official name for any five-sided shape. Do you know what a six-sided shape is called? How about a seven-, eight-, nine- or ten-sided shape?
  • Question 8

Right detective, it's time for the building to begin on this final case. 

 

Look at these two shapes from the previous question again:

 

 

What will these shapes look like once they've been joined together?

CORRECT ANSWER
EDDIE SAYS
As the letter a is on the bottom edge of the pentagon, it will need to jump on top of the rectangle to join with the other side labelled a. This will look like option c. Let's move on to our final two questions, where you need to explain your reasons for ruling out the other two options as suspects...
  • Question 9

Look at this pair of shapes again:

 

 

Now consider answer option a) from the previous question: 

 

 

Select the best reason why this option does not show the correct joining of these two shapes. 

CORRECT ANSWER
The wrong side of the rectangle is touching the pentagon.
EDDIE SAYS
This joined shape looks a bit like a stop sign, doesn't it? Let's stop and consider why it is not the correct answer. The rectangle is underneath the pentagon, which is where it should be, but it has been rotated. This means that the wrong side of the rectangle is touching the bottom of the pentagon. Another way approach this would be to notice that the side labelled a on the pentagon is touching correctly, but not on the rectangle. Right detective, just one more problem for you to solve to complete this activity...
  • Question 10

Look at this pair of shapes for the final time:

 

 

Now consider answer option b) from the previous question: 

 

 

Select the best reason why this option does not show the correct joining of these two shapes. 

CORRECT ANSWER
The rectangle is inside the pentagon, rather than underneath it.
EDDIE SAYS
Here the rectangle has hidden inside the pentagon! This means that none of the sides labelled a are touching, so it definitely cannot be a correct answer. Well done for your excellent 2D shape-joining skills in this activity, detective! Now you are able to join regular 2D shapes by linking sides with the same letter.
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