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Join Multiple Irregular Shapes

In this worksheet, students will join simple 2D shapes together to make a compound shape. Students will identify the matching shape, which may have been rotated, from a selection.

'Join Multiple Irregular 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 three 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 and both the sides labelled b have to be touching each other.

 

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

 

a)         b)         c)

 

The trick is to imagine joining all of the shapes together, and then try rotating the entire new shape, to see if it matches one of the options.

 

If we join all of the shapes together, without rotating anything, it would look like this:

 

 

As this doesn’t match any of the options, let’s try rotating it to see if we can match it to anything.

 

If it is rotated a quarter turn in an anti-clockwise direction, it looks exactly like option b - bingo!

 

So the correct answer is b.

 

 


 

Let’s try another example now.

This one is more challenging as there are four shapes to join.

 

Look at the shapes below:

 

 

What would this shape look like if all the correct letters were joined together?

 

a)         b)         c) 

 

Remember to join them all together first and then try to rotate it.

 

If we imagine putting all of the shapes together with the corresponding letters, our shape would look like this:

 

 

As this doesn’t match any of the options, let’s try rotating it to see if we can match it to anything.

 

If it is rotated 180 degrees, it looks exactly like option b - job done!

 

So the correct answer is b.

 

 


 

It’s now your turn to join shapes together.

 

Good luck 2D shape builder!

 


 

Pssstt!! Here’s a handy hint to help you reach superstar status:

Remember to join the shapes first and then try to rotate your new shape to match one of the options.

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 three shapes:

 

 

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

 

Remember that all the sides labelled with the same letters must be touching each other






Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated? 






​Look at this new group of shapes:

 

 

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

 

Remember that all the sides labelled with the same letters must be touching each other






Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?






​Look at this new group of shapes:

 

 

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






Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?






​Look at this new group of shapes:

 

 

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






Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?






​Look at this final group of shapes:

 

 

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






Here is our final trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?






  • 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 three shapes:

 

 

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

 

Remember that all the sides labelled with the same letters must be touching each other

CORRECT ANSWER
EDDIE SAYS
How did you get on with this first challenge, 2D builder? We need to join up the sides with matching letters. Both of the sides labelled a must join together here, plus both the sides labelled b. So the bottom edge of the triangle has to sit on top of the rectangle, so the sides labelled a are touching. The rectangle is wider than the base of the triangle, so the triangle can sit anywhere on this side. The square then needs to join with the left side of the triangle, so that the sides labelled b are touching. Use the powers of your mind to join the shapes together in this way in your head. Our final combined shape will look like option b - does that match the picture in your mind? Save this as a mental image, as this will help you solve the next mystery, detective...
  • Question 2

Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated? 

CORRECT ANSWER
EDDIE SAYS
Remember how we joined these shapes together in the previous question? The triangle was on top of the rectangle, and the square was joined to the left of the triangle, like this: We now need to imagine this entire shape rotating a quarter turn in an anti-clockwise direction. What would it look like if it were turned in this way? It would look like option a. Great job if you spotted this first rascally rotation, detective!
  • Question 3

​Look at this new group of shapes:

 

 

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

 

Remember that all the sides labelled with the same letters must be touching each other

CORRECT ANSWER
EDDIE SAYS
We need to join the sides with matching letters again here - the two letter a's and the two letters b's. The bottom of the square is labelled a, and needs to sit on the horizontal edge of the arrow which is also labelled a. The width of the square is greater than this line, so it will stick out a bit. The triangle then needs to sit on top of the square, so that the sides labelled b are also touching. Can you visualise this combined image in your mind, detective? This will look like option c. Save this picture in your mind's eye to help you in the next challenge as the shapes rotate...
  • Question 4

Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?

CORRECT ANSWER
EDDIE SAYS
Can you remember what the shapes looked like when they had been joined in the last question? We know that the square has to sit on the flat edge of the arrow-point so that it is overlapping, which eliminates options c and d as suspects immediately. The triangle has to sit on top of the square, which also rules out option e. So we just have option a and b to choose between. But b has not been rotated as the question has asked! This means that option a is the correct answer. Great deduction skills there, detective!
  • Question 5

​Look at this new group of shapes:

 

 

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

CORRECT ANSWER
EDDIE SAYS
Did you imagine joining the matching sides here? The shorter vertical side of the L-shape needs to join with the left side of the block arrow, so that both the sides labelled a are touching. The side of the block arrow is much shorter than the side of the 'L', so it can sit on any part of this line to be correct. We can eliminate option c as the block arrow is not joined to the correct side of the L-shape. The trapezium then needs to sit on top of the block arrow, so that both the sides labelled b are touching. We can rule out options a, b and d, as the trapezium is not on top of the block arrow in any of these options. This means that option e should be your prime suspect. Remember what this combined shape looks like to help you solve the next mystery...
  • Question 6

Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?

CORRECT ANSWER
EDDIE SAYS
We know that the block arrow was attached to the inside vertical edge of the L-shape, so this rules out option d immediately as its arrow is joined to the wrong side of the L. We also know that the long edge of the trapezium needs to join with the block arrow, which is not the case with options b, c and e. This leaves us with option a as the correct answer. Top tip: Always eliminate the obviously incorrect options first, as this will lead you to the correct answers quickly.
  • Question 7

​Look at this new group of shapes:

 

 

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

CORRECT ANSWER
EDDIE SAYS
Let's start by joining the sides labelled a together. Can you imagine the triangle moving to join with the bottom right diagonal of the arrow? The top of the rectangle also needs to join with the bottom of the triangle (both labelled b). If you follow this process through in your head, you will create a combined shape which looks like option b. Keep this image in your head to support you in the next challenge...
  • Question 8

Here is our trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?

CORRECT ANSWER
EDDIE SAYS
Can you remember what the shapes looked like when they had been joined in the last question? We joined the left diagonal edge of the triangle with the outer diagonal edge of the arrow, and then the rectangle sat underneath the triangle. If we rotate this entire image a quarter turn clockwise, it would look like option c.
  • Question 9

​Look at this final group of shapes:

 

 

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

CORRECT ANSWER
EDDIE SAYS
Let's start by joining the sides labelled a together, so the lower horizontal side of the arrow needs to sit on the horizontal edge of the three-quarter circle. Then the curved shape needs to join with the left edge of the three-quarter circle, so that the sides labelled b are touching. This makes option e the correct answer. Save this picture in your mind's eye to help you in your final building mission, detective...
  • Question 10

Here is our final trio of shapes from the previous question again:

 

 

What will these shapes look like once their matching letters have been joined and the entire new shape has been rotated?

CORRECT ANSWER
EDDIE SAYS
Did you remember from the last question that the curved shape was joined to the left side of the three-quarter circle, and the arrow was sitting on the horizontal cut-out of the circle? Imagine this entire shape rotating a quarter turn anti-clockwise, and you will find that it looks like option b. Great job on this activity, master builder! You can now join multiple irregular shapes by matching sides with the same letters, and find rotations of this combined shape. Remember that if the sides which are joining are of different lengths, then you can sit the shorter shape anywhere on the relevant side, so long as the sides have the same letters.
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