# Identify the Matching Rotated 2D Shape

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.

Key stage:  KS 2

Curriculum topic:   Spatial and Non-Verbal Reasoning

Curriculum subtopic:   Joining 2D Shapes

Difficulty level:

### 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 correct answer is c, as the triangle moves to the right of the rectangle and the trapezium goes on top of the rectangle.

Let’s try another question now.

This time it is more challenging, as the shape can rotate.

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.

Here are the possible options:

a)         b)         c)

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.

It’s now your turn to join shapes together.

Good luck 2D shape builder!

Pssst! 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:

We need to join these 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, as do both the sides labelled b

Once the shapes have been joined together, where will the square be?

On the top

In the middle

On the left

On the bottom

Now it's time to join our three shapes from the previous question together.

Look at these three shapes 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, plus both the sides labelled b

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

Look at these three shapes:

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

Sides with matching letters have to touch.

Once the shapes have been joined together, where will the square be?

On the top

In the middle

On the bottom

On the left

Now it's time to join our three shapes from the previous question together.

Look at these three shapes 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, plus both the sides labelled b

Look at these three new shapes:

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

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

The rectangle

The arrow

The circle

The square

Now it's time to join our three shapes from the previous question together.

Look at these three shapes again:

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

Look at this fresh trio of shapes:

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

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

The rectangle

The square

The arrow

The circle

Now it's time to join our three shapes from the previous question together.

Look at these three shapes again:

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

Look at this final trio of shapes:

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

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

The pair of rectangles

The arrow

The triangle

The rectangle

Now it's time to join our three shapes from the previous question together.

Look at this final trio again:

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

• 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:

We need to join these 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, as do both the sides labelled b

Once the shapes have been joined together, where will the square be?

On the top
EDDIE SAYS
How did you get on with this first challenge, 2D builder? The bottom side of the square is labelled b and so is the top side of the trapezium. This means that these two sides need to be joined, so the square will move on top of the trapezium. Can you imagine this movement in your head? The top side of the rectangle is labelled a and so is the bottom side of the trapezium. This means that the rectangle needs to move below the trapezium. After the three shapes have been joined together in this way, the square will be on the top. Keep a mental image of how these shapes are joined to help you identify your prime suspect in the next challenge...
• Question 2

Now it's time to join our three shapes from the previous question together.

Look at these three shapes 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, plus both the sides labelled b

EDDIE SAYS
In the previous question, we deduced that the square would move on top of the trapezium, so that both the sides labelled b are touching. The top side of the rectangle (labelled a) will join with the bottom side of the trapezium. This means that our final combined shape will look like option c. Can you imagine the shapes moving into these positions in your head? You can always sketch the shapes on a piece of rough paper if you find this helpful at this stage.
• Question 3

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

Look at these three shapes:

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

Sides with matching letters have to touch.

Once the shapes have been joined together, where will the square be?

On the bottom
EDDIE SAYS
We need to imagine joining these shapes together so that we can picture where the square will be positioned. The bottom side of the triangle (labelled a) will join with the top side of the parallelogram, whilst the top side of the square (labelled b) will join with the bottom side of the parallelogram. Did you visualise the shapes moving in your head to help you? This is an essential detective's skill which you need to try and develop over time. Remember the position of these shapes to help you in your next mission...
• Question 4

Now it's time to join our three shapes from the previous question together.

Look at these three shapes 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, plus both the sides labelled b

EDDIE SAYS
Did you notice something strange and sneaky about options c and d? The triangles shown in these options are completely different! They both use a right-angled triangle to build with, rather than an equilateral triangle - very sneaky! This means that we can rule these two suspects out immediately. The square needs to move beneath the parallelogram, so that the sides labelled with a letter b are touching. This means that option b must be our correct answer. We can double-check by ensuring that the sides labelled with a letter a are touching, which they are, as the bottom edge of the triangle is touching the top edge of the parallelogram. Great shape building so far, detective, keep it up!
• Question 5

Look at these three new shapes:

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

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

The square
EDDIE SAYS
We need to join together the sides with matching letters. The square needs to fly over the arrow so that its right side can be joined with the left side of the arrow (both labelled a). The rectangle will slide below the arrow to join with its long, flat lower edge (both labelled b). Can you imagine all three shapes joined in your mind's eye? The square will be on the left when they have been joined. Keep your detective's eyes peeled to find out what these shapes will look like after they have been joined in our next challenge...
• Question 6

Now it's time to join our three shapes from the previous question together.

Look at these three shapes again:

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

EDDIE SAYS
In the last question, we worked out the the square will be on the left of the final arrangement. This rules out options c and d as the correct answers. The top side of the rectangle needs to join with the bottom side of the arrow (both labelled b). This would mean that option a is the correct answer. Keep up the excellent shape-joining, 2D builder - you're beyond halfway through!
• Question 7

Look at this fresh trio of shapes:

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

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

The square
EDDIE SAYS
If we join the two sides labelled a together, the square would move on top of the hexagon. The triangle would then slot in on the right-hand side of the hexagon. Can you imagine these shapes moving in your head? Keep training those shape-moving superpowers of yours - they are growing in strength!
• Question 8

Now it's time to join our three shapes from the previous question together.

Look at these three shapes again:

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

EDDIE SAYS
In the last question, the square will be attached on top of the hexagon. Be careful though detective as images can rotate! This knowledge doesn't help us as all of the images depict the triangle attached to one side of the hexagon. We need to picture where the triangle will end up. The left side of the triangle (labelled b) will join with the bottom, right side of the hexagon. But careful, we had to flip the image to identify that option c was the correct answer. Did you imagine what this combined shape would look like in your head or did you draw it out on paper? You just have one more trio of suspects to join now, detective - nearly there!
• Question 9

Look at this final trio of shapes:

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

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

The triangle
EDDIE SAYS
Here we have a pair of rectangles (which look like an equals sign) already in an arrangement, plus an arrow and a triangle. It's really important to remember that when we are presented with more than one shape which have already been placed in an arrangement (as with the equals sign here), we cannot move the shapes separately as they must be kept together. If we join the two sides labelled a together, the arrow will join to the right side of the top rectangle in the equals sign. The bottom side of the triangle needs to move on top of the upper rectangle of the equals sign. This means that the triangle will be the upper-most shape in the arrangement. Save this mental image of the joined shapes in your head to help you crack your final case...
• Question 10

Now it's time to join our three shapes from the previous question together.

Look at this final trio again:

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

EDDIE SAYS
Did you find the correct version of our final joined shapes here? The triangle needs to move on top on the equals sign. There are triangles on the top in all four options, but did you spot that the triangles in option b and d are different to the triangle provided in the question? The arrow needs to join with the top, right side of the equals sign, which makes option c the correct answer. Great job on all your excellent 2D shape-joining skills in this activity, detective! You can now visualise moving up to three regular and irregular shapes in your head and matching up to two pairs of sides with the same letters - that's great progress!
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