Find Rotations of Combined Shape

In this worksheet, students will join simple 2D shapes together to make a compound shape. Students will also 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!

Psst! 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

EDDIE SAYS
How did you get on with this first challenge, 2D builder? 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. Also, the left side of the square needs to join onto the right side of the rectangle. 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 d - 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?

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 right of the rectangle, like this: We now need to imagine this entire shape rotating. What would it look like if it were turned? 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

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 triangle needs to join the right side of the square, and the parallelogram needs to sit on top of the square. Can you visualise this image in your mind, detective? This will look like option b. 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?

EDDIE SAYS
Can you remember what the shapes looked like when they had been joined in the last question? The parallelogram was on top of the square, and the triangle was joined to the right of the square, like this: We now need to imagine this entire shape rotating. What would it look like if it were turned? It would look like option c. The trick is to always join the shapes first and then imagine rotating the image, to see which answer option matches.
• Question 5

​Look at this new group of shapes:

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

EDDIE SAYS
Did you imagine joining the matching sides here? The triangle needs to sit on top of the trapezium, (which is a four-sided shape with one pair of parallel sides), so that both the sides labelled a are touching. The rectangle needs to sit beneath the trapezium, so that both the sides labelled b are touching. This would look like option b. 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?

EDDIE SAYS
When our shapes were joined in the previous question, they made a rocket shape. Which of the four options looks like a rotated rocket? It's option b. The shapes have joined and then rotated clockwise to make this new image. We must rotate the image as a whole, rather than separate sections.
• Question 7

​Look at this new group of shapes:

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

EDDIE SAYS
Did you try and visualise the shapes moving together to join here? The square needs to move beneath the hexagon, so that the two sides labelled a are joined. Then, the triangle needs to join with the right-hand side of the square, so that both the sides labelled b are touching. This would look like option d. A top tip here, is to try not to move everything at once at this stage. Take it one shape at a time and build up the image in your mind as you go. 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?

EDDIE SAYS
Can you remember what the shapes looked like when they had been joined in the last question? The square was attached to the bottom of the hexagon and the triangle was attached to the right side of the square, like this: As the triangle does not touch the hexagon, we can rule out option d as a suspect immediately. Can you see how option c uses the wrong type of triangle? Now we need to decide between options a and b. Originally the square was under the hexagon and the triangle was joined to its right side, so this arrangement needs to be maintained as it turns. In option b, the hexagon and the square have rotated as expected, but the triangle is on the wrong side of the square. This means that option a is the correct answer.
• Question 9

​Look at this final group of shapes:

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

EDDIE SAYS
Did you use your shape-moving superpowers here? The triangle needs to sit on top of the rectangle, so that the sides labelled a are touching. Then the parallelogram has to slot onto the right, diagonal side of the triangle, so that the sides labelled b are touching. This makes option c the correct answer. Save this picture in your mind's eye to help you in your final building mission...
• 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?

EDDIE SAYS
Did you remember from the last question that the triangle was on top of the rectangle and the parallelogram was sitting on the left edge of the triangle? Imagine this entire shape rotating a quarter turn clockwise, and you will find that it looks like option b. You may have been caught out by option a as it looks very similar, but here the parallelogram is sitting on the rectangle, rather than the triangle. Great work practising those 2D building and rotation skills, detective! You can now join multiple shapes by matching sides with the same letters, and find rotations of this combined shape - now that's a cool superpower!
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