Transformations Level 5Practise your ability to draw reflections, rotations, translations and enlargements online. 
This is level 5; Transform a shape by a given matrix. Click on coordinates to draw your image.
Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]

Show the image of the shape above after a transformation by the matrix [1 00 1]



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Which Transformation?  This is an easy exercise to begin with asking you to recognise some very simple transfomations.
Level 1  Reflect a shape in a given line
Level 2  Translate a shape by a given vector
Level 3  Rotate a shape about a given point by a given angle
Level 4  Enlarge a shape from a given point by a given scale factor
Level 5  Transform a shape by a given matrix
Level 6  Mixed questions without diagrams
Level 7  Describe the transformation from the diagrams
Exam Style questions are in the style of GCSE or IB/Alevel exam paper questions and worked solutions are available for Transum subscribers.
There is a printable worksheet to go with this activity.
Finally try Blow Up, a clallenge to find all the points that could be the centre of enlargement of a shape if the image does not go off the grid. Great fun!
Click on the points where the gridlines meet to select a point. When you have selected the number of points required to complete the diagram a 'Check' button will appear.
You can select the 'Show' button if you don't know how to do a question. Refresh the page when you think you understand and try for yourself.
You can earn a Transum trophy for each level if you get at least nine questions correct.
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Monday, January 16, 2023
"If you having difficulties when you get to Level 3 Rotations you are not alone. Rotations are difficult without using tracing paper to help. I stumbled across this video on YouTube in which George Turner shows the windmill method:
https://www.youtube.com/watch?v=2gxBoGJv5u4 "