Starter quiz
- What is 360 - 90?
- 170
- 250
- 260
- 270 ✓
- 280
-
- ______ is the process by which an object is changed into its image by moving, sliding, turning, flipping or stretching.
- 'Transformation' ✓
- When a vertex is labelled , it means the __________ of E.
- image ✓
- object
- orientation
- position
- transformation
-
- What does the term "invariant property" mean?
- A shape that hasn't changed location after a translation has been applied.
- A property of a mathematical object that hasn't changed after a transformation. ✓
- A property of a mathematical object that has changed after a transformation.
- A property of a vertex that moves after a transformation.
-
- Which properties are invariant when an object is translated?
- length of a side ✓
- size of an angle ✓
- position
- orientation ✓
- sense ✓
-
- Which of these shows an arrow that has been turned round?
Exit quiz
In which direction will this vehicle be facing when it is rotated so its wheels touch the road?- left
- right ✓
-
Which of these objects, when rotated by a quarter-turn, will fit into the space in this shape to complete a rectangle?
A
B ✓
C
D
- Complete this sentence: "When an object is rotated, the lengths of its sides are invariant. This means the lengths of the sides remain ______ ."
- 'the same' ✓
- Sam transforms an object and its orientation changes. Which of these describes why the orientation has changed?
- The object hasn't been rotated to become its image.
- The object has been translated right to become its image.
- The object has been rotated through a half turn to become its image. ✓
- Orientation always changes when objects are translated.
- Orientation always changes when objects are rotated by less than a full turn. ✓
-
Which of these is a rotation of this object?- Image 1
- Image 2 ✓
- Image 3 ✓
- Image 4
- Image 5 ✓
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The length of the lines do not change when rotated
- The angles inside an object do not change when rotated
- When an object is rotated, its image is congruent
- Unless a full rotation occurs, the object and its image will not have the same orientation
Common misconception
After an object has been rotated, the orientation stays the same if the image looks the same.
This is only true if the object is rotated through 360°. Otherwise, the orientation is different as each vertex is in a different position.
Keywords
Rotation - The rotation of an object is the turning of an object by a fixed amount and around a fixed point (called the centre of rotation).
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