Checking understanding of basic transformations | Maths

Starter quiz

Which is bigger: 4.2 cm or 4 cm?
- 4.2 cm ✓
- 4 cm
In this triangle, the largest interior angle is located at which vertex?
- A
- B ✓
- C
A half turn means __________ $^{\circ}$
- ${90^{\circ}}$
- ${180^{\circ}}$ ✓
- ${270^{\circ}}$
Match the edges to the correct lengths.
- QP
  
  ⇔
  
  4.9 cm ✓
- PS
  
  ⇔
  
  5.4 cm ✓
- RQ
  
  ⇔
  
  3.3 cm ✓
- SR
  
  ⇔
  
  5.8 cm ✓
Select all the quadrilaterals.
- square ✓
- rectangle ✓
- pentagon
- triangle
- trapezium ✓
The vertices in the quadrilateral PQRS has been labelled in the ______ direction.
- 'anticlockwise' ✓

A transformation is a process that may change the size, orientation or ______ of a shape.
- 'position' ✓
This L shape is flipped over once, which of these could be the image?
The quadrilateral ABCD is transformed. How should the image of vertex A be labelled?
- 'A'' ✓
Which of these show a pair of congruent shapes?
Regardless of whether an object is flipped, twisted or moved which properties are invariant?
- angles ✓
- lengths ✓
- orientation
- position
- mirrored
Which figure does this description match: The object has been twisted half a turn.

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Students may believe two shapes are congruent based purely on the shape and not the size as well.

Consider squares - all squares have the same angles and are visually identical but if the lengths are different they're not congruent.

Object - The object is the starting figure before a transformation has been applied.
Image - The image is the resulting figure after a transformation has been applied.
Transformation - A transformation is a process that may change the size, orientation or position of a shape.
Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.
Invariant - A property of a shape is invariant if that property has not changed after the shape is transformed.