Shape and space · Ages 8–9

Symmetric shapes and lines of symmetry worksheet

Part of: Symmetry

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Shape and space · Ages 8–9

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.How many lines of symmetry does this flag have (the colours must match too)?
Answer:

2.Folded along the dashed line, the two halves of this shape match exactly.
True or false?
Answer:
3.The dashed line is a line of symmetry of this letter.
True or false?
Answer:
4.Which letter has a line of symmetry?
- A
- B
- C
- D
Choose the right picture
Answer:
5.What lines of symmetry does this letter have?
- A. None
- B. Only a flat one
- C. Both an upright and a flat one
- D. Only an upright one
Choose the right answer
Answer:
6.Which flag has a line of symmetry?
- A
- B
- C
- D
Choose the right picture
Answer:
7.Folded along the dashed line, the two halves of this shape match exactly.
True or false?
Answer:

8.A building beside Victoria Harbour has these 5 letters on its wall. At night they are reflected in the still water, upside down. How many letters look exactly the same in the reflection?
Working:
Answer:
9.At a carnival Ka-yee sees this row of flags. How many of the flags have a line of symmetry (shapes and colours matching when folded)?
Working:
Answer:
10.A shop sign has these 5 letters. Tsz-ching holds a card of each letter up to a mirror in turn (a mirror swaps left and right). How many letters look exactly the same in the mirror?
Working:
Answer:
11.At a carnival Tsz-ching sees this row of flags. How many of the flags have a line of symmetry (shapes and colours matching when folded)?
Working:
Answer:
12.At a carnival May sees this row of flags. How many of the flags have a line of symmetry (shapes and colours matching when folded)?
Working:
Answer:
13.A shop sign has these 5 letters. Ka-lok holds a card of each letter up to a mirror in turn (a mirror swaps left and right). How many letters look exactly the same in the mirror?
Working:
Answer:

Show the answers and working

Symmetric shapes and lines of symmetry worksheet: Answers and working

1. 1 line
Try each fold: upright middle, flat middle, and on a square flag both diagonals. The colours must match too.
Try each fold: the upright and flat middles, and on a square flag the diagonals too. Shape and colours match on 1 of them.

2. True
Imagine folding on the dashed line: are the two sides the same shape, or does any part stick out?
Imagine folding on the dashed line: if the two halves are the same shape and match exactly, it is a line of symmetry; if any part sticks out, it isn't.
3. True
Fold on the dashed line and check square by square whether the shaded squares on each side match.
Fold on the dashed line: only if the squares on the two sides match exactly is it a line of symmetry.
4. B
Try folding each letter, first on its upright middle line, then on its flat one. Do the halves match?
Try folding each on its upright and its flat middle line: only this one matches exactly.
5. C. Both an upright and a flat one
Fold on the upright middle first: do left and right match? Then on the flat middle: do top and bottom?
Folded on the upright middle, left matching right means an upright line; folded on the flat middle, top matching bottom means a flat one.
6. A
For each flag, try folding on the upright and flat middle lines. Pattern and colours must both match.
Try a flag's upright and flat middle lines: only this one matches in pattern and colour when folded.
7. True
Work out what shape it is, then imagine folding on this dashed line. Would any corner stick out?
A diagonal isn't always a line of symmetry: folded on one, a rectangle's or a parallelogram's corners stick out; a square's and a rhombus's diagonals are lines of symmetry.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

8. 1 letter
The reflection turns things upside down. Looking the same that way means a flat line of symmetry. Check each letter.
Looking the same upside down in the water means a flat line of symmetry: 1 letters have one.
9. 3 flags
For each flag, try the upright and flat middle lines (and a square flag's diagonals). Shapes and colours must match.
Try each flag's upright and flat middle lines (and a square flag's diagonals): 3 flags have a line of symmetry.
10. 2 letters
A mirror swaps left and right. Looking the same that way means an upright line of symmetry. Check each letter.
Looking the same with left and right swapped means an upright line of symmetry: 2 letters have one.
11. 2 flags
For each flag, try the upright and flat middle lines (and a square flag's diagonals). Shapes and colours must match.
Try each flag's upright and flat middle lines (and a square flag's diagonals): 2 flags have a line of symmetry.
12. 2 flags
For each flag, try the upright and flat middle lines (and a square flag's diagonals). Shapes and colours must match.
Try each flag's upright and flat middle lines (and a square flag's diagonals): 2 flags have a line of symmetry.
13. 1 letter
A mirror swaps left and right. Looking the same that way means an upright line of symmetry. Check each letter.
Looking the same with left and right swapped means an upright line of symmetry: 1 letters have one.

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