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Symmetry Practice Problems with Solutions - IGCSE Year 7

IGCSE Year 7 | Math | Symmetry
Name: _________________________ Date: _________________________ Score: _______ / 40

A square has four lines of symmetry and a rectangle has two, so this Year 7 sheet opens by counting the fold lines of the two quadrilaterals. The answers record infinitely many for a circle and 3 for an equilateral triangle.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. The number of lines of symmetry of a square is
(a) 2(b) 3(c) 4(d) 1
2. The number of lines of symmetry of a rectangle is
(a) 2(b) 4(c) 1(d) 0
3. The number of lines of symmetry of a circle is
(a) 0(b) 1(c) Infinitely many(d) 4
4. The number of lines of symmetry of an equilateral triangle is
(a) 1(b) 2(c) 3(d) 0
5. Which of the following letters has a vertical line of symmetry?
(a) A(b) G(c) F(d) R
6. Which of the following shapes has rotational symmetry of order 2?
(a) Rectangle(b) Equilateral triangle(c) Scalene triangle(d) Regular pentagon

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. How many lines of symmetry does a square have?
8. How many lines of symmetry does a rectangle have?
9. How many lines of symmetry does a circle have?
10. Define a line of symmetry.
11. Does a scalene triangle have any line of symmetry?
12. How many lines of symmetry does an equilateral triangle have?
13. Write the order of rotational symmetry of a regular pentagon.
14. Does the letter Z have a line of symmetry?

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. State the number of lines of symmetry of a regular hexagon.
16. A shape has rotational symmetry of order 3. How many times does it look exactly the same in one full turn?
17. Which of the letters B, E, K and H has two lines of symmetry?
18. Find the order of rotational symmetry of a rectangle.
19. How many lines of symmetry does a regular octagon have?
20. The letter O has infinitely many lines of symmetry. True or false?

Answer Key

1. c) 4
2. a) 2
3. c) Infinitely many
4. c) 3
5. a) A
6. a) Rectangle
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
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15. Refer to solution guide.
16. Refer to solution guide.
17. Refer to solution guide.
18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet

People Also Ask

How many lines of symmetry does a square have?

4, option (c) in this worksheet (Q1).

How many lines of symmetry does a rectangle have?

2, option (a) in this worksheet (Q2).

How many lines of symmetry does a circle have?

Infinitely many, option (c) in this worksheet (Q3).

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