Shapes and symmetry

Identifying the symmetry of 2D shapes

Name: ______________________________Date: ______________Score: ______ / 20

1.
How many lines of symmetry does a square have?
2.
A regular pentagon has 5 sides. How many lines of symmetry does it have?
3.
Which shape has NO lines of symmetry but order 2 rotational symmetry?
1. Aa parallelogram
2. Ba rectangle
3. Ca kite
4.
What does 'order of rotational symmetry' mean?
1. Ahow many times a shape looks the same in one full turn
2. Bhow many lines of symmetry it has
3. Chow many sides it has
5.
Match each shape to its order of rotational symmetry.
Write the letter of the matching item in each box:
?square
?rectangle
?equilateral triangle
?kite
Aorder 2
Border 1
Corder 4
Dorder 3
6.
How many lines of symmetry does a rectangle have?
7.
A isosceles triangle has 1 line of symmetry.
True False
8.
A parallelogram has 0 lines of symmetry. What is its order of rotational symmetry?
1. A3
2. B2
3. C1
9.
What is the order of rotational symmetry of a isosceles trapezium?
10.
What is the order of rotational symmetry of a regular heptagon?
11.
How many lines of symmetry does a parallelogram have?
12.
A regular octagon has 8 sides. How many lines of symmetry does it have?
13.
A trapezium has 0 lines of symmetry. What is its order of rotational symmetry?
1. A1
2. B2
3. C0
14.
A regular hexagon has 6 lines of symmetry.
True False
15.
What is the order of rotational symmetry of a regular nonagon?
16.
What is the order of rotational symmetry of a equilateral triangle?
17.
A regular decagon has 10 sides. How many lines of symmetry does it have?
18.
How many lines of symmetry does a isosceles trapezium have?
19.
A isosceles triangle has 1 line of symmetry. What is its order of rotational symmetry?
1. A1
2. B2
3. C0
20.
A equilateral triangle has 3 lines of symmetry. What is its order of rotational symmetry?
1. A4
2. B3
3. C2

Answer key

Shapes and symmetry — Identifying the symmetry of 2D shapes

1.4
2.5
3.A. a parallelogram
4.A. how many times a shape looks the same in one full turn
5.square → order 4; rectangle → order 2; equilateral triangle → order 3; kite → order 1
6.2
7.True
8.B. 2
9.1
10.7
11.0
12.8
13.A. 1
14.True
15.9
16.3
17.10
18.1
19.A. 1
20.B. 3