2D Shape Symmetry - How Many Lines of Symmetry

Level 2

This math topic is focused on the understanding of 2D shape symmetry, specifically recognizing how many lines of symmetry various geometric shapes possess. It offers problems related to different 2D shapes, such as hexagons, octagons, and triangles. Each question presents a shape and asks the learner to determine the number of lines of symmetry it has with multiple choice answers, enhancing skills in geometry, particularly in the area of shape classification and symmetry identification.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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2D Shape Symmetry - How Many Lines of Symmetry

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10

How many lines of symmetry does this Hexagon have?

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Teaching Transcript

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Are these shapes symmetric, and how many lines of symmetry do they have?

Symmetry means you can draw a line and one side of the line is a mirror image of the other. The butterfly has a left and right side that are identical, so it has one line of symmetry.

The rabbit has no way to draw a line where one side is the same as the other. So it is not symmetric and has zero lines of symmetry.

For this shape, there are 4 different ways to draw lines of symmetry that make one side identical to the other.

2D Shape Symmetry - How Many Lines of Symmetry Worksheet

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Math worksheet on '2D Shape Symmetry - How Many Lines of Symmetry (Level 2)'. Part of a broader unit on 'Geometry - Shape Classification (2D) - Intro' Learn online: app.mobius.academy/math/units/geometry_shapes_2d_classifying_intro/
1
How many lines of symmetry does this Pentagon have?
An svg image showing a math problem
a
1
b
6
c
14
d
3
e
5
f
10
2
How many lines of symmetry does this Octagon have?
An svg image showing a math problem
a
14
b
9
c
8
d
4
e
7
f
1
3
How many lines of symmetry does this Octagon have?
An svg image showing a math problem
a
13
b
3
c
6
d
4
e
8
f
5
4
How many lines of symmetry does this Octagon have?
An svg image showing a math problem
a
14
b
8
c
2
d
11
e
7
f
6
5
How many lines of symmetry does this Octagon have?
An svg image showing a math problem
a
5
b
16
c
2
d
17
e
8
f
1
6
How many lines of symmetry does this Octagon have?
An svg image showing a math problem
a
2
b
8
c
1
d
17
e
7
f
11
7
How many lines of symmetry does this Triangle have?
An svg image showing a math problem
a
0
b
3
c
2
d
10
e
5
f
4