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Level 3-4 Shapes - Symmetry
Does a Jumbo jet have a plane of symmetry?

Level 3-4 Shapes - Symmetry

In your exciting KS3 Maths adventures, you've learned lots about shapes. Polygons have certain properties - angles, side lengths, perimeter and area. Some rules apply to all polygons, some are just for regular ones. There are also some properties which apply only to 3D shapes, like volume or capacity, and face numbers. Now, let's dive into a new property and discover the world of symmetry with this quiz!

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Think of lines of symmetry like magical reflections. Picture placing a mirror on a shape - if it has a line of symmetry, the mirror shows an exact copy. Try it out, it's like a fun game! The key is to mentally cut the shape in half with an imaginary mirror. Are both sides identical, or is one a bit 'lopsided'?

After your mirror adventures, test your knowledge of symmetry types with the quiz below. Take your time, think it through, and good luck!

1.
How many lines of symmetry does a square have?
1
2
4
None
One horizontal, one vertical and two diagonal lines
2.
What is the order of rotational symmetry of a rectangle?
0
1
2
3
A rectangle can be rotated about its centre into two positions and look exactly like the original rectangle. This is rotational symmetry
3.
Which of these numbers has a line of symmetry?
2
4
6
8
In fact it has two. You can draw a line vertically and another horizontally to see them more clearly
4.
Which statement describes the symmetry of a parallelogram?
0 lines of symmetry. Rotational symmetry of order 2
1 line of symmetry. Rotational symmetry of order 2
3 lines of symmetry. Rotational symmetry of order 1
1 line of symmetry. Rotational symmetry of order 3
Though you can't 'cut' a parallelogram into two reflective parts, you can rotate it to 'fit' in two positions
5.
An equilateral triangle has how many lines of symmetry?
1
3
6
9
One from each of its three angles
6.
How many lines of symmetry does an isosceles triangle have?
0
1
2
3
As two of its sides are of equal length then isosceles tringles have one line of symmetry
7.
How many planes of symmetry does a cube have?
0
3
6
9
Three of the planes run parallel to the faces of the cube, and the other six run diagonally from one edge to its opposite
8.
Does a Jumbo jet have a plane of symmetry?
Yes
No
It has two
It is a plane anyway
Think of two halves, separated by a vertical line running down the centre of the plane from nose to tail
9.
Which capital letter has the most lines of symmetry?
H
M
S
T
H has two, M and T have one, S has none
10.
What is the order of rotational symmetry of a kite?
1
2
3
4
Kites will only cover the same place in one position. If you rotate them less than 360o they will no longer fit the gap
You can find more about this topic by visiting BBC Bitesize - Symmetry

Author:  Frank Evans
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