Functional Skills: 2D Shapes
Functional Skills: 2D Shapes Revision
2D Shapes
This page contains the properties of different 2D shapes, apart from circles, which are on the circles page.
Symmetry
A line of symmetry splits a shape in half, where both halves are mirror images of each other. To test whether a shape has a line of symmetry, you could fold the shape along this line and if it was a line of symmetry, both sides would fold exactly over each other.
Some shapes, like a rectangle or a square, have more than one line symmetry.
Triangles
Triangles have 3 sides, and vary in name depending on the properties of the sides and angles.
Equilateral triangle:
- All sides are the same length
- All angles are the same size (60\degree)
- It has 3 lines of symmetry
Isosceles triangle:
- Two sides are the same length
- Two angles are the same size
- 1 line of symmetry
Scalene triangle:
- All sides are different lengths
- All angles are different sizes
- No lines of symmetry
Right-angled triangle:
- Scalene or isosceles
- Has one angle which is 90\degree
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Quadrilaterals
4-sided shapes are called quadrilaterals. These have lots of different properties.
Square:
- All 4 sides are the same length
- All angles are the same size (90\degree)
- Has 4 lines of symmetry
Rectangle:
- 2 pairs of equal sides
- All angles are the same size (90\degree)
- Has 2 lines of symmetry
Rhombus:
- All sides are the same length
- Opposite sides are parallel
- Opposite angles are equal
- Has 2 lines of symmetry
Parallelogram:
- 2 pairs of equal parallel sides
- Opposite angles are equal
- No lines of symmetry
Kite:
- 2 pairs of equal sides
- 1 pair of equal angles
- 1 line of symmetry
Trapezium:
- 1 pair of parallel sides
Functional Skills: 2D Shapes Example Questions
Question 1: How many lines of symmetry does the shape below have?
[1 mark]
This shape has 4 lines of symmetry.
Question 2: What is the angle labelled x?
[1 mark]
A kite has one pair of equal angles, so x=92\degree
Question 3: Abbie has drawn lines of symmetry on the shape below, is his diagram correct? Give a reason for your answer.
[1 mark]
Abbie’s diagram isn’t correct, the two diagonal lines of symmetry aren’t correct.
Functional Skills: 2D Shapes Worksheet and Example Questions
