# 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.