Learning Materials

Structured explanations, one concept at a time.

Vocabulary and Properties of 2-D Shapes

Two dimensional shapes have specific names and properties that describe their sides, angles and symmetry. Knowing this vocabulary allows shapes to be identified, compared and described accurately.

 

 

Triangles

A triangle is a polygon with three sides and three angles.

 

• A scalene triangle has all sides and angles different
• An isosceles triangle has two sides equal and two angles equal
• An equilateral triangle has all sides equal and all angles equal
• A right angled triangle has one angle equal to a right angle

 

Triangles always have interior angles that add up to a straight angle.

 

Types of triangles

 

 

Quadrilaterals

A quadrilateral is a polygon with four sides.

 

• A square has four equal sides and four right angles
• A rectangle has opposite sides equal and four right angles
• A parallelogram has opposite sides equal and parallel (opposite side-pair 1 may have different lengths to opposite side-pair 2)
• A rhombus has four equal sides but angles are not necessarily right angles 
• A kite has two pairs of adjacent equal sides
• A trapezium has one pair of parallel sides

 

Different quadrilaterals share properties, but each has defining features that make it unique.

 

Types of quadrilaterals

 

 

Polygons

A polygon is a closed shape made from straight line segments.

 

Examples include:
pentagon with five sides
hexagon with six sides
octagon with eight sides

 

A regular polygon has all sides equal and all angles equal.

 

An irregular polygon does not have all sides and angles equal.

 

Polygon examples

 

 

Circles

A circle is a curved shape where every point on the edge is the same distance from the centre.

 

Important circle vocabulary includes:

radius which is the distance from the centre to the edge
diameter which is twice the radius and passes through the centre
circumference which is the distance around the circle
tangent which is a straight line that touches the circle at exactly one point
chord which is a straight line joining two points on the circumference
arc which is part of the circumference
sector which is a region formed by two radii and an arc
segment which is a region between a chord and an arc

 

Each part describes a different feature of the circle.

 

Terms of circles

 

 

Key Points to Remember

Two dimensional shapes are classified by sides and angles.
Triangles and quadrilaterals have distinct named types.
Polygons are closed shapes with straight sides.
Regular shapes have equal sides and angles.
Circles have specific parts with precise definitions.

 

Using correct vocabulary and understanding properties allows you to identify and describe 2-D shapes clearly and confidently.