Key learning points

1. A construction is an accurate drawing made using geometrical properties.
2. A scalene triangle can be constructed using intersecting circles with different radii.
3. An equilateral triangle can be constructed using intersecting circles with equal radii.
4. An isosceles triangle can be constructed using intersecting circles.

Common misconception

Keywords

• Scalene triangle - Scalene triangles have three different-sized angles and three edges of different lengths.

• Isosceles triangle - Isosceles triangles have two equal-sized angles. Two of the edges are equal in length.

• Equilateral triangle - Equilateral triangles have three equal-sized angles and three edges of equal length. They are regular triangles.

• Radius - The radius is any line segment that joins the centre of a circle to any point on its circumference.