A pair of compasses is a tool which can be used to draw circles and arcs. A pair of compasses is sometimes referred to just as a compass.

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

If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

An arc is part of a curve. An arc of a circle is part of the circle’s circumference.

Checking and securing understanding of accurate drawings

Maths

In the prior unit, pupils considered different views of a 3-D shape in order to understand how to calculate the surface area and volume. In this unit, pupils will be considering a 3-D shape from different viewpoints in order to draw the side and front elevations as well as the plan.

Plans and elevations

Jacob has got his pair of compasses ready to draw a circle. Which statements will be true?

Which triangle(s) are a correct drawing of the triangle in the sketch? You may assume that all measurements given are accurate.

Which set of side lengths are impossible to construct a triangle with?

△ABC is isosceles (but not equilateral).

A triangle is constructed using two circles. The centre of each circle is on the circumference of the other circle. Which statement is true about △ABC? 

A pair of {{ }} is a tool which can be used to draw circles and arcs. 

The {{ }} is any line segment that joins the centre of a circle to any point on its circumference.

An {{ }} is part of a curve or part of a circle’s circumference.

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