To bisect means to cut or divide an object into two equal parts.

The altitude of a triangle is a line segment from a vertex of a triangle to the opposite edge. It is perpendicular to that edge.

Diagonals of a rhombus

Maths

Checking compass skills

Securing the skill of using a pair of compasses

Understanding constructing a circle

Constructing triangles

Constructing rhombi

Bisecting an angle

Perpendicular bisector of a line segment

Perpendicular to a given line through a given point

Problem solving with constructions

The constructions covered in this unit are built on in the future unit. In the future unit, pupils construct triangles and construct diagrams following specific restrictions.

The prior unit gave pupils the opportunity to explore polygons and begin to generalise their understanding of interior/exterior angles in regular polygons. In this unit, pupils will use the geometrical properties of a rhombus to perform various constructions. 

In this unit we develop skills in using a pair of compasses and ruler to construct various accurate shapes and angles including triangles, rhombi, perpendicular lines and angle bisectors.

Constructions

To {{ }} means to cut or divide an object into two equal parts. 

How many of the altitudes of an isosceles are also a line of symmetry?

In this diagram of a rhombus and its diagonals, the angle marked b is {{ }}°.

Which of the following statements are true about this image?

$$2\times\left(\frac{1}{2}\times8\times12\right)$$

$$2\times\left(\frac{1}{2}\times4\times12\right)$$

$$2\times\left(\frac{1}{2}\times4\times6\right)$$

$$4\times\left(\frac{1}{2}\times4\times6\right)$$

$$2\times\left(\frac{1}{2}\times8\times6\right)$$

A rhombus has diagonals with lengths of 8 cm and 12 cm. Which of the following calculations will work out the area of the rhombus?

If two lines are perpendicular to each other then they create a {{ }} $$^\circ$$ angle.

Match the type of triangle to the interior angles.

How many lines of symmetry does a rhombus have?

The missing angle in this triangle is {{ }}°.

Select all of the properties of a rhombus.

Which of these is not a construction of a rhombus?

Diagonals of a rhombus

Lesson outcome