Diagonals of a rhombus | Maths | Quizalize & Oak National Academy

Starter quiz

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

'90 ' ✓
Match the type of triangle to the interior angles.

Scalene triangle

⇔

74°, 36° and 70° ✓

Isosceles triangle

⇔

28°, 124° and 28° ✓

Right-angled triangle

⇔

30°, 60° and 90° ✓

Equilateral triangle

⇔

60°, 60° and 60° ✓
How many lines of symmetry does a rhombus have?

0

1

2 ✓

3

4
The missing angle in this triangle is ______°.

'47' ✓
Select all of the properties of a rhombus.

It has three equal edges.

It has equal edges. ✓

It has four interior angles. ✓

It has one set of parallel sides.

Opposite angles are equal. ✓
Which of these is not a construction of a rhombus?

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

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

0

1 ✓

2

3
The diagonals of a rhombus ...

...are perpendicular to each other. ✓

...bisect each other. ✓

...are always equal in length.

...bisect the angle they pass through. ✓

...cannot be vertical or horizontal.
In this diagram of a rhombus and its diagonals, the angle marked b is ______°.

'116' ✓
Which of the following statements are true about this image?

$a=58+c$ ✓

$b = a + c$

$b=2a$

$\frac{b}{2}=58$ ✓

$b+c=180$
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?

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

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

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

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

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

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An isosceles triangle has a line of symmetry that splits it into two congruent triangles.
In a rhombus each diagonal splits the rhombus into two congruent isosceles triangles bisecting the angles.
The two diagonals meet at right angles.
The two diagonals bisect each other.

Pupils may struggle with a diagonal of a shape being vertical or horizontal.

By reminding pupils of the definition, ask them to check if it fits and the shape could be rotated as well.

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