AI generatedGeometry and measuresKS3 / GCSE

Properties of a rhombus

Properties of a rhombus.

  • Use the stated properties and diagram markings, rather than judging by appearance.
  • Matching ticks mean equal lengths; matching arrows mean parallel lines.
  • A small square marks a right angle. Keep labels horizontal and include units.

Example 1

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
All four sides are 3 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

Example 2

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
All four sides are 4 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

Your turn

Question 1

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
All four sides are 5 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

Question 2

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
Check answer
All four sides are 6 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

Question 3

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
All four sides are 7 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

Question 4

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
Check answer
All four sides are 8 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

Question 5

The diagram is a rhombus. Find the unlabelled side lengths and state a useful angle property. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
All four sides are 9 cm. Opposite angles are equal; adjacent angles add to 180°.

Four equal sides; opposite sides are parallel and opposite angles are equal.

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