AI generatedGeometry and measuresKS3 / GCSE

Properties of a trapezium

Properties of a trapezium.

  • 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 trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
AB and CD are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

Example 2

The diagram is a trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
PQ and RS are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

Your turn

Question 1

The diagram is a trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
AB and CD are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

Question 2

The diagram is a trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
Check answer
PQ and RS are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

Question 3

The diagram is a trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
AB and CD are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

Question 4

The diagram is a trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramPQRSDiagram not to scale
Check answer
PQ and RS are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

Question 5

The diagram is a trapezium. State the parallel sides. All lengths are in cm.

Geometry diagramABCDDiagram not to scale
Check answer
AB and CD are parallel. The other sides need not be parallel.

One pair of parallel sides. An isosceles trapezium also has equal non-parallel sides.

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