AI generatedGeometry and measuresKey Stage 3

Properties of a square

Properties of a square.

  • 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 square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.

Example 2

The diagram is a square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.

Your turn

Question 1

The diagram is a square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.

Question 2

The diagram is a square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.

Question 3

The diagram is a square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.

Question 4

The diagram is a square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.

Question 5

The diagram is a square. 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; every angle is 90°.

Four equal sides; four right angles; both pairs of opposite sides are parallel.