Class 3 to 10 · 95 games

Shapes and angles, explained with pictures

Sorting shapes by their sides, and measuring the turn at a corner.

In everyday life: Floor tiles, a rangoli pattern, the corner of a page, the hands of a clock.

Shapes are named by how many sides they have

Three sides is a triangle, four is a quadrilateral, five a pentagon, six a hexagon. Stretching or turning a shape does not change its name.

Triangle: 3 sides
Pentagon: 5 sides
Hexagon: 6 sides

An angle measures a turn, not a length

A square corner is a right angle, 90 degrees. Less than that is acute, more is obtuse. Long arms drawn on a small angle do not make the angle bigger.

40°
Acute: less than 90
90°
Right angle: exactly 90
130°
Obtuse: more than 90

The three angles of any triangle add to 180 degrees

Any triangle at all — thin, wide, tilted. So if you know two angles, the third one is already decided.

A worked example

A triangle has angles of 90 and 30 degrees. What is the third?

60°
The missing 60 degrees

60 degrees

All three must add to 180. 90 + 30 is 120, and 180 - 120 leaves 60.

Words to know

polygon
A closed shape made of straight sides.
right angle
A square corner. Exactly 90 degrees.
line of symmetry
A fold line where both halves match exactly.

In the games

You will sort shapes by their sides, say whether an angle is acute, right or obtuse, and estimate the size of a turn.

Skills

  • Classify polygons by sides · Class 4
  • Acute, right and obtuse angles · Class 5
  • Lines of symmetry · Class 5
  • Estimate an angle · Class 5
  • Rotational symmetry and the turn · Class 6
  • Angle sum of a triangle · Class 7
  • Triangle inequality and Pythagoras · Class 7
  • Angles of a quadrilateral · Class 8
  • Lines, angles and a transversal · Class 9
  • Congruent triangles · Class 9
  • Quadrilaterals and the midpoint theorem · Class 9
  • Angles in a circle · Class 9
  • Similar triangles and the proportionality theorem · Class 10
  • Tangents to a circle · Class 10

By class

Grade 6 · GeometryWhy do a triangle's angles add up to 180°?

Practise shapes and angles in Tivumo

No download, no account for your child. Classes 3 to 12, more than 1,000 games.