Lines of symmetry of a rhombus

Step by step

The question

Question: how many lines of symmetry does a rhombus have?

1 Try the folds

Imagine folding the shape along a line.

If the two halves match exactly, it is a line of symmetry.

Fold along a diagonal.

The halves match: line 1.

Fold along a diagonal.

The halves match: line 2.

Fold through the middles of two opposite sides.

The corners do not meet.

It is not a line of symmetry.

2 Count the lines

We found 2.

So a rhombus has 2 lines of symmetry.

Careful!

A rhombus has 2: its diagonals.

Folds through the middles of its sides do not work.

3 Check

Let's check.

Fold along line 1: this corner lands on that corner.

Across this line too, each corner lands on a corner.

Every corner lands on a corner.

Right!

Let's look back.

First: try the folds.

Then: count the lines.

Last: check.