Regular and irregular polygons
Regular and irregular polygons.
- 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
All sides and angles are equal.
A regular polygon must have both equal sides and equal interior angles.
Example 2
The top vertex has been moved inwards. The side lengths are no longer all equal.
A regular polygon must have both equal sides and equal interior angles.
Your turn
All sides and angles are equal.
Check answer
A regular polygon must have both equal sides and equal interior angles.
The top vertex has been moved inwards. The side lengths are no longer all equal.
Check answer
A regular polygon must have both equal sides and equal interior angles.
All sides and angles are equal.
Check answer
A regular polygon must have both equal sides and equal interior angles.
The top vertex has been moved inwards. The side lengths are no longer all equal.
Check answer
A regular polygon must have both equal sides and equal interior angles.
All sides and angles are equal.
Check answer
A regular polygon must have both equal sides and equal interior angles.
All sides and angles are equal.
AnswerA regular polygon must have both equal sides and equal interior angles.
The top vertex has been moved inwards. The side lengths are no longer all equal.
AnswerA regular polygon must have both equal sides and equal interior angles.
All sides and angles are equal.
AnswerA regular polygon must have both equal sides and equal interior angles.
The top vertex has been moved inwards. The side lengths are no longer all equal.
AnswerA regular polygon must have both equal sides and equal interior angles.
All sides and angles are equal.
AnswerA regular polygon must have both equal sides and equal interior angles.