Understanding what makes a polygon regular (equal sides and angles) vs irregular, and naming polygons by number of sides.
Where your child meets this in real life: Identifying regular shapes in nature (honeycombs), design, and architecture
SEAGReady breaks understand polygons into 3 steps, taught in order so each skill builds on the last.
Identify which shapes are polygons and name polygons by their number of sides
Identify regular polygons by checking that ALL sides are equal AND ALL angles are equal
Classify polygons as irregular when sides are not all equal OR angles are not all equal, including edge cases
Three free sample questions from our understand polygons course. Every question comes with a full explanation, and hints that guide without giving the answer away.
Sean is sorting shapes for his maths homework. Which of these shapes are polygons: circle, triangle, hexagon, oval?
Answer: A. Triangle and hexagon
A polygon is a closed shape with only straight sides. - Circle: curved sides, NOT a polygon - Triangle: 3 straight sides, IS a polygon - Hexagon: 6 straight sides, IS a polygon - Oval: curved sides, NOT a polygon Answer: Triangle and hexagon
Stuck? Start here: What makes a shape a polygon? Think about the type of sides it has.
Conor notices that all the tiles in a Belfast cafe are hexagons with all 6 sides measuring 4 cm and all 6 angles measuring 120 degrees. Are these tiles regular hexagons?
Answer: A. Yes, because all sides are equal AND all angles are equal
For a polygon to be regular, TWO conditions must be met: 1. ALL sides must be equal length 2. ALL angles must be equal The cafe tiles: - All 6 sides are 4 cm (equal sides) - All 6 angles are 120 degrees (equal angles) Both conditions are met, so the tiles are regular hexagons.
Stuck? Start here: What two things must be true for a polygon to be regular?
Roisin draws a rectangle with sides 8 cm, 5 cm, 8 cm, 5 cm. All four angles are 90 degrees. Is the rectangle a regular polygon?
Answer: A. No, because not all sides are equal
For a regular polygon: 1. All sides must be equal - NO (8 cm and 5 cm are different) 2. All angles must be equal - YES (all 90 degrees) The rectangle has equal angles but NOT equal sides. It is an IRREGULAR polygon because one condition fails.
Stuck? Start here: For a regular polygon, BOTH sides AND angles must all be equal.
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Aoife is sorting shapes for a display at the Belfast Science Festival.
Which of these shapes are polygons: circle, triangle, hexagon, oval? Explain why.
polygon identification
Step 1 of 4
Aoife is sorting shapes for a display at the Belfast Science Festival.
Which of these shapes are polygons: circle, triangle, hexagon, oval? Explain why.
The triangle and hexagon are polygons because they have only straight sides.
The key insight: Polygon comes from Greek meaning 'many angles' - curved shapes have no angles!
Watch out: A circle is a polygon because it is a closed shape. Being closed is not enough. Polygons must have straight sides - circles have no straight sides at all.
These are the misconceptions we see most often in understand polygons, including the ones our practice questions are specifically designed to catch.
Struggling with understand polygons? The real gap is often in one of these earlier topics.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.