SEAGReady
Shape and SpaceP6 level21 questions in the full course

Understand PolygonsSEAG Practice Questions

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

What your child needs to know

SEAGReady breaks understand polygons into 3 steps, taught in order so each skill builds on the last.

  1. 1

    Identify and Name Polygons

    Identify which shapes are polygons and name polygons by their number of sides

  2. 2

    Regular Polygons

    Identify regular polygons by checking that ALL sides are equal AND ALL angles are equal

  3. 3

    Irregular Polygons

    Classify polygons as irregular when sides are not all equal OR angles are not all equal, including edge cases

Try these SEAG-style questions

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.

Question 1Confidence builder

Alfie is sorting shapes for his maths homework. Which of these shapes are polygons: circle, triangle, hexagon, oval?

Four closed shapes are shown: a circle, triangle, hexagon and oval.
Answer choices for question 1
Question 2Confidence builder

Aaron notices that all the tiles in a cafe are hexagons with all 6 sides measuring 4 cm and all 6 angles equal in size. Are these tiles regular hexagons?

A regular hexagon with the same tick on every side and matching arcs at all six angles.
Answer choices for question 2
Question 3Confidence builder

Poppy 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?

A non-square 8 cm by 5 cm rectangle with four right-angle markers.
Answer choices for question 3

Try the lesson: Identify and Name Polygons

This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.

A closed shape has 6 straight sides.

Is the shape a polygon, and what is its name?

Check the polygon rule
1

A polygon must be closed and have only straight sides

Step 1 of 3

Prefer to read? See every step written out

A closed shape has 6 straight sides.

Is the shape a polygon, and what is its name?

  1. 1

    Check the polygon rule

    • A polygon must be closed and have only straight sides
  2. 2

    Test and name the shape

    • The shape is closed and all 6 boundary segments are straight, so it is a polygon
    • It has 6 sides, so its specific name is hexagon

The shape is a hexagon and it is a polygon because it is closed and has only straight sides.

The key insight: A shape can be closed and still fail the polygon test: every boundary piece must be straight.

Common mix-up: 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.

Mistakes to watch for

These are the misconceptions we see most often in understand polygons, including the ones our practice questions are specifically designed to catch.

  • Thinking regular only means equal sides (angles must also be equal)
  • Not recognising irregular versions of shapes
  • Confusing polygon with any closed shape (polygons have straight sides)

Build these skills first

Struggling with understand polygons? The real gap is often in one of these earlier topics.

Describe Shape Properties

More shape and space practice

Name 2D ShapesLine Types and PropertiesClassify TrianglesClassify QuadrilateralsLines of SymmetryName 3D Shapes
21 questions on this topic alone

Master understand polygons and everything it unlocks

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.

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