Special Quadrilaterals Class 8 Maths Worksheet with Quiz and Activities
Work with special quadrilaterals: classify them, use their diagonals, solve angle problems and count diagonals of a hexagon. On WitKnowLearn you get the Special Quadrilaterals Class 8 online quiz, online activities and interactive games, a shape lab, a virtual lab and a worksheet-style practice sheet for Class 8 Maths.
Special Quadrilaterals Class 8 Online Quiz
20 questions: 10 easy, 5 average and 5 thinking. Tap an answer and the next question comes up.
Special Quadrilaterals Class 8 Activities
👆 Tap a tab to switch: Learn, Games, Labs, Challenges, Virtual Lab and Practice sheet
Special Quadrilaterals: Types, Diagonals and Convex Shapes
A short read for Class 8 before you play. These notes cover Special Quadrilaterals.
▱ Types of quadrilaterals
A trapezium has exactly one pair of parallel sides. A parallelogram has two pairs, with equal opposite sides and angles. A rhombus is a parallelogram with four equal sides, a rectangle has four right angles, and a square has both. A kite has two pairs of equal adjacent sides.
✖ Diagonals
The diagonals of a parallelogram bisect each other, those of a rectangle are equal, and those of a rhombus or a kite cross at right angles. A polygon with n sides has n(n - 3)/2 diagonals, so a hexagon has 9.
🪃 Convex and concave
In a convex polygon every interior angle is below 180 degrees. A concave polygon has at least one reflex angle that points inward, like an arrowhead. Angle and perimeter problems use adjacent angles adding to 180 in a parallelogram.
Special Quadrilaterals Class 8 Maths Activities
Follow every step on the Number Train. Earn up to 3 stars in every activity.
This page covers Special Quadrilaterals for Class 8 maths. It covers the trapezium, kite, parallelogram, rhombus, rectangle and square, their diagonals, angle and perimeter problems, and convex and concave polygons.
The activities are pitched at Class 8 level. Sort shapes by properties, count diagonals, find angles and draw the diagonals of a hexagon in the studio. Explore more Class 8 maths worksheets on WitKnowLearn after this chapter.
Key ideas and facts to know
| Shape | Sides | Diagonals |
|---|---|---|
| Rectangle | Opposite equal | Equal, bisect |
| Rhombus | All four equal | Cross at 90 |
| Kite | Adjacent pairs equal | Cross at 90 |
How to use this page
- Flip the six cards and try the Shape Lab in the Learn tab.
- Play the five games and the five labs to practise each idea.
- Finish the five challenges to collect up to 15 points.
- Do two virtual experiments and draw the diagonals of a hexagon in the studio.
- Take the 20-question online quiz, with assertion and reason and case study questions, and fill in the practice sheet.
Worked examples
n(n - 3)/2 = 35 gives n = 10.
360 - 260 = 100 degrees.
This Special Quadrilaterals worksheet for Class 8 science gives you online activities and interactive games that make the chapter clear. Every activity has a goal, a hint and a short fact, so students learn while they enjoy.
Complete Guide: Class 8 Maths Special Quadrilaterals
This guide is for Class 8 students, parents and teachers. It covers Special Quadrilaterals for Class 8 maths and shows how to use the quiz, labs and games on this page.
Introduction to Special Quadrilaterals
Special quadrilaterals each have their own sides, angles and diagonals. This topic shows how to tell them apart, count diagonals and solve angle and perimeter problems.
What is there in this chapter
- Trapezium and kite
- Parallelogram family
- Diagonals and their count
- Angle and perimeter problems
- Convex and concave polygons
Learning objectives
- Classify special quadrilaterals.
- Use properties of diagonals.
- Count diagonals of polygons.
- Solve angle and perimeter problems.
- Reason with assertions and case studies.
Learning outcomes
- I can classify a quadrilateral from its properties.
- I can count diagonals with a formula.
- I can find missing angles and perimeters.
Special Quadrilaterals Class 8 resources on this page
| Resource | What it gives |
|---|---|
| Online quiz | 20 questions: 10 easy, 5 average and 5 thinking, with assertion and reason and case study questions and a full review |
| Flip cards | 6 picture cards with one-line rules |
| Shape Lab | A hands-on lab with 3 rounds |
| Games | 5 interactive games |
| Labs | 5 activity labs |
| Virtual Lab | 2 experiments plus a studio that draws the diagonals of a hexagon |
| Challenges | 5 challenges, 15 points in all |
| Practice sheet | A worksheet-style sheet with 16 questions, name and date lines and a live score |
Key facts
| Idea | Rule |
|---|---|
| Trapezium | one pair parallel |
| Rhombus | four equal sides |
| Rectangle | equal diagonals |
| Kite | diagonals at 90 |
| Diagonals | n(n - 3)/2 |
Types of questions you may see
- Identify the shape
- Assertion and reason on diagonals
- Case study on a kite frame
- Angle and perimeter problems
Solved examples
8 × 5 / 2 = 20.
180 - 50 = 130 degrees.
Common mistakes
| Mistake | Correct idea |
|---|---|
| Calling every quadrilateral a parallelogram | Check both pairs of sides |
| Forgetting to halve the diagonal count | Each diagonal is counted twice |
| Mixing up rhombus and rectangle diagonals | Rhombus at 90, rectangle equal |
Special Quadrilaterals in daily life
Special quadrilaterals appear in kites, windows, tiles, bridges, fields and the frames of buildings.
Tips for parents and teachers
- Sketch the shape and mark equal sides.
- List the properties before naming it.
- Practise one assertion and one case study each week.
Related Class 8 Maths Worksheets
- 🔷Class 8 Maths Worksheet: Understanding Quadrilaterals
- 🧊Class 8 Maths Worksheet: Visualizing Solid Shapes
- ➕Class 8 Maths Worksheet: Algebraic Identities
- ⚖Class 8 Maths Worksheet: Linear Equations Word Problems
- 🧠Class 8 Maths Notes and Mind Maps
- 📚Class 8 Maths Worksheets, page 1
- 📚Class 8 Maths Worksheets, page 2
- 📚Class 8 Maths Worksheets, page 3
Special Quadrilaterals Class 8 FAQs
What is a trapezium?
A trapezium is a quadrilateral with exactly one pair of parallel sides.
How many diagonals does a polygon have?
A polygon with n sides has n(n - 3)/2 diagonals.
Is a square a rhombus?
Yes. A square has four equal sides, so it is a rhombus and also a rectangle.
What is a concave polygon?
A concave polygon has at least one interior angle greater than 180 degrees.
What can students do on this page?
Students can take a 20-question online quiz with assertion and reason and case study questions, play five games, try five online activities, finish five challenges, run the Shape Lab, do two virtual experiments, draw the diagonals of a hexagon in the hexagon and table views,, and fill in a 16-question practice sheet with a Show answers button.
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