What a compass is for
Tip still, pencil moves.
The sharp arm stays pressed in one spot. The pencil arm travels. Because the gap between them never changes, every mark the pencil leaves is the same distance from that spot.
📚 Chapter Learning Kit
Playing with Constructions · Class 6 Mathematics · Ganita Prakash
English 4 topics 116 leveled MCQs 60 flashcards 9 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
⚡ Veda Bites
💡 Key Idea
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💡 Key Idea
The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
Where a circle comes from
Same distance, every direction.
Mark point after point at one fixed distance from a chosen spot. They do not scatter. They line up into a smooth closed ring, and that ring is a circle.
Centre and radius
Two words hold a circle.
The chosen spot is the centre. The fixed distance is the radius. Name those two and you have described that circle completely, with nothing left to add.
What makes a rectangle
Two tests, not a picture.
The sides facing each other must come in equal pairs, and all four corners must be right angles. A figure that passes both is a rectangle, whatever it looks like at first glance.
What makes a square
Tighten one rule.
All four sides the same length, and all four corners right angles. Only the side rule differs from the rectangle test. The corner rule is word for word the same.
Every square is a rectangle
One way only.
Four equal sides certainly include two equal pairs, so a square passes the rectangle test. A rectangle of 9 cm by 2 cm shows that the reverse does not follow.
📖 Smart notes
What you'll study, topic by topic
1
Artwork with Curves and Lines
Meet the compass and learn what it really does: hold one distance steady while the pencil travels. That single habit gives circles, arcs and the curves inside a drawing.
- A curve is any line a pencil can trace on paper, and a straight line counts as one of them.
- A compass holds one distance while its pencil moves, so everything it draws is that far from the tip.
- All the points at a fixed distance from a fixed point form a circle.
~30 min · full explanation, examples & memory tricks in the app
2
Squares and Rectangles, and Constructing Them
Two tests decide whether a figure is a rectangle, and one more decides whether it is a square. Then the compass and ruler build them to any size you ask for.
- A rectangle has its opposite sides equal in length, and each of its four corners is a right angle.
- A square has all four sides the same length, and each of its four corners is a right angle.
- Every square passes both rectangle tests, so every square is also a rectangle.
~32 min · full explanation, examples & memory tricks in the app
3
Exploring Rectangles
Slide two points down the facing sides of a rectangle and watch the line between them shrink and grow. Then plan a rectangle that breaks into identical squares before drawing a single line.
- A point X can sit anywhere along one side of a rectangle, corners included, and Y anywhere along the facing side.
- When X and Y have slid the same distance down, the join XY is level and equals the side it runs beside.
- That level position is the closest the two points can be to each other.
~34 min · full explanation, examples & memory tricks in the app
4
Diagonals, and Points Equidistant from Two Points
Join the opposite corners of a rectangle and two matching lines appear, each cutting the other in half. The same compass idea then finds every point that is equally far from two given points.
- A diagonal joins a corner of a rectangle to the corner opposite it, and every rectangle has two of them.
- The two diagonals of a rectangle are equal in length, however long and thin the figure is.
- They cross at the centre and cut each other into halves, so all four half diagonals are equal.
~38 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
116 questions laddered from warm-up to topper-level, each with an explanation. A taste:
Meera marks dozens of points, each one 3 cm from a dot she has labelled K. What will her marks form?
Beginner
A A circle with K at its centre
B A straight line passing through K
C A square with K in one corner
D A curve that spirals away from K
Show answer & explanation
A circle with K at its centre
One fixed distance kept in every direction is exactly what makes a circle.
The distance from the centre of a circle to any point on it is called the ____.
Beginner
A corner
B radius
C border
D middle
Show answer & explanation
radius
That fixed distance is the radius, and it is the same wherever you measure it.
Which statement about a compass is true?
Beginner
A Both of its two arms travel along while the circle is being drawn
B It can only draw circles of one fixed size
C Its sharp tip stays in one place while the pencil sweeps round
D It measures angles rather than distances
Show answer & explanation
Its sharp tip stays in one place while the pencil sweeps round
The tip holds the centre still, so the gap between the arms never changes.
Farida wants a half circle that sits on a 10 cm piece of line. What should she set the compass to?
Intermediate
A 10 cm, matching the piece of line
B 20 cm, which is double the piece
C 1 cm, so that the bump stays small
D 5 cm, which is half the piece
Show answer & explanation
5 cm, which is half the piece
The bump spans the whole 10 cm, and its centre sits at the middle, so the radius is 5 cm.
🃏 Flashcards
Tap a card to flip it
60 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Memory Match
Sequence Builder
Fact Or Myth
Word Match
Fill Blank
Categorization
True False
Speed Quiz
Word Scramble
Playable in the app
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.