True or false, with no third option
When is a sentence a proposition?
A proposition is a sentence you can call true or false.
↳ Ask whether the sentence can be true or false. If it cannot, it is not a proposition.
📚 Chapter Learning Kit
Propositions and their Converses · Class 9 Mathematics
English 3 topics 174 leveled MCQs 60 flashcards 4 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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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.
If X then Y, or X implies Y
Two ways to write the same thing
The part after 'if' is what you are given. The part after 'then' is what follows.
↳ Learn to spot which half is X and which is Y before doing anything else.
Swap the halves, keep the setting
What the converse actually is
The converse of 'if P then Q' is 'if Q then P'.
↳ Swap only the if-part with the then-part.
An argument has a direction
Where does an argument start?
To prove ‘if X then Y' you must begin at X and finish at Y.
Short steps, joined end to end
What is a chain?
Most arguments go X to A, A to B, B to Y.
A chain does not reverse on its own
Can you read it backwards?
‘B leads to Y' says nothing about Y leading back to B.
📖 Smart notes
What you'll study, topic by topic
1
Propositions, converses and counterexamples
A proposition is a sentence you can call true or false. Swapping the two halves of an 'if X then Y' proposition gives its converse, 'if Y then X' — a different statement, whose truth has to be settled separately. A singl…
~40 min · full explanation, examples & memory tricks in the app
2
Which statement an argument proves
An argument has a direction: it proves ‘if X then Y' only when it begins at X and ends at Y. The divisor-pairing argument shows how easily that is missed — it settles one direction and looks like it settles both. When bo…
~40 min · full explanation, examples & memory tricks in the app
3
The Baudhayana-Pythagoras theorem and its converse
The theorem runs from a right angle to $a^2 + b^2 = c^2$; its converse runs back the other way and has to be earned, by constructing a right triangle on the same two lengths and matching it with SSS. Because both directi…
~40 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
174 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A proposition is
Beginner
A any sentence at all
B always a true statement
C a question about numbers, which can be answered either way
D a sentence you can call true or false
Show answer & explanation
a sentence you can call true or false
There is no third option between true and false.
Which of these is NOT a proposition?
Beginner
A Draw the altitude from the third vertex
B Nine is a multiple of three
C Every square has four equal sides
D Seven is an even number
Show answer & explanation
Draw the altitude from the third vertex
It is an instruction, so it cannot be true or false.
Is a false statement still a proposition?
Beginner
A Only if it can be proved
B Yes, being false is one of the two options
C Only if somebody believes it to be true at the time
D No, propositions must be true
Show answer & explanation
Yes, being false is one of the two options
True or false — either qualifies.
In 'if $X$ then $Y$', the part after 'if' is
Beginner
A what follows at the end
B always the shorter half
C what you are given
D the conclusion of the argument
Show answer & explanation
what you are given
The 'then' part is what follows from it.
🃏 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.
Word Match
True False
Fill Blank
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.