Question 2 - Think and Reflect (Page 5) - Definition - Chapter 9 Class 9 - Propositions and their Converses (Ganita Manjari)

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Question 2 - Think and Reflect (Page 5) Give more examples from geometry as well as number theory in which a proposition is true but not its converse. Give appropriate counterexamples. Let’s take some examples True proposition False converse Counterexample If a quadrilateral is a square, then it is a rectangle. If a quadrilateral is a rectangle, then it is a square. A rectangle of dimensions cm is not a square If a triangle is equilateral, then it is isosceles. If a triangle is isosceles, then it is equilateral. A triangle with sides 5, 5, 6 is not equilateral If a positive integer is divisible by 10, then it is divisible by 5 . If it is divisible by 5, then it is divisible by 10. 15 is divisible by 5 but not by 10 If a positive integer is divisible by 4, then it is even. If it is even, then it is divisible by 4 . 6 is even but not divisible by 4

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