Conditional Statements and Converse in Geometry

IMPORTANT

Conditional Statements and Converse in Geometry: Overview

This topic covers concepts such as the conditional statements, converse of a conditional statement, theorems, and postulates.

Important Questions on Conditional Statements and Converse in Geometry

MEDIUM
IMPORTANT

 The product of two even numbers is an odd number.

MEDIUM
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February has only 28 days. This statement is

EASY
IMPORTANT

If n is a whole number then 2n2+11 is a prime.

EASY
IMPORTANT

The sum of the two sides of a triangle is greater than the third side.

The mathematical statements for the given sentence is

EASY
IMPORTANT

On multiplying an integer by 1 we will get the same integer.

The mathematical statement for the given sentence is

MEDIUM
IMPORTANT

am×an=am+n, where a,m,nN

The given mathematical statement in words is

MEDIUM
IMPORTANT

~pq is logically equivalent to

EASY
IMPORTANT

A quadrilateral with all sides are equal is a square.

EASY
IMPORTANT

If n is a whole number then 2n2+11 is a prime.

EASY
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For any integers x and yx2+y2=x+y.

EASY
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Choose a number. Double it. Add nine. Add your original number. Divide by three. Add four. Subtract your original number. What was the number?

MEDIUM
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 The product of two even numbers is an even number.

MEDIUM
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 The sum of two odd numbers is even.

MEDIUM
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In an _____ triangle, a median is also an angle bisector. (equilateral, scalene)

MEDIUM
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All numbers can be represented in prime factorization.

MEDIUM
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It is _____ to say that, February has only 28 days (true, false, ambiguous)

HARD
IMPORTANT

Prove the following theorem.

The perpendicular from the centre of the circle to a chord bisects the chord.