EASY
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Find counter examples to disprove, every rectangle is a square.

Important Questions on Basic Concepts in Geometry

EASY

Prove that the sum of three consecutive even numbers is always a multiple of 6.

MEDIUM
Prove that 6n + 13  is an odd integer, where n is an integer.
EASY
Converse of the statement 'If x is an odd number, then x is prime' is
EASY
Prove that the sum of three successive even integers is always a multiple of 6.
EASY
Write the converse of the statement: "If two integers a and b are such that a>b, then a-b is always a positive integer".
MEDIUM
If p:A man is happy

q:A man is rich

Then, the statement, "If a man is not happy, then he is not rich" is written as
EASY
The converse of the statement:

"If sun is not shining, then sky is filled with clouds" is

MEDIUM

Write the following statement in conditional form.

A number having only two divisors is called a prime number.

MEDIUM

Write the converse of the following statement.

The diagonals of a rectangle are congruent.

EASY

If p: A man is happy

q: A man is rich

Then, the statement, "If a man is not happy, then he is not rich" is written as

EASY

State the converse and contrapositive of the following statement: 

If it is hot outside, then you feel thirsty.

MEDIUM
If p~pq is false, the truth value of p and q respectively are?
EASY
The converse of the statement, “if the weather is cold, it will snow” is
MEDIUM

Write the antecedent (given part) and the consequent (part to be proved) in the following statement.

If all sides of a triangle are congruent then it’s all angles are congruent.

EASY
If pqr is false, then the truth values of p,q,r are respectively?
MEDIUM

Write the following statement in ‘if-then’ form.

 In an isosceles triangle, the segment joining the vertex and the midpoint of the base is perpendicular to the base.

EASY
If p~pq is false, then the truth value of p and q are respectively is
EASY
Write the converse of the statement: "A positive integer is prime only if it has no divisors other than 1 and itself"