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

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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
The converse of the statement, “if the weather is cold, it will snow” is
HARD
Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?
MEDIUM
If p, q and r are simple propositions with truth values T , F and T, respectively, then the truth value of ~pq~rp is
MEDIUM

Write the following statement in conditional form.

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

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 pqr is false, then the truth values of p,q,r are respectively?
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 converse of the following statement.

The diagonals of a rectangle are congruent.

EASY
If p~pq is false, then the truth value of p and q are respectively is
MEDIUM

Draw a labelled figure showing information of the following statement and write the antecedent and the consequent.

Two equilateral triangles are similar.

 

EASY
Write the converse of the statement: "A positive integer is prime only if it has no divisors other than 1 and itself"
EASY
The statement "If x2 is not even, then x is not even" is the converse of the statement