Given below are two pairs of statements.
Combine these two statements using if and only if.
p:If a rectangle is square, then all its four sides are equal.
q: If all the four sides of a rectangle are equal then the rectangle is a square.

Given below are two pairs of statements. Combine these two statements using if and only if. p: If the sum of digits of a number is divisible by 3, then the number is divisible by 3. q:If a number is divisible by 3, then the sum of its digits is divisible by 3.

Write down the contrapositive of the following statements.: If all three sides of a triangle are equal, then the triangle is equilateral.

Write down the converse of following statements: If a rectangle R is a square then R is a rhombus.

By giving a counter example, show that the following statements are not true. (i) p: If all the angles of a triangle are equal, then the triangle is an obtuse angled triangle.

Rewrite each of the following statements in the form p if and only if q: r: If a quadrilaterals equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Form the bicoditional statement phArrq . Where p: A triangle is an equilateral triangle. q: All three sides of a triangle are equal.

Write down the converse of following statements: If the sum of squares of two sides foa triangle is equal to the square of third side of a triangle, then the triangle is right angled.

Which of the following sentences are statements ? Justify Every square is a rectangle.

Find the component statements of the following compound statements: A rectangle is a quadrilateral or a 5 sided polygon.