Write the following statement in five different ways, conveying the same meaning.
p: If a triangle is equiangular, then it is an obtuse angled triangle.

Rewrite the following statement with “if-then” in five different ways conveying the same meaning. If a natural number is odd, then its square is also odd.

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 quadrilateral is equiangular, then it is a rectangle and if a quadrilateral is a rectangle, then it is equiangular.

Write the contrapositive of the following statements : (i) if you born in india, then you are a citizen of India. (ii) If a triangle is equilateral, then it is isosceles.

Write down the contrapositive statements of the following statements i. if a number is divisible by 9, then it is divisible by 3 ii. If a triangle is equilateral, then it is isoceles.

Restate the following statements with appropriate conditions, so that they become true statements. In every triangle, a median is also an angle bisector.

If the angles of a triangle are in A.P., then the measure of one of the angles in radians is

If the sides of a right angled triangle are in A.P then the sines of the acute angles are