Write down the converse of following statements.(i) If a rectangle lR�

1.	Write down the converse of following statements.(i) If a rectangle lR’ is a square, then R is a rhombus.(ii) If today is Monday, then tomorrow is Tuesday.(iii) If you go to Agra, then you must visit Taj Mahal.(iv) If sum of squares of two sides of a triangle is equal to the square of third side of atriangle, then the triangle is right angled.(v) If all three angles of a triangle are equal, then the triangle is equilateral.(vi) If x : y = 3 : 2, then 2x = 3y.(vii) If S’ is a cyclic quadrilateral, then the opposite angles of S are supplementary.(viii) If x is zero, then x is neither positive nor negative.(ix) If two triangles are similar, then the ratio of their corresponding sides are equal.
Answer» (i) If the rectangle ‘S’ is rhombus, then it is square. (ii) It tomorrow is Tuesday, then today is Monday. (iii) If you must visit Taj Mahal, you go to Agra. (iv) If the triangle is right angle, then the sum of squares of two sides of a triangle is equal to the square of third side. (v) If the triangle is equilateral, then all three angles of triangle are equal. (vi) If 2x = 3y, thenx : y = 3 : 2 (vii) If the opposite angles of a quadrilateral are supplementary, then S is cyclic. (viii) If x is neither positive nor negative, then x is 0. (ix) If the ratio of corresponding sides of two triangles are equal, then triangles are similar

Write down the converse of following statements.(i) If a rectangle lR’ is a square, then R is a rhombus.(ii) If today is Monday, then tomorrow is Tuesday.(iii) If you go to Agra, then you must visit Taj Mahal.(iv) If sum of squares of two sides of a triangle is equal to the square of third side of atriangle, then the triangle is right angled.(v) If all three angles of a triangle are equal, then the triangle is equilateral.(vi) If x : y = 3 : 2, then 2x = 3y.(vii) If S’ is a cyclic quadrilateral, then the opposite angles of S are supplementary.(viii) If x is zero, then x is neither positive nor negative.(ix) If two triangles are similar, then the ratio of their corresponding sides are equal.

Answer»

(i) If the rectangle ‘S’ is rhombus, then it is square.

(ii) It tomorrow is Tuesday, then today is Monday.

(iii) If you must visit Taj Mahal, you go to Agra.

(iv) If the triangle is right angle, then the sum of squares of two sides of a triangle is equal to the square of third side.

(v) If the triangle is equilateral, then all three angles of triangle are equal.

(vi) If 2x = 3y, thenx : y = 3 : 2

(vii) If the opposite angles of a quadrilateral are supplementary, then S is cyclic.

(viii) If x is neither positive nor negative, then x is 0.

(ix) If the ratio of corresponding sides of two triangles are equal, then triangles are similar