Write down the converse of the following statements:

i. If a rectangle R 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 the Taj Mahal.

iv. If the sum of squares of two sides of a triangle is equal to the square of the third side of the triangle, 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 is equal.

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7 months ago

This is a short answer type question as classified in NCERT Exemplar

( i ) I f t h e r e c t a n g l e R   i s r h o m b u s , t h e n i t i s a s q u a r e . ( i i ) I f t o m o r r o w i s T u e s d a y , t h e n t o d a y i s M o n d a y . ( i i i ) I f y o u m u s t v i s i t t h e T a j M a h a l , t h e n y o u g o t o A g r a . ( i v )   I f t h e t r i a n g l e i s r i g h t t r i a n g l e , t h e n t h e s u m o f t h e s q u a r e s o f t w o s i d e s o f a t r i a n g l e   isequaltothesquareofthethirdsideofthetriangle. ( v ) I f t h e t r i a n g l e i s e q u i l a t e r a l , t h e n a l l t h r e e a n g l e s o f a t r i a n g l e a r e e q u a l . ( v i ) I f 2 x = 3 y t h e n x : y = 3 : 2 . ( v i i ) I f t h e o p p o s i t e a n g l e s o f a q u a d r i l a t e r a l a r e s u p p l e m e n t a r y , t h e n S i s c y c l i c . ( v i i i ) I f x i s   n e i t h e r p o s i t i v e n o r n e g a t i v e t h e n x = 0 . ( i x ) I f t h e r a t i o o f c o r r e s p o n d i n g s i d e s o f t w o t r i a n g l e s a r e e q u a l , t h e n t r i a n g l e s a r e s i m i l a r .

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Maths NCERT Exemplar Solutions Class 11th Chapter Fourteen 2025

Maths NCERT Exemplar Solutions Class 11th Chapter Fourteen 2025

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