Answer the tick ones
1. Which of the following statements are true for a rectangle?
(i) It has two pairs of equal sides.
(ii)It has all its sides of equal length.
(iii) Its diagonal are equals.
(iv) Its diagonals bisect each other.
(v) Its diagonals are perpendicular.
(vi) Its diagonals are perpendicular and bisect each other.
(vii) Its diagonals are equal and bisect each other.
(viii)lts diagonals are equal and perpendicular, and bisect each other .
(ix) All rectangles are Squares.
(x) All rhombuses are parallelograms.
(xi)All squares are rhombuses and also rectangles.
(xii) All squares are not parallelograms.
2. Which of the following statements are true for a square?
(i) It is a rectangle.
(ii) It has all its sides of equal length.

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Solution

Dear student,

$Q u e s t i o n 1) (i) T r u e (i i) F a l s e (i i i) T r u e (i v) T r u e (v) F a l s e (v i) F a l s e (v i i) T r u e (v i i i) F a l s e (i x) F a l s e (x) T r u e (x i) T r u e (x i i) T r u e Q u e s t i o n 2) (i) T r u e . A s q u a r e i s a s p e c i a l k i n d o f r e c \tan g l e w h o s e b o t h p a i r s o f o p p o s i t e s i d e s a r e o f t h e s a m e l e n g t h . (i i) T r u e .$

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Similar questions

Which of the following statements are true or false for a rectangle?

(i) It has two pairs of equal opposite sides.

(ii) It has all its sides of equal length.

(iii) Its diagonals are equal.

(iv) Its diagonals bisect each other.

(v) Its diagonals are perpendicular to each other.

Which of the following statements are true (T) and which are false (F) ?

(i) In a parallelogram, the diagonals are equal.

(ii) In a parallelogram, the diagonals bisect each other.

(iii) In a parallelogram, the diagonals bisect each other at right angles.

(iv) In any quadrilateral, if a pair of opposite sides is equal, it is a parallelogram.

(v) If all the angles of a quadrilateral are equal, it is a parallelogram.

(vi) If three sides of a quadrilateral are equal, it is a parallelogram.

(vii) If three angles of a quadrilateral are equal, it is a parallelogram

(viii) If all the sides of a quadrilateral are equal it is a parallelogram.

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