Fill in the blanks - a- A quadrilateral whose all the sides- diagonals and angles are equal is - b- Diagonals of a rectangle - c- Diagonals of a rhombus - d- Both the diagonals of a rhombus are - in length- -8203-e- The diagonals of a parallelogram - f- The diagonals of a square - g- The opposite sides and angles of a rectangle are - h- The net of a triangular pyramid has - triangles

Dear Student, (a) A quadrilateral nbsp;whose all the sides, diagonals and angles are equal is nbsp;Square. (b) Diagonals of a rectangle are nbsp;equal. ...

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Byju's Answer

Standard IX

Mathematics

Each Angle of a Rectangle Is 90

Fill in the b...

Question

Fill in the blanks :
a) A quadrilateral whose all the sides, diagonals and angles are equal is _.
b) Diagonals of a rectangle _.
c) Diagonals of a rhombus _.
d) Both the diagonals of a rhombus are in length.
e) The diagonals of a parallelogram __
f) The diagonals of a square _.
g) The opposite sides and angles of a rectangle are _.
h) The net of a triangular pyramid has _ triangles

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Solution

Dear Student,
(a) A quadrilateral whose all the sides, diagonals and angles are equal is Square.
(b) Diagonals of a rectangle are equal.
(c) Diagonals of a rhombus intersect at 90 degrees.
(d) Both the diagonals of a rhombus are not equal in length.
(e) The diagonals of a parallelogram bisect each other.
(f) The diagonals of a square are equal, bisect at 90 degrees.
(g) The opposite sides and angles of a rectangle are equal.
(h) The net of a triangular pyramid has 4 triangles.

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Similar questions

Say True of False:

(a) Each angle of a rectangle is a right angle.

(b) The opposite sides of a rectangle are equal in length.

(d) All the sides of a rhombus are of equal length.

(e) All the sides of a parallelogram are of equal length.

(f) The opposite sides of a trapezium are parallel.

Complete the following:

(a) A quadrilateral has ____________ sides.

(b) A quadrilateral has ____________ diagonals.

(d) In an isosceles trapezium, the base angles are ____________.

(e) In a rhombus, the diagonals bisect each other in ____________ angles.

(f) In a square, all the sides are ____________.

$\begin{matrix} Q u a d r i l a t e r a l & P r o p e r t i e s 1) T r a p e z i u m & A) A p a r a l l e l o g r a m w h e r e d i a g o n a l s b i s e c t a t r i g h t a n g l e s a n d a l l s i d e s e q u a l h a v i n g n o n e o f t h e a n g l e e q u a l t o 90^{\circ} . 2) S q u a r e & B) A q u a d r i l a t e r a l w h e r e o n l y o n e p a i r o f o p p o s i t e s i d e s i s p a r a l l e l a n d u n e q u a l . 3) R e c t a n g l e & C) A p a r a l l e l o g r a m w h e r e d i a g o n a l s a r e e q u a l a n d a l l s i d e s e q u a l h a v i n g a l l t h e a n g l e s 90^{\circ} . 4) R h o m b u s & D) A p a r a l l e l o g r a m w h e r e d i a g o n a l s a n d o p p o s i t e s i d e s a r e e q u a l h a v i n g a l l t h e a n g l e 90^{\circ} . \end{matrix}$

Find which of the following are not true:

1. All the sides of a rhombus are always equal in length.

2. All the sides of a parallelogram are always equal in length.

3. Diagonals of a parallelogram are equal in length.

4. Diagonals of a square are equal in length.

5. Diagonals of a rectangle are equal in length.

Q. Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.

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