Is every square a rectangle ?

Open in App

Solution

For being a rectangle ,
opposite sides should be parallel and equal .
each angle should measure $90 °$ .
diagonals should bisect each other and the length of diagonal should be equal .
Since all these criteria is fulfilled by a quadrilateral called square ,
Hence we can say that every square is a rectangle .

Suggest Corrections

Similar questions

State with reasons whether the following statements are ‘true’ or ‘false’.

(i) Every parallelogram is a rhombus.

(ii) Every rhombus is a rectangle.

(iii) Every rectangle is a parallelogram.

(iv) Every squre is a rectangle.

(v) Every square is a rhombus.

(vi) Every parallelogram is a rectangle.

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.

Q. Using opposite angles test for parallelogram, prove that every rectangle is a parallelogram.

Question 30

Fill in the blanks to make the statement true.

The net of a rectangular prism has ___ rectangles.
[Hint: Every square is a rectangle but every rectangle is not a square.]

Q. Which of the following statements is incorrect?
(A) Every parallelogram is a quadrilateral.
(B) Every rectangle is a parallelogram.
(C) Every square is a rectangle.
(D) Every trapezium is a parallelogram.

Join BYJU'S Learning Program