Q4 of 58 Page 17

A window frame has one diagonal longer then the other. Is the window frame a rectangle? Why or why not?

No, diagonals of a rectangle are of equal length equal.


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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.


(iii) Its diagonals bisect each other at right angle.


(v) Its diagonals are equal to its sides.

3

Fill in the blanks in each of the following, so as to make the statement true :

(i) A rectangle is a parallelogram in which ________.


(ii) A square is a rhombus in which __________.


(iii) A square is a rectangle in which ___________.

 5

In a rectangle ABCD, prove that ΔACB ≅ΔCAD.

 6

The sides of a rectangle are in the ratio 2 : 3, and its perimeter is 20 cm. Draw the rectangle.