Q3 of 58 Page 17

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 ___________.

(i) A rectangle is a parallelogram in which opposite sides are parallel and equal.


(ii) A square is a rhombus in which all the sides are of equal length.


(iii) A square is a rectangle in which opposite sides are equal and parallel and each angle is a right angle.


More from this chapter

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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 diagonals are equal.


(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) Its 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.


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


(v) Its diagonals are equal to its sides.

4

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

 5

In a rectangle ABCD, prove that ΔACB ≅ΔCAD.