Question

Give reasons for the following :(a) A square can be thought of as a special rectangle.(b) A rectangle can be thought of as a special parallelogram.(c) A square can be thought of as a special rhombus.(d) Squares, rectangles, parallelograms are all quadrilaterals.(e) Square is also a parallelogram.

Answer 1

a)because square have all properties of rectangle but rectangle does not have all properties of square.
b)because parallelogram have all properties of rectangle but rectangle does not have all properties of parallelogram.
c)because square have all properties of rhombus but rhombus does not have all properties of square.
d) properties of quadrilateral are that they have 4 sides and sum of 4 angles is`360^0` which are same as square,rectangle,parallelogram.
e)because square have parallel sides and sum of all 4 angles is `360^0`