Question

1. State whether the statements are True or False.
(i) Every parallelogram is a trapezium
(ii) All parallelograms are quadrilaterals
(iii) All trapeziums are parallelograms
(iv) A square is a rhombus
(v) Every rhombus is a square
(vi) All parallelograms are rectangles​

Answer 1

Step-by-step explanation:

False; All trapeziums are parallelograms, but all parallelograms can't be trapezoid

Answer 2

Step-by-step explanation:

The square of any real number is always positive.

Let x be a positive real number. We can see x

2

≥0 as x×x≥0

If x is negative real number, then, (−x)(−x)=xx=x

2

≥0

So, the statement is aways TRUE.