Which of the given statements is correct? Justify your answer/s with examples.
A ) A square and a parallelogram are quadrilaterals.
B ) Opposite sides of a square and a parallelogram are parallel.
C ) A trapezoid has one pair of parallel sides.
D ) All the above
Ans: (D). A square and parallelogram both have four sides so they both are quadrilaterals. Both the square and parallelogram has four sides and the opposite sides are parallel to each other which is their property. A trapezoid is a quadrilateral with only two sides parallel to each other like a trapezium.
A quadrilateral is drawn on a piece of paper. It has one pair of opposite sides equal in length, the other pair not equal in length, and a pair of opposite angles that are supplementary1. Identify this figure, and justify your answer with reasons.
This quadrilateral can be a trapezium which only has one pair of parallel line and two of its sides are of the same length while two are of different lengths. The angles lying on different parallel lines of a side of a trapezium also adds up to 1800.
'All parallelograms are squares?' Do you agree with this statement?
Justify your answer with example/s.
I do not agree with this statement. A square must have four equal sides but a parallelogram does not need all its sides to be of equal length and a square must have interior angles of 900 only where a parallelogram does not need to be. So, all parallelograms are not squares.