Question 1, 2, 3 By Harsh Seth

1) 'A square is a rhombus but a rhombus is not a square’.

I agree with this statement as square has 4 equal sides and the opposite angles do add up to 180° but a rhombus can is not a square as all angles in a square are 90° but rhombus's angle need not be 90°. It can be more or less.

2) 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

I agree with statement D.
Why A? They both have 4 sides. They also have have 4 corners and 4 angles, all adding up to 360°.

Why B? A square and Parallelogram do have opposite parallel sides or else they would not the shape.

Why C? A trapezoid has one pair of parallel line as the others are sloped towards each other. they are not parallel.

3) 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. 1 sum of two angles equals 180°.

This quadrilateral is an trapezium as it has one pair of equal sides and another pair not equal sides.The two opposite angles of the trapezium are equal to 180°

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