1.Based on the above conversation discuss, with examples and justification whether the following statement is justified.
‘A square is a rhombus but a rhombus is not a square’.
This statement is true.
The properties of a rhombus is that the lines must of equal length and the opposite sides must be parallel while the properties of a square is that all line must be of equal length, opposite sides must be parallel and that every line must be perpendicular to another.
A square can be a rhombus as it fulfills all the properties of a rhombus. However, the rhombus cannot be a square as the angles in the rhombus can be of any angle as long as the opposite angle is the same and the top and bottom angle add up to 180 degrees.
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
The answer is D.
A square and a parallelogram are quadrilaterals as they have 4 sides.
The opposite sides of a square and a parallelogram are parallel as they will never meet even if you extend the lines.
A trapezoid has one pair of parallel sides as it has only one pair parallel sides as the two angles of the vertical lines add up to 180 degrees.
4.‘All parallelograms are squares?’ Do you agree with this statement?Justify your answer with example/s.
I do not agree with this statement. Parallelograms do not have equal sides unlike squares. The opposite angles of a square are supplementary while a parallelogram does not.