Question 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
B and C are correct.
The property of a parallelogram is that opposite sides are parallel as the square has an equal length and angle of all sides, its opposite sides are also equal. Thus, B is correct.
C is also correct as the trapezoid has two opposite lines at the top of the figure and at the bottom which is parallel. The two sides of the figure is not parallel. Thus there is only one pair of parallel lines. Thus, C is correct.
It is a parallelogram. Firstly opposite angles of this figure adds up to 180 degrees. The opposite lengths are equal within this figure. Its pair of opposite angles are also supplementary. Thus, the quadrilateral is a parallelogram.
ABCD is a parallelogram. If E is midpoint of AD and F is midpoint of BC show, with reasons, that BFDE must be a parallelogram.
BFDE must be a parallelogram. Firstly it has two pairs of parallel lines, this is one of the properties of a parallelogram. THe opposite sides are equal in this figure. Which is also a property in the parallelogram. Thus we can conclude that it must be a parallelogram