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. For A, quadrilaterals are 2-dimensional figures with 4 straight sides, and the interior angles add up to 360 degrees. Examples of quadrilaterals are squares, parallelograms, and kites. Since a square and a parallelogram are 2-dimensional figures with 4 straight sides, and the interior angles add up to 360 degrees, they are quadrilaterals. For B, squares have 2 pairs of parallel lines, while a parallelogram has a pair of parellel line at each side. Hence, opposite sides of a square and a parallelogram are parallel. For C, a trapezoid has only a pair of parellel lines. If there were more than a pair of parallel lines, it would be a parallelogram. So, all of the statements are correct.

4) All parallelograms are squares?' Do you agree with this statement?

Justify your answer with example/s.
Hi Preston

ReplyDeleteGreat work - a lot of thoughts n reading has been done prior to this activity. I particularly like the reference to properties of quadrilateral in your writeup. Question 5 is a good attempt n will be even better with some points on why is can't be parallelogram.