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
My Answer: D
A: A square and a parallelogram are formed by 4 straight lines.
B: This statement is true as the the opposite sides of both the shapes will never meet.
C: The top side and the bottom side of a trapezoid will will never meet after they are extended. But the lines of the left and the right side will meet. Thus it has only 1 pair of parallel sides.
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 1800
The lines of the left and right sides of a trapezium can be equal in length while the lines of the top and bottom sides are different in length. And a trapezium suits all the conditions given in the question.
‘All parallelograms are squares?’ Do you agree with this statement?
Justify your answer with example/s.
Answer: I do not agree with the statement. The reason is simply because all parallelograms do not suit the conditions of being squares. First, the 4 angles of a square are of the same angle of 90 degrees; Second, the diagonals of a square are perpendicular with each other; Third, the 4 sides of a square are of the same length.