E-Learning Activity 3 Karan Sarat
A square is a rhombus but a rhombus is not a square
This statement is partially correct. The first
part is correct. A rhombus is a parallelogram(all sides are parallel) but all sides are equal. A square also has equal, parallel sides which makes it a rhombus. So you cannot say that a rhombus is not a square, but you can say that not all rhombuses are squares.
A ) A square and a parallelogram are quadrilaterals.
Yes. They both have 4-sides, which where the word 'quad' come in.
B ) Opposite sides of a square and a parallelogram are parallel.
Yes it is true. If you draw a line from one of the sides to the otherside straight down, the lines would be perpendicular.
C ) A trapezoid has one pair of parallel sides.
Yes. 1 pair of sides would be parallel, but the other sides would not.
D ) All the above
All of the above statements are correct.
‘All parallelograms are squares?’ Do you agree with this statement?
No. Squares can be parallelograms as all sides of the square are parallel. However, not all
parallelograms are squares as there are parallelograms with different lengths, widths and angles. A square has to have equal sides always, and every angle in the square has to be 90 degrees. Thus the statement is not correct.
Posted by BlacKarant