Question 1:

__A square is a rhombus but a rhombus is not a square__

A square has 4 equal sides so it can be called a rhombus. However, a rhombus does not have four right angles thus it cannot be called a square.

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

The answer I have chose is D. (All of the sentences are correct)

A square and a parallelogram are in the group called quadrilaterals which has four sides and their inside angles add up to 360 degrees.

Opposite sides of a square and a parallelogram are parallel.

And a trapezoid has one pair of parallel sides. ( In the picture )

Question 4 :

All parallelograms are square. Do you agree with this statement?

No. I do not agree with this statement as a square has to have four right angles but a parallelogram may or may not have four right angles and thus not all parallelograms are square.

Entry #22

ReplyDeletethanks Johanan

for question 1, this was you're answer:

ReplyDeleteA square has 4 equal sides so it can be called a rhombus. However, a rhombus does not have four right angles thus it cannot be called a square.

i think maybe you should add one word within to avoid confusion, like say the rhombus does not necessarily need to have 4 right angles, instead of just saying a rhombus does not have four right angles. it avoids confusion :)

For question 4,

you can also say that the parallelogram might not have 4 equal sides, it may have 2 pairs of sides that are of equal length.

overall very well done :) can understand clearly. thanks!