## Friday, August 13, 2010

### Questions 1, 2, 3, 4 and 5 by Victor Ang

Question 1
Based on the above conversation discuss, with examples and justification whether the following statement is justified.
'A square is a rhombus but a rhombus is not a square'.
Ans: A square is a rhombus but a rhombus is not a square. A square is a special type of rhombus, it is a quadrilateral which has all four sides the same length and opposite sides are parallel while it is a polygon with all four sides closed up and each of its four internal angles are right angles. So a square is a type of rhombus just like a banana is a type of fruit.

Question 2
All the above
A square and a parallelogram are quadrilaterals. They both have four sides.
Opposite sides of a square and a parallelogram are parallel. They have one pair of parallel side if not they are not considered trapezoid any more.
A trapezoid has one pair of parallel sides. A trapezium has only one pair of side which are parallel and the other two are not.

Question 3
It is a trapezium. The two opposite sides that are not equal are parallel and a pair of opposite angles are supplementary.

Question 4
I do not agree with the statement. Parallelograms are like a fruit and squares are banana. A banana is a fruit but a fruit is not part of that banana, just like a square is a parallelogram but a parallelogram is not a square.

Question 5
The reason is that BF and ED are of equal length and are parallel.

1. Entry #23
thanks Victor
Final entry from s109

2. This comment has been removed by the author.

3. what version did you use for trapezoid --- north american version or british version?

4. I am going to comment on question 2. As you mentioned trapezoid, is it the USA or the england's one .

5. "A trapezoid has one pair of parallel sides. A trapezium has only one pair of side which are parallel and the other two are not."
Don't both a trapezoid and a trapezium have one pair of parallel sides? Just that they have different pairs of parallel sides?

6. For question 4,nice example given but could you explain more about why you say the statement is wrong and just explain on your answer.
Hope you are ok with my comment.

7. Same as Pei Shan,isn't the trapezoid and trapezium the same?