Saturday, August 14, 2010

Questions 1, 2 and 4 by Tshin Qi Ren

Q1) 'A square is a rhombus but a rhombus is not a square'.
I agree with the statement.

Because a square is a polygon with four equal length sides and four 90 degree angles. 
while a Rhombus is a shape that all the sides are equal with the same length but might not have the same degree, only the opposite side is the same. But a square can in a way, have the same degree for opposite sides. But a rhombus might not necessarily have 90 degrees so it cannot be said to be a square...

Q2) 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

D) All of the above. 
A) Quadrilateral is a four-sided figure which have straight lines so squares and parallelograms.
B) Having the same degree for the 4 sides, the square's opposite sides are naturally the same. As their opposite degree are the same, so, the opposite sides are naturally opposite sides too.
C) A trapezoid only have 1 pair of parallel sides

Q4) 'All parallelograms are squares?' Do you agree with this statement?
No, I do not agree with it. Parallelograms are opposite sides that are parallel to each other and opposite sides are equal in length. However, their angles do not necessarily have to be 90 degrees like the square.

Tshin Qi Ren

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