## Friday, August 13, 2010

### Question 2 by Looi Wei Chern

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

D is Correct.

Evidence for A) A square and a parallelogram are both quadrilaterals as the definition of quadrilateral is a polygon with four sides and four vertices or corners. Thus, the following are all quadrilaterals, which includes squares and parallelograms:

Evidence for B) Parallel lines are two lines lying in the same plane but never meeting no matter how far extended as it can be clearer seen below in the pictures of the square and the parallelogram.

Evidence for C) Like I said above, the definition of parallel lines is two lines lying in the same plane but never meeting no matter how far extended thus from the diagram below, only DC and AB is parallel to one another but AD and BC are not parallel to one another thus the definition of a trapezoid simply means a four-sided figure with one pair of parallel sides.

#### 1 comment:

1. Something went wrong with my images when I posted onto the blog thus I resent the images in my next post. Thank You.