A conversation between a mentor and a student.
Mentor: Does anyone recall or know what we call it when 2 lines run side-by-side and never cross?
Student: Yes. Lines like that are called parallel lines.
Mentor: Great! We've already learned that quadrilaterals have how many sides?
Mentor: That's right and we call quadrilaterals with parallel sides parallelograms.
Student: But, how can all the sides be parallel if a quadrilateral is a polygon and is all closed off?
Mentor: Great thinking! I guess what I should have said is that a parallelogram has two pairs of opposite sides that are parallel, like this:
Student: So a rhombus is a type of parallelogram just like a banana is a type of fruit.
Mentor: Right, we should not say that all parallelograms are rhombus, just like we don't say that all fruits are bananas.
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
All of the above
A quadrilateral is drawn on a piece of paper. It has one pair of opposite sides equal in length, the other pair not equal in length, and a pair of opposite angles that are supplementary1. Identify this figure, and justify your answer with reasons.
'All parallelograms are squares?' Do you agree with this statement?
Justify your answer with example/s.
Ans:Yes, all four sides of the squares areparallelogram
ABCD is a parallelogram. If E is midpoint of AD and F is midpoint of BC show, with reasons, that BFDE must be a parallelogram.