**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?

**Student:**Four.

**That's right and we call quadrilaterals with parallel sides**

Mentor:

Mentor:

__parallelograms__.

**But, how can all the sides be parallel if a quadrilateral is a polygon and is all closed off?**

Student:

Student:

**Great thinking! I guess what I should have said is that a parallelogram has two pairs of opposite sides that are parallel, like this:**

Mentor:

Mentor:

**Student:**Oh, so the top is parallel to the bottom and the sides are parallel to each other. I understand now!

**Mentor:**Good. Now I want to tell you about a special kind of parallelogram. It's called a rhombus. A rhombus is a parallelogram, but all four sides have the same length.

**So a rhombus is a type of parallelogram just like a banana is a type of fruit.**

Student:

Student:

**Right, we should not say that all parallelograms are rhombi, just like we don't say that all fruits are bananas.**

Mentor:

Mentor:

__Question for discussion__

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:This statement is justified because though both shapes are 4-sided polygons, the angles at the corners of a square are always 90° but the angles at the corners of a rhombus are not always at 90°.

2.Which of the given statements is correct? Justify your answer/s with examples.

**________________________________________________________**

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

A) A square and a parallelogram are quadrilaterals. - This statement is correct as the quadrilaterals are any 4-sided polygon and both a square and a parallelogram are 4-sided polygons.

B) Opposite sides of a square and a parallelogram are parallel. - This statement is true because opposite sides of a square and a parallelogram will never meet.

C) A trapezoid has one pair of parallel sides. -This statement is true.

Ans: Hense, D(All the above) is the answer.

___________________________________________________

4. ‘All parallelograms are squares?’ Do you agree with this statement?

Justify your answer with example/s.Ans: I do not agree with the statement as the angles at the corners of a square will always be 90° but the angles at the corners of a parallelogram are not always 90°.

For the 4th question, you can add in that all sides of the square must be equal while the sides of parallelogram need not be equal. :) The rest is really good with clear descriptions.

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