The question to answer:

**Question 2:**

Answer: D

Reasons: Statement A: Squares and parallelograms have 4 sides each. Proof:

**Great! We've already learned that quadrilaterals have how many sides?**

Mentor:

Mentor:

**Four.**

Student:

Student:

Statement B: Opposite sides of a square and parallelogram are parallel. Proof:

**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.**

Mentor:

Mentor:

Statement C: A trapezoid has only one pair of parallel sides. Proof:

The shape of a trapezium shows only one pair of parallel sides.

**Question 4**

Answer: No

Reasons: A parallelogram has 2 pairs of parallel lines, but the pairs of lines have different lengths (Let's say AB//CD and BC//AD. AB and CD have the same length (

*x*cm) and BC and AD also have the same length but this time not

*x*cm (example

*y*cm)). Futhermore, all of the angles in a square are 90º. But in a parallelogram, opposite angles are the same.

**Question 5**

A parallelogram has 2 parallel pair of lines (BF//ED and BE//ED). Thus BFED is a parallelogram.