E-Learning 2010 Maths Activity 3

Question 1:

The statement 'A square is a rhombus but a rhombus is not a square' is completely untrue.

First, let us review the properties of a square:

• Perpendicular lines (90 degrees in each angle)
• Parallel Lines
• All lines are equal in length

Then, compare with the properties of a rhombus:

• Parallel Lines
• All lines equal in length
• Non-perpendicular lines

Hence, since one property is completely opposing each other, rhombuses cannot be squares, and squares cannot be rhombuses.

Question 2:

All of the above! (D)

For A, a quadrilateral is a shape with 4 sides, hence, a square and a parallelogram are quadrilaterals.
For B, the opposing sides of squares and parallelograms are parallel to each other.
For C, the trapezoid has only one pair of parallel lines, no more, as the other two lines will soon connect if extended.

Question 4:

Parallelograms already have 2 different lengths for their sides, hence is not a square.