Representing Relationships 2

Which of these is the correct representation of the set of parallelograms and quadrilaterals, and why? (You may want to use the definition of quadrilaterals and parallelograms and their properties to see how they are related.

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Task 2

Rectangles and parallelograms are represented in the following way in a venn diagram.

Which of the following statements is correct? And why?

• All parallelograms are rectangles
• All rectangles are parallelograms
• Some rectangles are parallelograms (and some are not).
• No parallelogram is a rectangle.

Task 3

Rhombuses and squares are represented as follows using a Venn diagram.

Based on this choose the correct word that completes the sentence.

• ____________ rhombuses are squares. (All/ Some/ No)
• _____________ squares are rhombuses (All/ Some/ No)

Task 4

Using the representations chosen in the above tasks, represent quadrilaterals, parallelograms, rhombuses, rectangles and squares in one diagram. Represent quadrilaterals using a rectangle and use appropriate circles to represent the remaining quadrilaterals.

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