Question: 20. Prove using the definitions if all rhombi are rectangles or if all rectangles are rhombi or neither of those two cases. 21. Make a
20. Prove using the definitions if all rhombi are rectangles or if all rectangles are rhombi or neither of those two cases. 21. Make a Venn Diagram of the relationships among rectangles, squares and rhombi. Justify in words why your Venn Diagram is correct (there are several cases to consider). 22. Give two examples of parallelograms, and two examples of quadrilaterals that are not parallelograms. 23. Use the definitions to prove that either all rhombi are parallelograms, all parallelograms are rhombi, or neither. 24. Use the definitions to prove that either all rectangles are parallelograms, all parallelo- grams are rectangles, or neither. 25. Use the definitions to prove that either all trapezoids are parallelograms, all parallelo- grams are trapezoids, or neither. 26. Make a new Venn diagram that shows the relationships among rectangles, squares, rhombi, trapezoids, and parallelograms.
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