What other relationships can be described using Venn diagrams? Use this tool
to explore many different geometric properties and shapes.
Begin by selecting the type of Venn diagram that you would like to use. Click
one of the Select a Rule drop-down boxes at the bottom of the screen.
Select your rule; an oval will be drawn in the work area. If you want to compare
two rules, select a different rule from the other Select a Rule box.
Sort shapes by dragging them from the top menu to the appropriate region of
the work area. If you want to preview a shape before moving it, mouse over it
and a larger image will appear to the left of the shapes menu.
When you are done sorting, click the
Checkmark button to see which shapes are in the correct region and which
are not. Correct shapes will be highlighted in green with a checkmark. Incorrect shapes will be
highlighted in red with an X.
At any point, you can click the
Eraser button to clear all the shapes from the work area.
When you are finished sorting, click
the Home button. This will reset all shapes and rules so you can start
your next sorting activity.
Select the rule "All sides are congruent" from the orange Select a rule box
and "All angles are congruent" from the green Select a rule box. This will draw
two overlapping ovals on your screen called a Venn diagram, creating four
You should now have four shapes in each of the four regions of your work
area. Click the Checkmark button at the bottom to see if you've correctly placed
your shapes. If any are incorrect, try to move them to the correct region and
find a different shape that might belong in the empty region. Keep checking your
answers until all four regions have a shape.
Looking at the shapes in your work area, what do they have in common? How are
Try moving the remaining shapes into the correct region. Check your answers
as you work. When you are finished, write some true mathematical statements
about your Venn diagram, and then clear the work area and try this activity with
two other rules.
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