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Building Similar Rectangular Prisms

Drag the LARGE POINTS to build a pair of rectangular prisms that are SIMILAR (yet not congruent). Be sure their orientations are the same.

Test the accuracy of your setup above by using the CHECK slider. Once you know your setups are correct, mathematically show how you know your prisms are similar below.

Build another pair of SIMILAR RECTANGULAR PRISMS that have entirely different measurements than the ones you made above.

Test the accuracy of your setup above by using the CHECK slider. Once you know your setups are correct, mathematically show how you know your prisms are similar below.

Build a pair of rectangular prisms below that are NOT SIMILAR. Use the CHECK slider to show they're not similar.

Mathematically show or explain how you know the rectangular prisms you made above are NOT SIMILAR.