EMAT 6700

by Brad Simmons

Counting Squares and Rectangles

Use geometer's sketchpad count squares and rectangles.

How many rectangles are in the figure below?

Label each small region with a letter.  Then list each rectangle by writing the letters of regions it contains.

A, B, C, D, AB, CD, AC, BD, ABCD

There are 9 rectangles in the figure above.

How many squares are in each figure?

                                                    1.

Please click here for a geometer's sketchpad sketch of the figure above.

                                            2.

Please click here for a geometer's sketchpad sketch of the figure above.

                                            3.

Please click here for a geometer's sketchpad sketch of the figure above.

How many rectangles are in each figure?

                                4.

Please click here for a geometer's sketchpad sketch of the figure above.

                                5.

Please click here for a geometer's sketchpad sketch of the figure above.

                                        6.

  Please click here for a geometer's sketchpad sketch of the figure above.

  Please click here for the answers if you need them. 

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