Name__________________

This exploration will allow us to gather data to explore relationships of chords, secant segments, tangent segments, and the angles and arcs that they create.

WORDS TO THE WISE… refer to these before you ask me questions.

1.  When you want to measure something, it must exist.  That is, if you want to measure an arc, you must tell the computer to create that arc.

2.  Measure ARC ANGLES (what we call arc measure), not arc lengths for this exploration.

3.  To create an arc, you must mark the circle first.  Then hold down shift and connect the endpoints of the arc in a counterclockwise order.

4.  To add an entry, your “tabulate” table (redundant?) must be highlighted.

5.  Put your name on anything you intend to print.  (hint: use a textbox)

Exploration #1…

                        1.  Construct and label the diagram to the left.

                        2.  Measure all of the following.

                                    -                - mÐAXB           - mÐAXC

                                    -                - mÐCXD           - mÐBXD          

                                    -                - mAB (arc)       - mAC (arc)

                                    -                - mCD (arc)       - mBD (arc)      

                        ORIENT THE MEASUREMENTS ON YOUR PAGE  

                        IN ONE VERTICAL COLUMN.

3.   Now select all of the measurements in order.

4.  Go to the Measurement command on the command bar.  Select tabulate.  A list of

the measurements and their values should appear in a table-like format. 

5.  Now change your picture by dragging any part of it. 

6.  Highlight the “tabulate” table by clicking on any entry.  Go again to the

Measurement menu and select add entry.

7.  Repeat steps 5 and 6 at least 2 more times.  (you should then have 4 measurements in your tables.)

Save sketch as Explor1 on your disk.  Print your sketch.  Close the sketch. 

Exploration #2… Open a new sketch.

1.   Construct a diagram like this on

2.   Measure all of the following.

            - - - - - mAB – mCD - ÐAXB                

 ORIENT THESE VERTICALLY ALSO.                 

3.Repeat directions 4-7 from above.  Save sketch as Explor1 on your disk.  Print your sketch.  Close the sketch. 

Save sketch as Explor2 on your disk.  Print your sketch.  Close the sketch. 

Exploration #3…  

                                                            1.   Construct a diagram like the one to the left.

                                                            2.  Measure all of the following.

        -    -  - - ÐAXB – mAB – mAC

            ORIENT THESE VERTICALLY ALSO.  

3.  Now repeat directions 4-7 from exploration #1.      

Save sketch as Explor3 on your disk.  Print your sketch.  Close the sketch.