2. CREATING A BUTTON

 Problem  2.  a) Construct the perpendicular bisector of a given segment.

                     b) Construct the perpendicular bisectors of a given triangle ABC.

a) 

Solution a)  

 b) 

 Solution b)  

 Problem  3. Given is a segment AB. Construct the mean point of the segment.

If we use the solution of the previous problem, we have to find the intersection point of the perpendicular bisector and the given segment. Basic constructions are called basic because they are used repeatedly and it is convenient to have buttons for them. The construction of a segment perpendicular bisector is a basic construction.

Let us make a button for a segment perpendicular bisector by using the bisector we already constructed while solving the previous problem.

Select Create New Tool... from the Tools menu.

In the dialog window Create New Tool select the objects in the construction that you want to be displayed. In our case this is the perpendicular bisector – the line b. After selecting all required objects, click on the Next> button. The input objects required for the construction appear.

Now you have to only name the object and to click on Finish.

A button with the given name appears.

When you click on this button, an instruction appears to the right to specify two points.

When you construct two points, a segment appears between the two points as well as its perpendicular bisector.

The only thing you need to construct is the intersection point of the segment and its perpendicular bisector.

Let us use the button we created to find the midpoint of a segment.

We construct a perpendicular bisector with the perpendicular bisector button and find the intersection point of the given segment and its perpendicular bisector.

The construction of a segment is also a basic problem and we will make a button for this construction.

Now we have two new buttons.

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