- Select the [b]POINT tool (Window 2) [/b]and draw a point [b]O [/b]on line [b]r[/b]. [br]- Select the [b]COMPASS tool (Window 6)[/b]. Then click on [b]O [/b]and[b] A[/b] (it represents the length opening of[br]the compass) and again on [b]O [/b](represent the sharp end of the compass). [br][b]-[/b]Select the INTERSECT [b]tool (Window 3) [/b]and mark points [b]B [/b]and [b]C[/b], which are intersection points between the circle with the line [b]r[/b]. [br]- Select the [b]COMPASS tool (Window 6)[/b]. Then click on point [b]B[/b] and point [b]A[/b] (it represents the length opening of the compass) and again on point [b]C[/b] (it represents the sharp end of the compass). [br][b]-[/b]Select the INTERSECT tool [b](Window 3) [/b]and mark point [b]D[/b], which is the point of intersection of the two circles. -Select the LINE [b]tool (Window 3)[/b] and click on [b]A [/b]and [b]D.[/b] Label this line [b]s[/b]. [br]- Select the [b]SHOW/HIDE OBJECT[/b][b] tool (Window 7)[/b] and hide the circles, points [b]B[/b], [b]C [/b]and [b]D[/b], leaving only[br]the lines and point [b]A.[/b][br]-Select the [b]RELATION (Window 8)[/b] and click on the two lines. What happens when you follow all the steps above? [br]- Select the [b]MOVE tool (Window 1). [/b]Move either point [b]A[/b] or line [b]r[/b]. What can you see?

- Select the [b]COMPASS tool (Window 5)[/b]. Then click on the segment [b]AB [/b](it represents the length opening of the compass) and on [b]E [/b](represents the sharp end of the compass). [br]- Select the[b] INTERSECT tool (Window 3) [/b]and mark[b] F and G[/b]. They are points of intersection of the circle with the line. [br]- Select the [b]COMPASS tool (Window 6)[/b]. Then click on point [b]F [/b]and point[b] G[/b] (it represents the length opening of the compass) and again on point [b]F [/b](it represents the sharp end of the compass). After that, click on point [b]G [/b]and point[b] F[/b] (it represents the length opening of the compass) and again on [b]G[/b] (it represents the sharp end of the compass). [br][b]- [/b]Select the [b]INTERSECT tool (Window 3)[/b] and mark a point [b]H[/b], point of intersection of the last two circles.  [br]-Select the [b]LINE tool (Window 4)[/b] and click on point [b]E [/b]and point [b]H[/b]. The intended perpendicular line will appear. Let us analyse it. [br][b]- [/b]Select the [b]INTERSECT tool (Window 3)[/b] and mark point [b]I[/b], point of intersection of points [b]h [/b]and [b]g[/b].  [br][b]-[/b] Select the [b] ANGLE tool (Window 9)[/b]. Click on points [b]E[/b],[b] I [/b]and[b] C[/b] to mark the angle [b]EIC[/b] (the vertex of the angle will always be the second point clicked). What is the measurement of this angle? [br]- Select the [b]SHOW / HIDE OBJECT tool (Window 7)[/b] and hide the circles, points [b]H[/b], [b]F [/b]and [b]G[/b], leaving only the lines and point [b]E.[/b] [br]-Select the [b]RELATION tool (Window 8)[/b] and click on the two lines. What happens when you follow all the steps above? [br]- Select the [b]MOVE tool (Window 1). [/b]Move either point [b]E[/b] or line [b]g[/b]. What can you see?

-Select the [b]COMPASS tool (Window 5)[/b]. Then click on the segment [b]AB [/b](it represents the length opening of the compass) and on [b]E[/b] (it represents the sharp end of the compass). [br][b]- [/b]Select the [b]INTERSECT tool (Window 3)[/b] and mark the intersections [b]F [/b]and [b]G[/b] of the circle with the line [b]g[/b].  [br]- Select the [b]COMPASS tool (Window 6)[/b]. Then click on point [b]F [/b]and point[b] G[/b] (it represents the length opening of the compass) and again on point [b]F [/b](it represents the sharp end of the compass). After that, click on point [b]G [/b]and point[b] F[/b] (it represents the length opening of the compass) and again on [b]G[/b] (represents the sharp end of the compass). [br][b]- [/b]Select the [b]INTERSECT tool (Window 3)[/b] and mark a point [b]H[/b], point of intersection of the last two circles.  [br]-Select the [b]LINE tool (Window 4)[/b] and click on point [b]E [/b]and point [b]H.[/b] The intended perpendicular line will appear. [br][b]-[/b]Select the [b] ANGLE tool (Window 9)[/b]. Click on points [b]H[/b], [b]E [/b]and[b] C[/b] to mark the angle [b]HEC[/b] (the vertex of the angle will always be the second point clicked). What is the measurement of this angle? [br]- Select the [b]SHOW / HIDE OBJECT tool (Window 7)[/b] and hide the circles, points [b]H[/b], [b]F [/b]and [b]G[/b], leaving only the lines and point [b]E.[/b] [br]-Select the [b]RELATION tool (Window 8)[/b] and click on the two lines. What happens when you follow all the steps above? [br]- Select the [b]MOVE tool (Window 1). [/b]Move either point [b]E[/b] or line [b]g[/b]. What can you see?

- Select the [b]COMPASS tool (Window 6)[/b]. Then click on point [b]A [/b]and point[b] B[/b] (it represents the length opening of the compass) and again on point [b]A [/b](it represents the sharp end of the compass). After that click on point [b]B [/b]and point[b] A [/b](it represents the length opening of the compass) and again on [b]B[/b] (it represents the sharp end of the compass). [br][b]- [/b]Select the option [b]INTERSECT (Window 3)[/b] and mark [b]C [/b]and[b] F[/b], which are the intersections between the two circles.  [br]-Select the[b] LINE tool (Window 4)[/b] and click on [b]C [/b]and [b]D.[/b] This is the aimed line bisector. [br][b]- [/b]Select the [b]INTERSECT[/b] [b](Window 3)[/b] and mark [b]E[/b], which is the intersection of [b]g [/b]with segment [b]AB[/b].  [br]- Select the [b]SHOW/HIDE OBJECT tool (Window 7)[/b] and hide the circles, points [b]C[/b] and [b]D[/b], leaving only the lines and point [b]E.[/b] [br]- Select the [b]MOVE tool (Window 1)[/b]  Move point [b]A[/b] or [b]B.[/b] What can you see?

-Select the [b]COMPASS tool (Window 5)[/b]. Then click on the segment [b]AB [/b](it represents the length opening of the compass) and on [b]C[/b] (it represents the sharp end of the compass). [br][b]- [/b]Select the INTERSECT [b]tool (Window 3)[/b] and mark [b]F [/b]and [b]G.[/b] They are the points of intersection between the circle and the rays (Half-lines) that form the angle.  [br]- Select the [b]COMPASS tool (Window 6)[/b]. Then click on the segment [b]AB [/b](it represents the length opening of the compass) and on [b]G[/b] (it represents the sharp end of the compass). Then click on segment [b]AB [/b](it represents the length opening of the compass) and on [b]F[/b] (It represents the sharp end of the compass). [br][b]- [/b]Select the INTERSECT [b]tool (Window 3)[/b] and mark a point [b]H[/b], point of intersection of the last two circles.  [br]-Select the RAY (HALF-LINE) [b]tool (Window 6) [/b]and click on [b]C [/b]and [b]H.[/b] This is the intended angle bisector.[br]- Select the [b]SHOW/HIDE OBJECT[/b][b] tool (Window 7)[/b] and hide the circles and the points [b]F [/b]and [b]G.[/b] [br]-Select the[b] ANGLE tool (Window 7)[/b]. Click on points[b] D[/b], [b]C[/b] and [b] H [/b]to mark the angle HEC ([b]the[/b] vertex of the angle will always be the second point clicked). Also measure the [b]HCE angle. [/b] What can you see?[br]- Select the [b]MOVE tool (Window 1). [/b]Move either point [b]E[/b] or line [b]d[/b]. What can you see?

In this construction suppose that we want to find the bisector of an angle whose vertex we are not seeing. [br]-Select the LINE [b]tool (Window 4)[/b] and draw a line [b]f [/b]so that it intersects the rays (half-lines) [b]i [/b]and  [b]j[/b].[br][b]- [/b]Select the [b]INTERSECTION tool (Window 3)[/b] and mark [b]H [/b]and [b]I[/b], which are the points of intersection of line [b]f [/b]with rays (half-lines)[b]i [/b]and [b]j[/b], respectively. [br]-Select the [b]POINT tool (Window 2)[/b] and draw a point [b]J [/b]on ray [b]i [/b](which is positioned to the left of the line[b] f[/b]). Also draw a point [b]K [/b]on ray [b]j [/b](which is positioned to the left of line[b] f[/b]).[br] [b]-[/b] Select the ANGLE BISECTOR[b] tool (Window 5)[/b]. Click on [b]J[/b], [b]H [/b]and[b] I[/b] to create the [b]angle bisector JHI. [/b] Also click on [b]K[/b],[b] I [/b]and[b] H[/b] to draw the angle bisector [b]KIH. [/b] [br][b]- [/b]Select the INTERSECTION [b]tool (Window 3)[/b] and mark [b]L[/b], which is the intersection  of the two angle bisectors.  [br][b]-[/b] Select the ANGLE BISECTOR[b] tool (Window 5)[/b]. Click on [b]D[/b], [b]H [/b]and[b] E[/b] to draw the angle bisector of angle [b]DHE. [/b] Also click on [b]E[/b],[b] I [/b]and[b] D[/b] to draw the angle bisector of angle [b]EID. [/b] [br][b]- [/b]Select the INTERSECT [b]tool (Window 3)[/b] and mark [b]L[/b], which is the intersection of the two angle bisectors.  [br]-Select the [b]LINE[/b] [b](Window 4)[/b] and click on [b]L [/b]and [b]M.[/b] This is the desired angle bisector. In order to verify this,[br]check the [b]HIDE / SHOW VERTEX box. [/b] [br]-Select the [b]MOVE tool (Window 1)[/b] Move either point [b]E[/b] or line [b]d[/b]. What can you see?