Perpendicular Lines
Perpendicular Line Construction through a point on the line
Follow these steps to construct a perpendicular line to AB through a point on the line, C.
1) Using the POINT TOOL, mark point D on segment AC.
2) Using the COMPASS TOOL, create a circle with radius CD and center C.
Select the COMPASS TOOL, click on C, then D, then C.
3) Using the POINT TOOL, mark point E at the intersection of circle C and segment AB.
Next we will create the perpendicular bisector of segment DF. Follow the steps to create below if you don't remember how to construct it.
4) Using the COMPASS TOOL, create a circle with radius ED and center E.
Select the COMPASS TOOL, click on E, then D, then E.
5) Using the COMPASS TOOL, create a circle with radius FD and center D.
Select the COMPASS TOOL, click on E, then D, then D again.
6) Using the POINT TOOL, Mark where circles E and D intersect as F and G.
F and G should be black, not purple. If the wrong circle get marked drag D to change the circles to make the intersection more apparent.
6) Using the LINE TOOL, draw a line that passes through F ang G.
Construction #1
Perpendicular Line Construction through a point off the line
Follow these steps to construct a perpendicular line to AB through a point not on the line, C.
1) Using the POINT TOOL, mark point D on segment AB.
2) Using the COMPASS TOOL, create a circle with radius CD and center C.
3) Using the POINT TOOL, mark point F at the intersection of circle C and segment AB.
Next we will create the perpendicular bisector of segment DF. Follow the steps to create below if you don't remember how to construct it.
4) Using the COMPASS TOOL, create a circle with radius FD and center F.
5) Using the COMPASS TOOL, create a circle with radius FD and center D.
6) Using the LINE TOOL, draw a line that passes through C and the intersections of circles F and D.