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Perpendicular Help

Page history last edited by LFS 10 years, 10 months ago

Home > Construct with GeoGebra -> Compass and Straightedge -> #5 Construct a Perpendicular (Normal) -> HELP


 
Do the givens.
Draw a line by clicking twice in drawing pad. Point A

Point B
a=Segment[A,B]

Label: Use right-click to hide/show labels on points and to rename the line m.
Make A the midpoint of line segment CB
Draw circle with radius AB and center A by clicking on points A, B and A. Circle c=Circle[A, Segment[A, B]
Draw point C by clicking on left intersection point of circle c and line m. (A is midpoint of CB.)
C=Intersect[c, m, 2].
Decorate: Right-click on circle, choose "Properties" and make it thin and dotted. Click on Close.
Get ready to draw circles with a radius bigger than 1/2 of CB.
Draw a fourth point between A and B.  (This makes it bigger than 1/2 of CB.) Point D

D=Point[m]

Draw 2 circles with radius CD - one with center C and other with center B.
Draw circle with radius CD and center C by clicking on points C, D and C. Circle d=Circle[C, Segment[C, D]
Draw circle with radius CD and center B by clicking on points C, D and B. Circle e=Circle[B, Segment[C, D]
Decorate: Right-click on either circle, choose "Properties". Make both circles red and dotted so you can find them. Click on Close.
Draw an intersection points of the circles
Draw point E by clicking on top (or bottom) intersection point of red circles d and e. E=Intersect[c, d, 2].
Draw perpendiular (normal).
Draw line through E and A by clicking on points E and A. a=Line[D,E]

Label: Use right-click to rename this line n.

Decorate: Right-click on any object, choose "Properties" and go for it!  When done, click on Close.

Check construction.
Click and drag point A (and/or point B). The line n should pass through A
and be perpendicular to line m.
Save construction. Command: File -> Save.

 

Home > Construct with GeoGebra -> Compass and Straightedge -> #5 Construct a Perpendicular (Normal) -> HELP

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