Home > Construct with GeoGebra -> Compass and Straightedge -> #5 Construct a Perpendicular (Normal) -> HELP
Do the givens. |
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Draw a line by clicking twice in drawing pad. |
Point A
Point B
a=Segment[A,B]
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Label: Use right-click to hide/show labels on points and to rename the line m.
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Make A the midpoint of line segment CB |
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Draw circle with radius AB and center A by clicking on points A, B and A. |
Circle c=Circle[A, Segment[A, B] |
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Draw point C by clicking on left intersection point of circle c and line m. (A is midpoint of CB.)
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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. |
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Draw a fourth point between A and B. (This makes it bigger than 1/2 of CB.) |
Point D
D=Point[m]
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Draw 2 circles with radius CD - one with center C and other with center B. |
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Draw circle with radius CD and center C by clicking on points C, D and C. |
Circle d=Circle[C, Segment[C, D] |
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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
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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).
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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.
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Check construction. |
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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. |
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