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# Perpendicular Help

last edited by 10 years, 10 months ago

 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.

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