The geometric problem explored in this presentation involves constructing a perpendicular line segment to a given line segment that passes through a specified point on the given segment. This is a classic problem in geometry that has been studied for centuries. The challenge here is to achieve this construction accurately and safely, which is where the circle arc template comes in.
Chris begins by drawing a line segment AB and labelling its endpoints as A and B. The aim is to construct a line perpendicular to AB through a point C located on AB. To demonstrate this, he uses the circle arc template to draw an extended arc with centre C that intersects AB at two new points. The midpoint of DE, labelled as C, serves as the desired point of intersection for the perpendicular line segment.
The next steps involve forming a perpendicular bisector of DE which is constructed via a sequence of intersecting arcs whose points are joined to C via the straightedge.
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Get a glimpse of the tremendous potential for using Mathomat as an aid to teaching mathematics.
Using a series of Mathomat products and templates, learn maths and geometry with Pr. Chris Tisdell.
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