Mathomat WB3

# Chalkboard Geometry: Construct a Perpendicular Line

video tutorial part
5
of

## Learning Geometry with a Circle Arc Template

with

### Chris Tisdell

Mathematician & Educator

### Materials you will need:

Mathomat WB3 Template
Whiteboard or Blackboard
Whiteboard Markers or Chalk
Whiteboard / Blackboard Eraser

### What you will learn in this tutorial:

Chris demonstrates a classic geometric construction problem: drawing a perpendicular line from a given point C to a line segment AC using a circle arc template and a straightedge. He does this on a blackboard and a piece of chalk. He highlights the step-by-step process involved in achieving this construction.

1. Placing the Circle Arc Template: Chris centres the circle arc template at point C and uses it to draw an arc that intersects line segment AB at two points.
2. Perpendicular Bisector Construction: The construction now resembles the construction of a perpendicular bisector. By drawing arcs from the two new points, he establishes two points (including the point C) as the intersection of these arcs.
3. Drawing the Perpendicular Line: Finally, Chris uses the straight edge to draw the line segment from C to the previous new point, which is perpendicular to line segment AB as required.

So, there you have it - a beautiful, perfectly straight line that starts from a point, C, and is perpendicular to the line segment AB. This construction is a classic problem in geometry. It hows us how lines and points can come together to create something new and wonderful.

### Chris Tisdell

Mathematician & Educator
Chris, a mathematician and educator, is an academic advisor to Mathomat. Chris approached us in 2021 with an interest in the circle templates in Mathomat...
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