Copy of IM Geo.1.6 Lesson: Construction Techniques 4: Parallel and Perpendicular Lines

Here is a line m and a point C not on the line. Use straightedge and compass tools to construct a line perpendicular to line m that goes through point C. Be prepared to share your reasoning.

The line segment AB has a length of 1 unit.

Construct its perpendicular bisector and draw the point where this line intersects our original segment [math]AB[/math]. How far is this new point from [math]A[/math]?

We now have 3 points drawn. Use a pair of points to construct a new perpendicular bisector that has not been drawn yet and label its intersection with segment [math]AB[/math]. How far is this new point from [math]A[/math]?

If you repeat this process of drawing new perpendicular bisectors and considering how far your point is from [math]A[/math], what can you say about all the distances?

Here is a line m and a point C not on the line. Use straightedge and compass moves to construct a line parallel to line m that goes through point C.

Information: Copy of IM Geo.1.6 Lesson: Construction Techniques 4: Parallel and Perpendicular Lines