IM Geo.1.6 Lesson: Construction Techniques 4: Parallel and Perpendicular Lines
Each pair of shapes is congruent. Mentally identify a transformation or sequence of transformations that could take one shape to the other.
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 . How far is this new point from ?
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 . How far is this new point from ?
If you repeat this process of drawing new perpendicular bisectors and considering how far your point is from , what can you say about all the distances?