Unit 1, Lesson 6
Construction Techniques 4: Parallel and Perpendicular Lines
Geometry
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Here is a line and a point not on the line. Use straightedge and compass moves to construct a line perpendicular to line that goes through point . Be prepared to share your reasoning.
Here is a line and a point not on the line. Use straightedge and compass moves to construct a line parallel to line that goes through point .
When we write the instructions for a construction, we can use a previous construction as one of the steps. We now know two new constructions that are made up of a sequence of moves:
Two figures of perpendicular lines. Figure on the left: Two congruent circles, each pass through the center of the other. A line through both centers extends beyond both circles. A blue line is drawn through the two circle's intersection points and a right angle is marked. The figure on the right is a pair of parallel lines with an intersecting blue line that is marked with two right angles.