Construction Techniques 4: Parallel and Perpendicular Lines
Geometry
6.1
Warm-up
Construction Catalog
On the paper provided, complete the construction assigned to you.
Look at all 4 constructions. What else do you think you can construct using these techniques?
6.2
Activity
Standing on the Shoulders of Giants
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.
6.3
Activity
Parallel Constructions Challenge
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 .
Student Lesson Summary
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:
Perpendicular lines are lines that meet at a 90 degree angle.
Parallel lines are lines that don’t intersect. One way to make parallel lines is to draw 2 lines perpendicular to the same line.
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.
Glossary
None
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