Embedded Files
Learning Targets:
I can construct a parallel line through a given point.
I can construct a perpendicular line through a given point.
Standards Addressed:
G-CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.
G-CO.D.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Warm-Up:
Warm-Up:
Let's review what constructions we have learned so far:
circles of a certain radius
lines and line segments through two points
regular hexagons
equilateral triangles
a perpendicular bisector of a given segment
a perpendicular line through a point on the given line
Cool Down:
Cool Down:
When we write the instructions for a construction, we can use a previous construction as one of the steps. We now know 2 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.
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