1.1e – Constructing Segments & Lines G-CO.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string,

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Presentation transcript:

1.1e – Constructing Segments & Lines G-CO.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; bisecting a segment; 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. At the end of this lesson you will be able to: construct midpoints, congruent segments, and parallel lines

Congruent Segments Segments that have the same length. EF means the distance from E to F HG means the distance from H to G EF = HG This statement reads: The distance from E to F is equal to the distance from H to G The red tick marks are used to show congruent segments

Congruent Segments Segments that have the same length. EF = HG and represent a geometric figure The above statement reads: Segments EF is CONGRUENT to segment HG Notice the difference in Notation:

Construction: A way of creating a figure that is more precise Examples of tools used to make constructions: -Ruler -Compass -Straightedge (ruler) -Protractor -Dynamic software -Etc.

Copying a segment