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 SegmentsSegments that have the same length.

EF means the distance from E to FHG 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 SegmentsSegments that have the same length.

HG

EF = HG

and represent a geometric figure EF

HGEF The above statement reads:Segments EF is CONGRUENT to segment HG

Notice the difference in Notation:

HGEF

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