Constructions LT 1B: I can copy and bisect a segment and angle. I can construct the perpendicular bisector of a line segment and construct a line parallel to a given line through a point not on the line.

Investigate: Draw a straight line segment on your paper using the straight edge given. How (without measuring or folding) could you copy the segment. Write your process on the sheet.

History Euclidian Geometry was developed by a Roman citizen named Euclid.Euclid lived from approx. 330 to 260 BC and wrote a 13 volume book called Elements which illustrated all the concepts used in Geometric Construction Background- Why Didn’t He Just Use a Ruler 1. They had only positive whole numbers represented by Roman numerals (I, II, III, IV, V) - no negative numbers - no fractions or decimals -no zero So if the line were any length other than an even answer it could not be solved in Roman culture. Example: 5 / 2= 2.52. Had no measurement system with units so a line could not be measured.As a result they had to use other tools such as a compass and straight edge.

Constructions We will learn how to do six constructions. For each constructions, you will show the steps in your NOTES section of your notebook. Then you will summarize the process underneath the diagrams in your own words. Make sure to write clearly and label ALL steps.

I. Copy a Segment

II. Bisect a Line Segment

III. Bisect an Angle

IV. Copy an Angle

V. Perpendicular Bisector

VI. Parallel Lines

VI. Parallel Lines