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2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.

2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Required Additional Exercises Read and study Euclid's constructions of: an equilateral triangle, the bisection of an angle, the bisection of a straight line segment, and the construction of a perpendicular thru a given point. They all may be found in the article http://mypages.iit.edu/~maslanka/24Prop.pdf Then solve the following two construction problems in the style of Euclid. 1. At a given point on a given line describe a compass/straight edge construction of an angle equal to a given angle. Also, provide a proof that your construction is valid by using properties of congruent triangles. 2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.
Transcribed Image Text:Required Additional Exercises Read and study Euclid's constructions of: an equilateral triangle, the bisection of an angle, the bisection of a straight line segment, and the construction of a perpendicular thru a given point. They all may be found in the article http://mypages.iit.edu/~maslanka/24Prop.pdf Then solve the following two construction problems in the style of Euclid. 1. At a given point on a given line describe a compass/straight edge construction of an angle equal to a given angle. Also, provide a proof that your construction is valid by using properties of congruent triangles. 2. On a given line segment describe a compass/straight edge construction of a perpendicular bisector. Then provide a proof that your construction is valid by using properties of congruent triangles.
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