Circle Constructions - COMPLETED.docx - Geometric...

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Geometric ConstructionsGeometric constructions date back thousands of years to when Euclid, a Greek mathematicianknown as the “Father of Geometry,” wrote the bookElements. InElements, Euclid formulated thefive postulates that form the base for Euclidean geometry. To create all the figures and diagrams,Euclid used construction techniques extensively. A compass and straightedge are used to createconstructions. A compass is used to draw circles or arcs and a straightedge is used to drawstraight lines.As you complete the task, keep these questions in mind:How do you perform constructions related to circles? What theorems and explanationscan be used to justify these constructions?In this task, you will apply what you have learned in this lesson to answer these questions.DirectionsComplete each of the following tasks, reading the directions carefully as you go. Be sure to showall work where indicated, including inserting images of constructions created using the tool. If youare unable to take and insert screenshots of the construction tool, print this activity sheet andcreate the constructions by hand using a compass and straightedge.

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