Answered: riangle EFG given line segment EF?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Which set of construciton steps could be used to construct an isosceles triangle EFG given line segment EF?

A. Mark a third point G not on segment EF. Draw segments EG and FG

B. Label a point G on segment EF and construct a line perpendicular to EF through point G. Draw segments EG and FG.

C. Construct the perpendicular biesector of segment EF. Mark the intersection of this line and EF and label it G. Draw segments EG and FG.

D. Construct the perpendicular bisector of segments EF. Mark any point G on the perpendicular bisector except where it intersects EF. Draw segments EG and FG.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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