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91Ó°ÊÓ

Point lies on the perpendicular bisector ofEF¯ . Write the theorem that justifies the statement that GE=GF.

Short Answer

Expert verified

The theorem that justifies the statement that GE=GFis that if a point lies on the perpendicular bisector of a segment, then the point will be equidistant from the endpoints of the segment.

Step by step solution

01

- Definition of perpendicular bisector.

The perpendicularbisector of a segment is a line or a segment that will be perpendicular to the given segment and will pass through the midpoint of the given segment.

02

- Description of step

As, point G lies on the perpendicular bisector ofEF¯ , therefore, the pointG will be equidistant from the points E and F .

03

- Write the theorem that justifies the statement thatGE=GF .

The theorem that justifies the statement that GE=GFis that if a point lies on the perpendicular bisector of a segment, then the point will be equidistant from the endpoints of the segment.

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