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Which statements are true about the lines of symmetry of a regular pentagon? Check all that apply. a Every line bisects a vertex angle. b Every line connects the midpoints of 2 sides c Every line is perpendicular to a side. d Every line bisects a side e Every line connects two vertices.

Kathy Robinson

in Mathematics

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1 answer

Chelsea Hayes on January 18, 2018

The correct answers are: ), Each line which divides an angle of the vertex. (c) Each line is perpendicular to a side. d ), Each line which divides a side .Explanation:The lines of symmetry are the lines through which it can "double" the figure in half. In order to be exactly in the middle of a pentagon, each of these lines are needed to go from a vertex to the opposite side.Since it divides the figure in two halves, this means that bisects the vertex angle as well as the opposite side.To bisect both of these, the line should be perpendicular to the opposite side.

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