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Question
which statements are true about the lines of symmetry of a regular pentagon? select three options. every line connects two vertices. every line connects the midpoints of 2 sides. every line bisects a vertex angle. every line bisects a side. every line is perpendicular to a side.
A regular pentagon has 5 lines of symmetry. Each line of symmetry connects a vertex to the mid - point of the opposite side. So, each line bisects a vertex angle (since it divides the angle at the vertex into two equal parts), bisects a side (as it passes through the mid - point of the side), and is perpendicular to the side it bisects (by the property of the line of symmetry in a regular polygon).
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C. Every line bisects a vertex angle.
D. Every line bisects a side.
E. Every line is perpendicular to a side.