Symmetries in Shapes — Quiz

Question 6 • Geometry

Which diagram represents a line of symmetry for the seven-point star?

Answer

Image with description A regular 14-sided figure with 7 interior reflex angles and 7 interior acute angles. There is a dashed line through the top left interior acute angle and the bottom right interior acute angle.

Image with description A regular 14-sided figure with 7 interior reflex angles and 7 interior acute angles. There is a dashed line through the bottom left interior acute angle and the top right interior acute angle.

Image with description A regular 14-sided figure with 7 interior reflex angles and 7 interior acute angles. There is a dashed line through the bottom left interior reflex angle and the top right interior reflex angle.

Image with description A regular 14-sided figure with 7 interior reflex angles and 7 interior acute angles. There is a dashed line through the top left interior reflex angle and the bottom right interior acute angle.

Explanation

A seven-point star has an odd number of points, so each line of symmetry passes through one outer point and the opposite inward notch. The outer points are acute angles, and the inward notches are reflex angles. Choice D shows a line passing through a reflex angle and an acute angle, so it represents a line of symmetry.

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