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QuizMultiple Choice

Congruence: Part One — Test

Question 1 • Geometry: Concepts and Connections

Which statements are true about the reflectional symmetry of a regular heptagon? Choose two correct answers.

Answer
A
A line of symmetry will connect the midpoints of 2 opposite sides.
B
It has 7-fold symmetry.
C
It has only 1 line of reflectional symmetry.
D
A line of symmetry will connect a vertex and a midpoint of an opposite side.
E
A line of symmetry will connect 2 vertices.

Explanation

A regular heptagon has 7-fold rotational symmetry because a turn of 360° ÷ 7 maps it onto itself. Since it has an odd number of sides, each line of reflectional symmetry passes through one vertex and the midpoint of the opposite side. Thus “It has 7-fold symmetry” and “A line of symmetry will connect a vertex and a midpoint of an opposite side” are true; no symmetry line connects two vertices or the midpoints of two opposite sides.

AI-written and checked against the verified answer.

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