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A point of symmetry is a point around which a shape can be reflected without changing any of its characteristics.A.TrueB.False

Question

A point of symmetry is a point around which a shape can be reflected without changing any of its characteristics.

A. True
B. False

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Solution

Analysis and Detail

The statement describes a point of symmetry accurately. A point of symmetry is indeed a point in a shape where any point on one side of the shape, when reflected through the point, will land on the corresponding point on the opposite side. This reflection preserves the shape's characteristics.

Verification

In geometry, a shape is said to be symmetric about a point if it can be divided into two identical halves that are mirror images of each other with respect to that point.

Summary

Given the definition provided in the question, it indicates that a point of symmetry enables reflection around that point without altering the shape's characteristics. Therefore, the assertion in the question holds true.

Final Answer

A. True

This problem has been solved

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