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Symmetry

Question 3 • CA-Common Core Geometry DVHS Sem. 1

What is an angle of rotation that maps the right square pyramid onto itself?

Answer
A
30 degrees
B
60 degrees
C
90 degrees
D
120 degrees
E
150 degrees

Explanation

A square has rotational symmetry every 90 degrees: rotating it by 90 degrees maps each vertex to the next one. A right square pyramid has the same symmetry around the axis through its apex and the center of its square base, so a 90-degree rotation maps the pyramid onto itself. The correct choice is 90 degrees.

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