Symmetry — Unit test

Question 6 • CA-Common Core Geometry DVHS Sem. 1

Which statement describes the order of rotational symmetry for an isosceles triangle?

Answer

An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.

An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.

An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.

Explanation

Rotational symmetry counts how many times a shape matches itself during a full 360° turn. An isosceles triangle does not match itself at any turn smaller than 360°, so its rotational symmetry has order 1. Thus, the correct statement is that it has order 1; having two congruent angles does not give it order 2.

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