17
practice examMultiple Choice

Practice Exam

Question 17 • Geometry

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

Answer
A
An isosceles triangle has an order 0 rotational symmetry because there is no angle at which it can be rotated onto itself.
B
An isosceles triangle has an order 3 rotational symmetry because it has 3 angles.
C
An isosceles triangle has an order 2 rotational symmetry because it has 1 pair of congruent angles.
D
An isosceles triangle has an order 1 rotational symmetry because it does not have all congruent angles.

Explanation

A shape’s rotational symmetry order is the number of times it matches itself during a full 360° turn. An isosceles triangle matches its original position at 360°, but no smaller rotation maps it onto itself, so its order is 1. Therefore, “an isosceles triangle has an order 1 rotational symmetry” is correct.

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