Question

which statement describes the order of rotational symmetry for an isosceles triangle? 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 order is the number of times a figure coincides with itself during a \(360^{\circ}\) rotation. An isosceles triangle (non - equilateral) only coincides with itself when rotated \(360^{\circ}\) (order 1). Since its angles are not all congruent (unlike an equilateral triangle which has order 3), it can't map onto itself with rotations less than \(360^{\circ}\).

Answer:

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