Question

Trapezoid W Z Y X has equal angle measures at angle X W Z and W Z Y. Sides X W and Y Z are equal.
Which statements are true regarding the symmetry of the isosceles trapezoid? Check all that apply.

The trapezoid has 1 line of reflectional symmetry.
The trapezoid has 2 lines of reflectional symmetry.
The trapezoid has rotational symmetry of order 1.
The trapezoid has rotational symmetry of order 2.
The line of symmetry is a vertical line.

Answer 1

True:
- The trapezoid has 1 line of reflectional symmetry.
- The trapezoid has rotational symmetry of order 1.
- The line of symmetry is a vertical line (assuming the bases are drawn horizontal).

False:
- The trapezoid has 2 lines of reflectional symmetry. (Only one unless it is a rectangle.)
- The trapezoid has rotational symmetry of order 2. (A 180° rotation would swap unequal bases, so it fails unless the trapezoid is actually a parallelogram/rectangle.)