Question

which statements are true regarding the symmetry of the isosceles trapezoid? choose three correct answers. the trapezoid has rotational symmetry of order 2. the trapezoid has 1 line of reflectional symmetry. the trapezoid has rotational symmetry of order 1. the trapezoid has 2 lines of reflectional symmetry. the line of symmetry is a vertical line.

Explanation:

Step1: Recall isosceles trapezoid properties

An isosceles trapezoid has 1 line of reflectional symmetry which is the line that passes through the mid - points of the non - parallel sides. It has no rotational symmetry (order of rotational symmetry is 1 means it looks the same only after a full 360 - degree rotation which is true for all shapes, and we usually look for non - trivial rotational symmetry).

Step2: Evaluate statements

The trapezoid does not have rotational symmetry of order 2. It has 1 line of reflectional symmetry and no non - trivial rotational symmetry (so not rotational symmetry of order 1 in a non - trivial sense). And it does not have 2 lines of reflectional symmetry. The correct statement is that the trapezoid has 1 line of reflectional symmetry.

Answer:

The trapezoid has 1 line of reflectional symmetry.