Question

how many lines of symmetry (if any) does this figure have and what is the rotational symmetry (if any) does it have to where it could \map onto itself\? isosceles trapezoid 2 lines of symmetry and 180 degrees rotational symmetry 3 line of symmetry and 180 degrees of rotational symmetry 2 lines of symmetry and no rotational symmetry 1 line of symmetry and no rotational symmetry

Explanation:

Step1: Define line of symmetry

A line of symmetry divides a figure into two congruent parts. For an isosceles trapezoid, there is one vertical line that passes through the mid - points of the bases, which divides it into two mirror - image halves.

Step2: Analyze rotational symmetry

Rotational symmetry is when a figure can be rotated about a point and map onto itself. An isosceles trapezoid does not map onto itself when rotated by any non - zero angle less than 360 degrees other than 360 degrees. So it has no rotational symmetry (excluding 360 - degree rotation which is true for all figures).

Answer:

1 line of symmetry and NO Rotational symmetry