Question

drag each shape to the correct bucket to tell what type of symmetry, if any, the shape has. line symmetry both line and rotational symmetry no symmetry

Explanation:

• Square: A square has 4 lines of symmetry (vertical, horizontal, and two diagonal). It also has rotational symmetry of order 4 (rotating by \(90^{\circ}, 180^{\circ}, 270^{\circ}\) around its center maps it onto itself). So it has both line and rotational symmetry.
• Regular Hexagon: A regular hexagon has 6 lines of symmetry (3 through opposite vertices and 3 through mid - points of opposite sides). It has rotational symmetry of order 6 (rotating by \(60^{\circ}, 120^{\circ},\cdots,300^{\circ}\) around its center maps it onto itself). So it has both line and rotational symmetry.
• Isosceles Trapezoid: An isosceles trapezoid has 1 line of symmetry (the line that passes through the mid - points of the non - parallel sides). It does not have rotational symmetry (except for \(360^{\circ}\) rotation which is trivial for all shapes). So it has line symmetry.
• Scalene Triangle: A scalene triangle has no lines of symmetry (since all its sides and angles are of different measures). It also has no rotational symmetry (except for \(360^{\circ}\) rotation). So it has no symmetry.

Answer:

• Square: Both Line and Rotational Symmetry
• Regular Hexagon: Both Line and Rotational Symmetry
• Isosceles Trapezoid: Line Symmetry
• Scalene Triangle: No Symmetry