Construct the following figures according to the teacher's instruction.

Investigate the possible shapes of the sections of a cube with the figures you constructed.[br][br](a) Can the cube have a section in the shape of a scalene triangle (不等邊三角形)? If yes, save your figure with a scalene triangle in the file name "3.2[color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](scalene).ggb", where [/color][i]yourname[/i][color=#000000] is your name in English.[br][/color][color=#000000][br][/color][color=#000000](b) Can the cube have a section in the shape of an isosceles triangle (等腰三角形)? If yes, save your figure with an isosceles triangle in the file name "3.2[/color][color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000](isosceles).ggb".[br][br][/color][color=#000000](c) Can the cube have a section in the shape of an equilateral triangle (等邊三角形)? If yes, save your figure with an isosceles triangle in the file name "3.2[/color][color=#0000ff][color=#000000]_[i][color=#ff0000]yourname[/color][/i](equilateral).ggb".[br][br][/color][/color][color=#000000](d) Can the cube have a section in the shape of a rectangle (長方形), a rhombus (菱形), a parallelogram (平行四邊形), a trapezium (梯形) and a arbitrary quadrilateral (四邊形)? If yes, save your figure with the shape in the file name "3.2[/color][color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000]([/color][i]shape[/i][color=#000000]).ggb" where [/color][i]"[i]shape[/i]"[/i][color=#000000] is either "rectangle", "rhombus", "parallelogram", "trapezium" or "quadrilateral".[br][br][/color][/color][color=#000000](e) [color=#000000]Can the cube have a section in the shape of a pentagon (五邊形) a hexagon (六邊形)? If yes, save your figure with the shape in the file name "3.2[/color][color=#0000ff][color=#000000]_[/color][i][color=#ff0000]yourname[/color][/i][color=#000000]([/color][i]shape[/i][color=#000000]).ggb" where [/color][i]"[i]shape[/i]"[/i][color=#000000] is either "pentagon" or "hexagon".[/color][/color][br][/color][/color][color=#000000][br][/color][/color]