Sections of the Cube
Construct the following figures according to the teacher's instruction.
Task 3.2
Investigate the possible shapes of the sections of a cube with the figures you constructed.
(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_yourname(scalene).ggb", where yourname is your name in English.
(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_yourname(isosceles).ggb".
(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_yourname(equilateral).ggb".
(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_yourname(shape).ggb" where "shape" is either "rectangle", "rhombus", "parallelogram", "trapezium" or "quadrilateral".
(e) 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_yourname(shape).ggb" where "shape" is either "pentagon" or "hexagon".