حل السؤال 2، 4024/12 مايو/يونيو 2021: محاور التماثل

1. 1Hexagon: a line through the midpoints of opposite sides cuts one black triangle and the opposite white triangle in half and swaps the others colour-for-colour, so it is a mirror line; there are 3 such lines
2. 2(Lines through opposite vertices swap black and white triangles, so they are not mirror lines.) 3 lines of symmetry
3. 3Turning it by 120° takes each black triangle onto a black one, so rotational symmetry of order 3
4. 4Square: no mirror line keeps the shading, so 0 lines of symmetry
5. 5Turning it by 180° about the centre gives the same pattern (but 90° does not), so rotational symmetry of order 2

AnswerLeft shape (hexagon): 3 lines of symmetry, rotational symmetry of order 3 Right shape (square): 0 lines of symmetry, rotational symmetry of order 2