Symmetrical Designs — Important Questions

False

A rectangle has only 2 lines of symmetry: one vertical and one horizontal through the center. A square has 4 lines of symmetry (2 through opposite sides and 2 through diagonals), but a rectangle does not have diagonal symmetry unless it's a square.

4

A square looks the same 4 times during one complete rotation: at 0°, 90°, 180°, and 270°. This is because a square has 4-fold rotational symmetry due to its 4 equal sides and angles.

True

An equilateral triangle has 3-fold rotational symmetry. It looks the same after rotating by 1/3 of a full turn (120°), 2/3 of a turn (240°), and a complete turn (360°). This is because all three sides and angles are equal.

Letter S, Letter N, Letter Z

Letters S, N, and Z have point symmetry (180° rotational symmetry) - they look the same when rotated by half a turn. Letter P does not have this property as it looks different when rotated 180°.