Draw, wherever possible, a rough sketch of
A triangle with at least two lines of symmetry and at least two angles of symmetry.
An equilateral triangle has 3 lines of symmetry (through each vertex to the midpoint of the opposite side) and 3 angles of symmetry (120°, 240°, 360°).
A triangle with only one line of symmetry but not having rotational symmetry.
An isosceles triangle has exactly one line of symmetry (from the vertex to the midpoint of the base) but no rotational symmetry because only 360° rotation brings it back to itself.
A quadrilateral with rotational symmetry but no reflection symmetry.
A parallelogram that is not a rectangle or rhombus has rotational symmetry of order 2 (angles 180°, 360°) but no lines of symmetry.
A quadrilateral with reflection symmetry but not having rotational symmetry.
An isosceles trapezium has one line of symmetry (perpendicular bisector of the parallel sides) but no rotational symmetry (only 360° brings it back to itself).
Explanation
(a) An equilateral triangle satisfies both conditions - it has multiple lines of symmetry and rotational symmetry. (b) An isosceles triangle has reflection symmetry but not rotational symmetry. (c) A general parallelogram has rotational symmetry but no reflection symmetry. (d) An isosceles trapezium has reflection symmetry but not rotational symmetry.