Final answer:
The kite and the pentagon have rotational symmetry. The equilateral triangle and the isosceles triangle have at least one line of symmetry. The trapezoid does not have any lines of symmetry.
Step-by-step explanation:
The shapes that have rotational symmetry are the kite and the pentagon. A shape has rotational symmetry if it can be rotated less than 360 degrees and still appear the same. The kite has a rotational symmetry of 180 degrees while the pentagon has a rotational symmetry of 72 degrees.
Both the equilateral triangle and the isosceles triangle have at least one line of symmetry. An equilateral triangle has three lines of symmetry, while an isosceles triangle has one line of symmetry. The trapezoid does not have any lines of symmetry.