1. The problem asks for the name of a quadrilateral with rotational symmetry of order 2 and no lines of symmetry. 2. Rotational symmetry of order 2 means the shape looks the same after a rotation of 180 degrees. 3. No lines of symmetry means it cannot be reflected onto itself along any line. 4. A parallelogram fits these conditions: it has rotational symmetry of order 2 but generally no lines of symmetry. 5. Therefore, the answer is a parallelogram. 1. The problem asks for the name of a quadrilateral with rotational symmetry of order 2, two lines of symmetry, and angles that are not right angles. 2. Rotational symmetry of order 2 means the shape looks the same after a 180-degree rotation. 3. Two lines of symmetry means it can be reflected onto itself along two distinct lines. 4. A rhombus fits these conditions: it has rotational symmetry of order 2, two lines of symmetry (along its diagonals), and its angles are not necessarily right angles. 5. Therefore, the answer is a rhombus. 1. The problem asks for the name of a quadrilateral with one line of symmetry and diagonals that cross at right angles. 2. One line of symmetry means the shape can be reflected onto itself along exactly one line. 3. Diagonals crossing at right angles means the diagonals are perpendicular. 4. A kite fits these conditions: it has exactly one line of symmetry and its diagonals intersect at right angles. 5. Therefore, the answer is a kite. 1. The problem asks for the name of a quadrilateral with all sides equal and exactly two lines of symmetry. 2. All sides equal means the shape is equilateral. 3. Exactly two lines of symmetry means it can be reflected onto itself along two distinct lines. 4. A square fits these conditions: it has all sides equal and four right angles, and exactly two lines of symmetry along the diagonals. 5. Therefore, the answer is a square.