1. The problem asks to identify quadrilaterals based on their symmetry properties.
2. (a) A quadrilateral with rotational symmetry of order 2 but no lines of symmetry is called a **rhombus**. This means it looks the same after a rotation of 180 degrees but does not have any mirror symmetry.
3. (b) A quadrilateral with exactly one line of symmetry is called a **kite**. This means it can be folded along one line so that the two halves match exactly.
4. For the third question: A quadrilateral whose diagonals are the only lines of symmetry and that has rotational symmetry of order 2 is called a **rectangle**.
Explanation: A rectangle has two lines of symmetry along its diagonals and also has rotational symmetry of order 2 (180 degrees). The diagonals act as lines of symmetry, and no other lines serve this purpose.
Final answers:
- (a) Rhombus
- (b) Kite
- (c) Rectangle
Quadrilateral Symmetry
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