Which of the following figures has a linear symmetry but no rotational symmetry?

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CTET Paper 2 Maths & Science 6th Jan 2022 (English-Hindi)
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  1. Parallelogram
  2. Kite
  3. Rectangle
  4. Rhombus

Answer (Detailed Solution Below)

Option 2 : Kite
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Detailed Solution

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Given: 

The quadrilaterals are given.

Concept used: 

Line symmetry:

When we draw a line of segment exactly in the middle of a pattern or drawing, if one part is identical to the other.

Rotational symmetry:

When it looks the same after some rotation by a partial turn.

Calculation:

Option 1:

A parallelogram has no line of symmetry.

it has rotational symmetry of order 2.

Option 2:

F2 Vinanti Teaching 07.12.22 D1

A kite has only one line of symmetry.

but not rotational symmetry.

Option 3:

A rhombus have two line of symmetry.

it has rotation symmetry of order 2.

Option 4: 

rectangle have two line of symmetry.

it has rotational symmetry of order 2.

∴ Option 2 is correct. 

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