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Question
How many lines of symmetry does the parallelogram have?
How many lines of symmetry does the parallelogram have?
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Solution
The correct option is D None of these
The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares and rhombuses.A rectangle is a parallelogram with four right angles. This property allows it to have two lines of symmetry.A rhombus is a parallelogram with four equal sides. The number of lines of symmetry of a rhombus depends on whether it is a square or not. If it has four right angles, the rhombus is a square and thus has four lines of symmetry. If not, the rhombus only has two lines of symmetry.So the correct answer is option D.
The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrilateral with two pairs of parallel and equal sides, except for rectangles, squares and rhombuses.
A rectangle is a parallelogram with four right angles. This property allows it to have two lines of symmetry.
A rhombus is a parallelogram with four equal sides. The number of lines of symmetry of a rhombus depends on whether it is a square or not. If it has four right angles, the rhombus is a square and thus has four lines of symmetry. If not, the rhombus only has two lines of symmetry.
So the correct answer is option D.
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