The lines of symmetry in a quadrilateral are the imaginary lines passing with the facility of the quadrilateral. They divide the quadrilateral right into comparable halves.
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How Many type of Lines of Symmetry Does a Quadrilateral Have
Concept: As we know, a quadrilateral is any kind of form having 4 sides, it does not have actually a fixed variety of symmetrical lines for all its forms. However, we can identify the number of lines of symmetry for any type of quadrilaterals by folding that form alengthy the lines such that the resulting forms are identical halves of the original figure.
Explanation: For instance, take a square and also fold the form over any of its diagonal, the horizontal segments, and also the vertical segments. We will certainly obtain 4 such lines in a square that divide the square right into similar halves. Therefore a square has four lines of symmeattempt. Similarly, a rectangle has only two lines of symmetry, as we can fold it either horizontally or vertically. Try to fold the rectangle over any type of of its diagonals. What have you found?
Repeat the over procedure for all other unique quadrilaterals such as parallelogram, rhombus, trapezoid, and also kite and also note the results. Does your outcome match through the outcomes given above?
Q1. What quadrilateral has actually no lines of symmetry?
Ans. Parallelogram is a quadrilateral through no lines of symmetry.
Q2. What quadrilaterals have actually 2 lines of symmetry?
Ans. Rectangle and also rhombus have actually specifically two lines or symmetry.
Q3. What quadrilateral has actually four lines of symmetry?
Ans. Square is the quadrilateral that has actually four lines of symmetry.
Q4. Which quadrilaterals have diagonals that are not lines of symmetry?
Ans. Parallelogram and trapezoid (except isosceles trapezoid) have actually diagonals that are not lines of symmetry.
Q5. What quadrilateral has actually one line of symmeattempt however no rotational symmetry?
Ans. Kite is the quadrilateral through one line of symmeattempt however no rotational symmeattempt.
Q6. What quadrilateral has actually a horizontal line of symmetry however no vertical line of symmetry?
Ans. Kite is the quadrilateral with a horizontal line of symmetry however no vertical line of symmetry.
Q8. How many lines of symmetry does an ircontinuous quadrilateral have?
Ans. An ircontinual quadrilateral has no lines of symmetry.
Q9. How many kind of lines of symmeattempt does a continuous quadrilateral have?
Ans. Square being the just constant quadrilateral it has actually 4 lines of symmetry.
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Q10. What quadrilateral has only one line of symmetry?
Ans. An isosceles trapezoid has just one line of symmeattempt.
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