The present of symmetry in a quadrilateral room the imaginary lines passing through the facility of the quadrilateral. They divide the quadrilateral into comparable halves.

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How numerous Lines that Symmetry walk a square Have

How numerous Lines the Symmetry does a quadrilateral Have

Concept: as we know, a quadrilateral is any shape having four sides, that does not have actually a fixed number of symmetrical lines for every its shapes. However, we can determine the variety of lines of the opposite for any type of quadrilaterals through folding that form along the lines such that the resulting shapes are similar halves that the original figure.

Explanation: because that example, take a square and also fold the shape over any of its diagonal, the horizontal segments, and the upright segments. We will get four such currently in a square that division the square into similar halves. Hence a square has 4 lines the symmetry. Similarly, a rectangle has only 2 lines that symmetry, as we can fold it one of two people horizontally or vertically. Try to fold the rectangle over any of that is diagonals. What have actually you found?

Repeat the above procedure for all other special square such as parallelogram, rhombus, trapezoid, and also kite and also note the results. Go your result match v the results offered above?


Q1. What quadrilateral has actually no lines of symmetry?

Ans. Parallelogram is a quadrilateral through no present of symmetry.

Q2. What quadrilaterals have actually two lines of symmetry?

Ans. Rectangle and also rhombus have exactly two currently or symmetry.

Q3. What quadrilateral has four lines the symmetry?

Ans. Square is the quadrilateral that has 4 lines of symmetry.

Q4. I m sorry quadrilaterals have actually diagonals that space not currently of symmetry?

Ans. Parallelogram and trapezoid (except isosceles trapezoid) have diagonals that space not present of symmetry.

Q5. What quadrilateral has actually one heat of symmetry but no rotational symmetry?

Ans. Dragon is the quadrilateral through one line of symmetry but no rotational symmetry.

Q6. What quadrilateral has actually a horizontal line of symmetry yet no vertical heat of symmetry?

Ans. Dragon is the quadrilateral with a horizontal heat of symmetry but no vertical line of symmetry.

Q8. How many lines the symmetry does an irregular quadrilateral have?

Ans. An rarely often, rarely quadrilateral has no present of symmetry.

Q9. How plenty of lines of symmetry walk a constant quadrilateral have?

Ans. Square being the only continuous quadrilateral that has four lines that symmetry.

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Q10. What quadrilateral has actually only one line of symmetry?

Ans. An isosceles trapezoid has actually only one heat of symmetry.

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