The lines of the opposite in a quadrilateral are the imagine lines passing v the facility of the quadrilateral. They divide the square into similar halves.

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How numerous Lines of Symmetry walk a square Have

How countless Lines that Symmetry walk a quadrilateral Have

Concept: as we know, a quadrilateral is any kind of shape having 4 sides, the does not have actually a fixed variety of symmetrical lines for all its shapes. However, we can determine the variety of lines of the opposite for any quadrilaterals through folding that shape along the present such the the resulting shapes are identical halves of the original figure.

Explanation: because that example, take a square and also fold the form over any type of of its diagonal, the horizontal segments, and the upright segments. We will certainly get four such currently in a square that divide the square into comparable halves. For this reason a square has four lines of symmetry. Similarly, a rectangle has actually only 2 lines the symmetry, as we can fold it either horizontally or vertically. Shot to wrinkles the rectangle over any kind of of its diagonals. What have you found?

Repeat the over procedure for all other special square such together parallelogram, rhombus, trapezoid, and also kite and note the results. Does your an outcome match v the results offered above?


Q1. What quadrilateral has no present of symmetry?

Ans. Parallel is a quadrilateral with no present of symmetry.

Q2. What quadrilaterals have actually two currently of symmetry?

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

Q3. What quadrilateral has 4 lines that symmetry?

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

Q4. Which quadrilaterals have diagonals that room not present of symmetry?

Ans. Parallelogram and also trapezoid (except isosceles trapezoid) have actually diagonals that are not currently of symmetry.

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

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

Q6. What quadrilateral has a horizontal heat of symmetry however no vertical heat of symmetry?

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

Q8. How numerous lines of symmetry does an irregular quadrilateral have?

Ans. An irregular quadrilateral has actually no present of symmetry.

Q9. How countless lines the symmetry walk a continual quadrilateral have?

Ans. Square gift the only continual quadrilateral the has 4 lines the symmetry.

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Q10. What quadrilateral has only one heat of symmetry?

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

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