The currently of symmetry in a quadrilateral space the imaginary lines passing with the center of the quadrilateral. They division the square into similar halves.

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How many Lines that Symmetry go a quadrilateral Have

How numerous Lines the Symmetry does a square Have

Concept: together we know, a square is any type of shape having 4 sides, the does not have a fixed number of symmetrical lines for every its shapes. However, we deserve to determine the variety of lines of the contrary for any type of quadrilaterals by folding that form along the currently such that the resulting forms are identical halves of the initial figure.

Explanation: because that example, take it a square and also fold the shape over any type of of the diagonal, the horizontal segments, and the upright segments. We will get 4 such currently in a square that divide the square into comparable halves. Hence a square has 4 lines that symmetry. Similarly, a rectangle has only two lines that symmetry, together we have the right to fold it one of two people horizontally or vertically. Try to fold the rectangle over any kind of of the diagonals. What have you found?

Repeat the above procedure for all various other special quadrilaterals such together parallelogram, rhombus, trapezoid, and kite and also note the results. Walk your an outcome match v the results provided above?


Q1. What quadrilateral has no lines of symmetry?

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

Q2. What quadrilaterals have two lines of symmetry?

Ans. Rectangle and rhombus have specifically two lines or symmetry.

Q3. What square has 4 lines that symmetry?

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

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

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

Q5. What quadrilateral has one line of symmetry yet no rotational symmetry?

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

Q6. What quadrilateral has a horizontal line of symmetry but 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 no present of symmetry.

Q9. How many lines the symmetry does a regular quadrilateral have?

Ans. Square gift the only constant quadrilateral that has 4 lines the symmetry.

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

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

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