The present of symmetry in a quadrilateral space the imagine lines passing through the center of the quadrilateral. They divide the quadrilateral into comparable halves.

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How plenty of Lines the Symmetry walk a quadrilateral Have

How numerous Lines of Symmetry does a quadrilateral Have

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

Explanation: because that example, take it a square and fold the shape over any of the diagonal, the horizontal segments, and also the upright segments. We will get four such present in a square that divide the square into comparable halves. Therefore a square has four lines that symmetry. Similarly, a rectangle has only two lines that symmetry, as we have the right to fold it either horizontally or vertically. Shot to wrinkles the rectangle over any type of of its diagonals. What have you found?

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


Q1. What quadrilateral has actually no present of symmetry?

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

Q2. What quadrilaterals have two present of symmetry?

Ans. Rectangle and rhombus have precisely two present or symmetry.

Q3. What square has four lines the symmetry?

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

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

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

Q5. What quadrilateral has actually one line of symmetry yet 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 line of symmetry?

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

Q8. How many lines of symmetry walk an irregular square have?

Ans. An rarely often, rarely quadrilateral has actually no lines of symmetry.

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

Ans. Square being the only constant quadrilateral it has 4 lines the symmetry.

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

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

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