The lines of symmetry in a quadrilateral room the imaginary lines passing with the facility of the quadrilateral. They division the quadrilateral into similar halves.

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How numerous Lines the Symmetry does a quadrilateral Have

How countless Lines the Symmetry does a square Have

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

Explanation: because that example, take a square and also fold the form over any of that diagonal, the horizontal segments, and the vertical segments. We will get 4 such lines in a square that divide the square into similar halves. Therefore a square has four lines of symmetry. Similarly, a rectangle has actually only two lines of symmetry, as we can fold it either horizontally or vertically. Shot to wrinkles the rectangle over any type of of that diagonals. What have actually you found?

Repeat the above procedure because that all other special quadrilateral such as parallelogram, rhombus, trapezoid, and kite and note the results. Does your result match through the results provided 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 currently of symmetry?

Ans. Rectangle and also rhombus have specifically two present or symmetry.

Q3. What square has 4 lines that symmetry?

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

Q4. I beg your pardon quadrilaterals have diagonals that room not present of symmetry?

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

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

Ans. Dragon is the quadrilateral with one line of symmetry however no rotational symmetry.

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

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

Q8. How many lines of symmetry go an irregular quadrilateral have?

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

Q9. How many lines of symmetry does a consistent quadrilateral have?

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

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

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

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