The currently of the opposite in a quadrilateral space the imagine lines passing through the center of the quadrilateral. They division the quadrilateral into comparable halves.

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How countless Lines that Symmetry go a quadrilateral Have

How countless Lines of Symmetry go a square Have

Concept: as we know, a square is any shape having 4 sides, it does not have a fixed number of symmetrical lines for every its shapes. However, we can determine the variety of lines of symmetry for any quadrilaterals by folding that form along the present such the the resulting forms are similar halves that the original figure.

Explanation: because that example, take it a square and also fold the form over any of that is diagonal, the horizontal segments, and the upright segments. We will get four such currently in a square that division the square into comparable halves. Hence a square has 4 lines of symmetry. Similarly, a rectangle has actually only 2 lines of symmetry, together we deserve to fold it either horizontally or vertically. Shot to fold the rectangle over any type of of that is diagonals. What have actually you found?

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


Q1. What quadrilateral has actually no lines of symmetry?

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

Q2. What quadrilaterals have two lines of symmetry?

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

Q3. What quadrilateral has 4 lines of symmetry?

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

Q4. I beg your pardon quadrilaterals have diagonals that are not currently of symmetry?

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

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

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

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

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

Q8. How plenty of lines the symmetry walk an irregular quadrilateral have?

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

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

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

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Q10. What quadrilateral has only one heat of symmetry?

Ans. One isosceles trapezoid has only one line of symmetry.

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