The lines of symmeattempt in a quadrilateral are the imaginary lines passing through the facility of the quadrilateral. They divide the quadrilateral right into similar halves.
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How Many kind of Lines of Symmeattempt Does a Quadrilateral Have
Concept: As we understand, a quadrilateral is any type of form having actually four sides, it does not have a fixed number of symmetrical lines for all its shapes. However, we deserve to identify the number of lines of symmeattempt for any kind of quadrilaterals by folding that form alengthy the lines such that the resulting forms are the same halves of the original number.
Explanation: For example, take a square and also fold the shape over any type of of its diagonal, the horizontal segments, and also the vertical segments. We will certainly gain 4 such lines in a square that divide the square right into equivalent halves. Hence a square has actually four lines of symmeattempt. Similarly, a rectangle has actually just two lines of symmetry, as we can fold it either horizontally or vertically. Try to fold the rectangle over any of its diagonals. What have actually you found?
Repeat the above procedure for all various other distinct quadrilaterals such as parallelogram, rhombus, trapezoid, and also kite and also note the results. Does your result match with the outcomes provided above?
Q1. What quadrilateral has actually no lines of symmetry?
Ans. Parallelogram is a quadrilateral through no lines of symmeattempt.
Q2. What quadrilaterals have two lines of symmetry?
Ans. Rectangle and rhombus have precisely 2 lines or symmeattempt.
Q3. What quadrilateral has 4 lines of symmetry?
Ans. Square is the quadrilateral that has 4 lines of symmeattempt.
Q4. Which quadrilaterals have diagonals that are not lines of symmetry?
Ans. Parallelogram and trapezoid (other than isosceles trapezoid) have diagonals that are not lines of symmetry.
Q5. What quadrilateral has one line of symmeattempt however no rotational symmetry?
Ans. Kite is the quadrilateral with one line of symmetry but no rotational symmetry.
Q6. What quadrilateral has actually a horizontal line of symmetry yet no vertical line of symmetry?
Ans. Kite is the quadrilateral with a horizontal line of symmeattempt yet no vertical line of symmeattempt.
Q8. How many kind of lines of symmetry does an ircontinuous quadrilateral have?
Ans. An ircontinual quadrilateral has no lines of symmetry.
Q9. How many lines of symmetry does a consistent quadrilateral have?
Ans. Square being the just continuous quadrilateral it has actually four lines of symmeattempt.
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Q10. What quadrilateral has actually only one line of symmetry?
Ans. An isosceles trapezoid has just one line of symmetry.
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