Asked by: Lourenco Hafemann
technology and computing programming languages

Do all quadrilaterals have a line of symmetry?

Last Updated: 12th January, 2020

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A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation is said to have rotational symmetry. Every four-sided polygon is a quadrilateral.

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Furthermore, which quadrilaterals have no lines of symmetry?

A parallelogram is a quadrilateral with no axis of line symmetry. The opposite sides of a parallelogram are equal and parallel.

do all Trapeziums have a line of symmetry? 0

Also to know is, how many lines of symmetry do Quadrilaterals have?

Quadrilaterals

Square (all sides equal, all angles 90°) Rectangle (opposite sides equal, all angles 90°) Irregular Quadrilateral
4 Lines of Symmetry 2 Lines of Symmetry No Lines of Symmetry

Which figure has no line of symmetry?

Some figures like scalene triangle and parallelogram have no lines of symmetry.

Related Question Answers

Dennise Luehrs

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What is a line of symmetry in math?

The "Line of Symmetry" (shown here in white) is the imaginary line where you could fold the image and have both halves match exactly. See: Symmetry. Reflection Symmetry.

Felina Figueres

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Myles Plangger

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What is a symmetrical quadrilateral?

A line that reflects a figure onto itself is called a line of symmetry. A figure that can be carried onto itself by a rotation is said to have rotational symmetry. Every four-sided polygon is a quadrilateral. Some quadrilaterals are symmetric about their diagonals.

Crina Rosich

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What are the lines of symmetry?

The line of symmetry can be defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Szilvia Mamgain

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Eladia Garder

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What is a quadrilateral shape?

Quadrilateral. In Euclidean plane geometry, a quadrilateral is a polygon with four edges (or sides) and four vertices or corners. Sometimes, the term quadrangle is used, by analogy with triangle, and sometimes tetragon for consistency with pentagon (5-sided), hexagon (6-sided) and so on.

Lowell Diest

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What quadrilateral has 3 lines of symmetry?

We reckon there is no quadrilateral with only three lines of symmetry because you can't have three pairs of equal edges (because that's six edges!) Finally we looked at a square. We knew that it would have four lines of symmetry. We'd already discovered that the rhombus had only two lines of symmetry.

Walfrido Nour

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Aduen Dudnik

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Is a rectangle perpendicular?

As you can see from the pictures to the left, the diagonals of a rectangle do not intersect in a right angle (they are not perpendicular). (Unless the rectangle is a square.) And the angles formed by the intersection are not always the same measure (size). Opposite central angles are the same size (they are congruent.)

Venanci Ravenhorst

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Is the number 5 symmetrical?

5 has no symmetry.

Amadeo Fradin

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Which quadrilateral is a trapezoid?

Some define a trapezoid as a quadrilateral having only one pair of parallel sides (the exclusive definition), thereby excluding parallelograms. Others define a trapezoid as a quadrilateral with at least one pair of parallel sides (the inclusive definition), making the parallelogram a special type of trapezoid.

Barbaro Criville

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How many lines of symmetry does a circle?

A circle has infinite lines of symmetry. Likewise, a triangle has three lines of symmetry, while rectangle and square have four such lines which divide them into identical parts.

Benito Martorana

Teacher

How many lines of symmetry does a trapezoid have?

0

Berta Viscarret

Teacher

How do you find area?

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Ivanildo Boughaba

Reviewer

What type of symmetry does a quadrilateral have?

Answer: Line symmetry , point symmetry and rotational symmetry. Step-by-step explanation: We know that a regular polygon has all the sides equal. A square is a regular quadrilateral which has four equal sides and angles.

Roscoe Grzechowia

Reviewer

Has at least one line of symmetry?

One shape that has at least one line of symmetry is a rectangle. A rectangle has two lines of symmetry. Other examples of shapes that have at least one line of symmetry include a square, with four lines of symmetry, and an equilateral triangle, with three lines of symmetry.

Meiying Landatorre

Reviewer

Does a trapezium have 2 lines of symmetry?

A trapezium can be drawn in different ways, so the properties can vary, but it must have exactly one pair of parallel sides. Question: It will have 0 lines of reflectional symmetry. It has 2 lines of reflectional symmetry, and order 2 rotational symmetry.

Leovigildo Arminda

Reviewer

Does a circle have rotational symmetry?

The order of rotational symmetry of a circle is, how many times a circle fits on to itself during a full rotation of 360 degrees. A circle has an infinite 'order of rotational symmetry'. In simplistic terms, a circle will always fit into its original outline, regardless of how many times it is rotated.

Clay Valiev

Supporter

Why parallelogram has no lines of symmetry?

The lines of symmetry of a parallelogram must either be a diagonal of the parallelogram or must be bisectors of opposite sides. There is no way to draw such lines through a general parallelogram and have it produce mirror images on either side of the line. Thus, it has no lines of symmetry.