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A regular polygon with x sides has x lines of symmetry. Each line of symmetry passes through a vertex and the midpoint of the opposite side. For example, a regular hexagon has 6 lines of symmetry, one for each pair of opposite sides. The formula for calculating the number of lines of symmetry in a regular polygon is equal to the number of sides x.
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What shape has 5 sides and more than 1 line of symmetry?
It is a regular pentagon!
True or false a polygon has sides that are line segments?
All polygon sides are segments of lines.
Which polygon has line symmetry but not rotational symmetry?
A kite, for example.A kite, for example.A kite, for example.A kite, for example.
Which triangle has one line of symmetry?
An ISOSCELES TRiangle. The line of symmetry is from the angle of the two equal adjacent sides, to the mid-point of the NON-equal side.
In a regular polygon the ratio of the measure of the exterior angle to the measure of the adjacent interior angle is 4 to 1 how many sides does the polygon have Please show your work?
This is not possible for a normal regular polygon. (A regular polygon has all equal angles and all equal sides. A normal polygon has no intersecting edges.)The smallest regular polygon is an equilateral triangle (a three sided polygon), whose exterior angle measure is twice the measure of its interior angle. A four-sided polygon (a square) has equal interior and exterior angle measures of 90⁰. Starting from a five-sided polygon, the exterior angle measure is smaller than the interior angle measure.Let's assume that the given information is true. So we need to verify it.Let's say that the interior angle of the regular polygon has a measure of x degrees, and the measure of the exterior angle of that polygon is 4x degrees.Since the sum of the interior and the exterior angles of the polygon is 180 degrees (a straight line), the interior angle is 36 degrees.4x + x = 1805x = 1805x/5 = 180/5x = 36The sum of the angles of a polygon = 180⁰(n - 2), where n is the number of the sides of the polygon.The measure of one of the angles of a polygon = 180⁰(n - 2)/n. Substituting the angle measure of 36⁰ into this formula, we have:36⁰ = 180⁰(n - 2)/n (multiply by n to both sides)36⁰n = 180⁰(n - 2)36⁰n = 180⁰n - 360⁰ (add 360⁰ and subtract 36⁰n to both sides)360⁰ = 144⁰n (divide by 144⁰ to both sides)2.5 = n !!That means that a such normal polygon does not exist.
How many line of symmetry does a regular polygon with 22-sides have?
22
How many lines of symmetry does a regular polygon have?
A regular polygon has a number of lines of symmetry equal to the number of its sides. For example, a regular pentagon has 5 lines of symmetry, while a regular hexagon has 6. Each line of symmetry divides the polygon into two congruent halves, reflecting the shape across the line.
How does the number of sides in a regular polygon relate to the number of line of symmetry in it?
The two numbers are the same.
How many lines of symmetry does a regular polygon have with 22 sides?
22
What shape has 5 sides and 1 line of symmetry?
Ah, what a lovely question! A shape with 5 sides and 1 line of symmetry is called a pentagon. It's like a beautiful little house with one side that can be folded perfectly in half to match up. Isn't it just delightful to explore the symmetry and harmony in nature's creations?
What polygon has rotational and line symmetry?
All regular polygons do.
How do you know how many lines of symmetry there would be in any given regular pentogon.?
In any regular polygon with an odd number of sides, a straight line from a vertex to the mid-point of the opposite side is a line of symmetry. So, for a pentagon, the answer is 5.
Does a shape have to be a regular polygon in order to have rotational symmetry?
A line segment would have rotational symmetry.
What is the name of a polygon with 4 sides and two line of symmetry?
An isosceles trapezoid.
What kinds of polygons are symmetrical?
All regular polygons A polygon is symmetrical if its sides that cross the line of symmetry are halved by the line of symmetry and if the sides that do not cross the line of symmetry have the same positions in space, the same lengths, and the same angles with their neighboring sides as do the sides on the other side of the line of symmetry. The only symmetrical triangles are isosceles triangles (equilateral triangles are isosceles). The only symmetrical quadrilaterals are squares, rectangles, rhombi (the line of symmetry connects either pair of opposite corners), isosceles trapezoids, and kites.
Do polygons have to have one line of symmetry?
The number of lines of symmetry in a polygon corresponds to the number of sides it has. If a polygon has n sides, then its symmetry will be n lines of symmetry and it will have one point of symmetry. A pentagon has five lines of symmetry, nonagon has 9, n-gon has n lines of symmetry, so on and so forth.
What shape has atleast one line of symmetry?
any regular polygon e.g a circle
