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Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
What is the rule for a dilation which makes the transformed polygon twice the size of the original polygon?
To dilate a polygon so that the transformed polygon is twice the size of the original, you need to use a scale factor of 2. This means that for each point of the original polygon, you will multiply its coordinates by 2, relative to a chosen center of dilation. The result will be a polygon that retains the same shape but has dimensions that are twice as large.
What polygon has twice as many sides as another polygon but have fewer than 8 sides?
A hexagon and a triangle.
What are 26 geometrical facts and features fom A to Z?
Angles are classed as acute, right, obtuse and reflex Base angles of an isosceles triangle are equal Circumference of a circle is its perimeter and has a full turn of 360 degrees Diameter of a circle is twice its radius Equilateral triangle has 3 equal sides and 3 equal angles of 60 degrees Fourteen degrees is an acute angle which is greater than 0 but less than 90 degrees Geometry is derived from a Greek word meaning land or earth measurement Heptagon is a 7 sided polygon Interior angles of any polygon are: (n-2)*180 whereas 'n' is number of its sides Joined line segments create angles and polygons Kite is a 4 sided quadrilateral Line segments have end points and a mid point Multi-faced shapes are polyhedrons Nonagon is a 9 sided polygon Obtuse angle is greater than 90 but less than 180 degrees Perpendicular lines meet at right angles which is 90 degrees Quadrilaterals are 4 sided polygons Right angle is 90 degrees and a reflex angle is greater than 180 degrees Square is a regular polygon with 4 equal sides and 4 equal right angles Triangle has 3 sides and 3 interior angles that add up to 180 degrees Undecagon is an 11 sided polygon Vertical opposite equal angles are created when lines cross as in X Width times breadth is the area of a rectangle X axis is the horizontal number line on the Cartesian plane Y axis is the vertical number line on the Cartesian plane Z as a letter has equal alternate angles
You are a polygon with twice as many sides as a triangle all of your sides are the same length what are you?
a hexagon
Which regular polygon the measure of the exterior angle is twice the measure of the interior angle?
In a regular polygon, the measure of the exterior angle is related to the interior angle by the equation: exterior angle = 180° - interior angle. If the exterior angle is twice the measure of the interior angle, we can set up the equation: exterior angle = 2 × interior angle. Solving this gives us the equation: 180° - interior angle = 2 × interior angle, leading to 180° = 3 × interior angle, or interior angle = 60°. This corresponds to a regular hexagon, as it has interior angles of 120° and exterior angles of 60°.
What is the name of the regular polygon whose interior angles are twice its exterior angles?
2x+x=180 3x=180 x=180/3 x=60 n=360/60 n=6sides it's a Hexagon
If the sum of the measures of the interior angles of a polygon is twice the sum of its exterior angles how many sides does it have?
sum of exterior angles in a polygon is always equal to 3600,sum of all the interior angles is given by (n-2)1800, where n is the number of sides of the polygon.According to the question,(n-2)1800=2(3600)n-2=4so n=6answer:6
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.
I am a polygon with twice as many sides as a triangle all of my sides are the same lenght what am i?
A regular hexagon
What is a polygon with twice as many sides as a triangle and all your sides are the same length. what are you?
A regular hexagon
What is a figure with twice as many sides as a triangle?
A figure with twice as many sides as a triangle is a hexagon. A triangle has 3 sides, so double that would be 6 sides. A hexagon is a polygon with 6 sides and 6 angles. It is a regular polygon with all sides and angles congruent.
What is the rule for a dilation which makes the transformed polygon twice the size of the original polygon?
To dilate a polygon so that the transformed polygon is twice the size of the original, you need to use a scale factor of 2. This means that for each point of the original polygon, you will multiply its coordinates by 2, relative to a chosen center of dilation. The result will be a polygon that retains the same shape but has dimensions that are twice as large.
If you fold a polygon half twice to make a rectangle what would the polygon look like?
the polygon would be a square
What is a polygon that has twice as many sides as another polygon you have fewer than 8 sides what are you?
hexagon
What polygon has twice as many sides as another polygon but have fewer than 8 sides?
A hexagon and a triangle.
How many sides are there in the polygon if the number of diagonals is twice as the number of sides?
A 7 sided polygon has 14 diagonals
