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Why do polygons always have the same number of sides and angles?
Wiki User
∙ 12y ago
A polygon is a closed shape made up of only straight lines and angles. When you add another side, you must also add another angle to close the shape.
To demonstrate this, try to draw a shape with closed edges and only straight lines with a different number of angles. Its impossible to create
Wiki User
∙ 12y ago
Anonymous
C Ceabe
the polygon is a closed shape. If the shape is not closed you will have more sides than angles; for instance, imagine a figure like the letter "L". It has more sides (2) than angles (1). If you add another line the figure will look like an "U", still more sides (3) than angles (2).
To close the figure (to form a rectangle), you need to add a line, THAT CLOSING LINE will add one side (now the total is 4), but it will create two angles (one in the left top side of the "U" and another one on the other top side), so closing the figure adds two angles.
Now the closed figure will have 4 sides and 4 angles!
This is true for polygons with any number of sides (>3)
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How can you tell whether two polygons are similar?
Polygons will be similar if they have the same number of sides AND all of their angles are the same. All of their angles are the same if all but one of their angles are the same because with the same number of sides the angles must add up to the same thing. All squares are similar (4 right angles and sides of equal lenght). All rectangles are similar (4 right angles). We know two triangle are similar if two or mare angles are the same, or if one angle is the same and the two adjacent sides are the same length. Variations of this last proof may apply to some other polygons.
One regular polygons with an even number of sides are symmetrical?
Yes. Regular polygons with an odd number of sides are also symmetrical.
How many sides and angles do a polygon have?
Polygon is a two dimensional figure that has three or more sides. Polygons are classified by their number of sides. Three sided is a triangle. A four sided figure is a quadrilateral. A five sided figure is a pentagon and so forth. The number of angles it has is equal to the number of sides.A polygon usaally has 5sides
Is there a minimum number of acute interior angles that any polygon can have?
Although a triangle must have at least two acute interior angles, a square has four interior right angles and no acute angles. And as regular polygons have increasing numbers of sides, their interior angles get larger.
Find the sum of the exterior angles of a 32-gon?
Number of sides is irrelevant, exterior angles always total 360o
Does a polygon have more sides or angles why?
Polygons have an equal number of sides and angles.
Does a polygon has more number of sides or angles?
All polygons have an equal number of sides and angles.
Does a polygon usully have more sides or more angles explain?
Polygons have the same number of sides and angles.
Do internal angles of regular and irregular polygons always equal 360 degrees?
No, the sum of internal angles of polygons is represented by the equation 180(n-2) where n is the number of sides. The sum of the external angles, however, does always equal to 360 degrees.
Is two regular polygons always sometimes or never similar?
If they have the same nuber of sides (angles) then always. If not then never. So, overall, I suppose the answer is sometimes - depending on the number of sides.
What is the formulas to finding interior and exterior angles of regular polygons?
Interior Angles: n-2 (n is number of sides) ____ 180 Exterior angles are always 360 degrees.
What are convex polygons with congruent sides and congruent angles?
Convex polygons with congruent sides and congruent angles are called regular polygons.
Can two similar polygons be congruent polygons?
Yes. The polygons must be congruent. They must have an even number of sides and angles. -alessandra
Does a polygon usually have more side or angle?
I think it has the same because it just depends on how to split number they're looking 4
Congruent polygons may have noncongruent sides but must always have congruent angles?
False.
Congruent polygons may have noncongruent sides but must always have congruent angles.?
false
How many angles in a 12 sided polygon?
All polygons have the same number of sides as angles. So if there are 12 sides, thereare 12 angles.
