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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
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Beauthe 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
