Which polygon or polygons are regular? (Classifying Polygons Practice)
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Regular polygons are polygons with all sides and angles equal. The regular polygons are the triangle, square, pentagon, hexagon, heptagon, octagon, nonagon, and decagon.
what polygons are regular and how to identify them and same for irregular?
Regular polygons are polygons that have equal lengths for all sides and equal angles for all vertices. Here are some examples of regular polygons:
- Equilateral Triangle: All sides are equal and all angles are 60 degrees.
- Square: All sides are equal and all angles are 90 degrees.
- Regular Pentagon: All sides are equal and all angles are 108 degrees.
- Regular Hexagon: All sides are equal and all angles are 120 degrees.
- Regular Octagon: All sides are equal and all angles are 135 degrees.
On the other hand, irregular polygons are polygons that do not have equal sides or angles. Here are some examples of irregular polygons:
- Scalene Triangle: No sides or angles are equal.
- Rectangle: Opposite sides are of equal length but not all sides and angles.
- Quadrilateral: A polygon with four sides and angles, the sides may have different lengths and angles may be unequal.
- Trapezoid: Only two opposite sides are parallel.
- Irregular Pentagon: Any pentagon that does not have equal sides and angles.
- Equilateral Triangle: All sides are equal and all angles are 60 degrees.
- Square: All sides are equal and all angles are 90 degrees.
- Regular Pentagon: All sides are equal and all angles are 108 degrees.
- Regular Hexagon: All sides are equal and all angles are 120 degrees.
- Regular Octagon: All sides are equal and all angles are 135 degrees.
On the other hand, irregular polygons are polygons that do not have equal sides or angles. Here are some examples of irregular polygons:
- Scalene Triangle: No sides or angles are equal.
- Rectangle: Opposite sides are of equal length but not all sides and angles.
- Quadrilateral: A polygon with four sides and angles, the sides may have different lengths and angles may be unequal.
- Trapezoid: Only two opposite sides are parallel.
- Irregular Pentagon: Any pentagon that does not have equal sides and angles.
what about a rhombus
A rhombus is a special type of quadrilateral that has a different property than other irregular quadrilaterals. A rhombus has all sides equal in length, but the angles between the sides may not be equal. Even though a rhombus doesn't have equal angles, it is still considered a regular polygon because of its side lengths. Therefore, a rhombus is a regular polygon.
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