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Polygons are closed, two-dimensional shapes composed of straight line segments that connect at vertices. They can have any number of sides, with the simplest being a triangle (three sides) and the most complex being a shape with many sides, like a decagon (ten sides) or more. Polygons can be classified as regular, with all sides and angles equal, or irregular, with varying lengths and angles. Additionally, the sum of the interior angles of a polygon can be calculated using the formula (n-2) × 180°, where n is the number of sides.
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If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
Is it true that all polygons is a four sided figure?
No only quadrilateral polygons have 4 sides
Is it true that solids having flat surfaces that form into polygons are polyhedron?
true
The faces of a polyhedron are the polygons that form the polyhedrons surface true or false?
True.
Regular polygons are both equiangular and equilateral?
True.
If a statement is true is it converse also true?
Not necessarily. If the statement is "All rectangles are polygons", the converse is "All polygons are rectangles." This converse is not true.
Is it true that all regulars polygons are symmetrical?
Yes, it is true.
Is it true that all polygons is a four sided figure?
No only quadrilateral polygons have 4 sides
True or False all triangle are polygons?
True
Is it true that the faces of a polyhedrons are polygons?
yes
What is an example of a false statement that has a true converse?
All four-sided polygons are squares. (False) Squares are all four-sided polygons. (True)
Polygons which can be constructed entirely from the repetition of a single length of line segment are called regular polygons?
This is true.
The faces of a polyhedron are the polygons that form the polyhedrons surface true or false?
True.
Is it true that solids having flat surfaces that form into polygons are polyhedron?
true
All polygons can be constructed entirely from the repetition of a single length of line segment?
This is false. The statement would be true for regular polygons, but not all polygons are regular.
Noncongruent polygons can have unequal side lengths?
true
Regular polygons are both equiangular and equilateral?
True.
