Classifying Polygons Flashcards
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Questions and Answers

What is the number of sides in a triangle?

  • 5
  • 3 (correct)
  • 2
  • 4
  • How many sides does a quadrilateral have?

    4

    What defines a pentagon?

    5

    How many sides does a hexagon have?

    <p>6</p> Signup and view all the answers

    What is the number of sides in a heptagon?

    <p>7</p> Signup and view all the answers

    An octagon is a polygon with how many sides?

    <p>8</p> Signup and view all the answers

    Define the number of sides in a nonagon.

    <p>9</p> Signup and view all the answers

    How many sides does a decagon have?

    <p>10</p> Signup and view all the answers

    How many sides does a dodecagon have?

    <p>12</p> Signup and view all the answers

    What is the general term for a polygon with N sides?

    <p>N-gon</p> Signup and view all the answers

    All sides of an equilateral polygon are congruent.

    <p>True</p> Signup and view all the answers

    In an equiangular polygon, all angles in the interior are congruent.

    <p>True</p> Signup and view all the answers

    A regular polygon is convex and both equilateral and equiangular.

    <p>True</p> Signup and view all the answers

    Is a decagon regular?

    <p>Sometimes</p> Signup and view all the answers

    Can a concave polygon be regular?

    <p>Never</p> Signup and view all the answers

    What is a convex polygon?

    <p>A polygon where no line containing a side of the polygon contains a point in its interior.</p> Signup and view all the answers

    What is a concave polygon?

    <p>A polygon that is not convex.</p> Signup and view all the answers

    Define a polygon.

    <p>A closed plane figure with specific properties.</p> Signup and view all the answers

    Study Notes

    Classification of Polygons

    • Triangle: 3 sides.
    • Quadrilateral: 4 sides.
    • Pentagon: 5 sides.
    • Hexagon: 6 sides.
    • Heptagon: 7 sides.
    • Octagon: 8 sides.
    • Nonagon: 9 sides.
    • Decagon: 10 sides.
    • Dodecagon: 12 sides.
    • N-gon: A polygon with N sides, where N can be any integer.

    Types of Polygons

    • Equilateral Polygon: All sides are congruent (equal in length).
    • Equiangular Polygon: All interior angles are congruent (equal in measure).
    • Regular Polygon: A convex polygon that is both equilateral and equiangular.

    Polygon Regularity

    • A decagon is regular sometimes, indicating that not all decagons have equal sides and angles.
    • A concave polygon is regular never, as concave shapes have at least one inward angle.

    Polygon Characteristics

    • Convex Polygon: No line containing a side of the polygon contains a point in the interior, meaning all interior angles are less than 180 degrees.
    • Concave Polygon: A polygon that is not convex, characterized by having at least one interior angle greater than 180 degrees.

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    Description

    Test your knowledge of different polygons with these flashcards. Each card provides the name of a polygon along with its defining number of sides. Perfect for students looking to reinforce their understanding of geometry.

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