Plane Figures in Plane Geometry
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Questions and Answers

What is a plane figure in geometry?

  • A figure that can be drawn on a three-dimensional surface
  • A figure that can be drawn on a one-dimensional surface
  • A figure that can be drawn on a two-dimensional surface (correct)
  • A figure that can be drawn on a four-dimensional surface

    • What are the vertices of a polygon?

  • The line segments making up the polygon
  • The exterior angles of the polygon
  • The interior angles of the polygon
  • The endpoints of each side of the polygon (correct)

    • What is an equiangular polygon?

  • A polygon with all angles congruent (correct)
  • A polygon with adjacent sides equal
  • A polygon with adjacent angles congruent
  • A polygon with all sides equal

    • What is the diagonal of a polygon?

    <p>A line segment joining two non-adjacent vertices of the polygon</p> Signup and view all the answers

    What is an interior angle of a polygon?

    <p>An angle formed by two adjacent sides inside the polygon</p> Signup and view all the answers

    What is a regular polygon?

    <p>A polygon with both equiangular and equilateral properties</p> Signup and view all the answers

    What type of polygon has at least one interior angle that measures more than 180°?

    <p>Concave polygon</p> Signup and view all the answers

    In a convex polygon, how many sides will a line intersect at most when drawn through the polygon?

    <p>Two sides</p> Signup and view all the answers

    What is the property of similar polygons regarding their corresponding sides and angles?

    <p>Corresponding angles are equal, and corresponding sides are proportional</p> Signup and view all the answers

    What is the formula for finding the perimeter (P) of a regular polygon with n sides, each of length s?

    <p>$P = n \times s$</p> Signup and view all the answers

    How can the area of a regular polygon be calculated?

    <p>By dividing the polygon into triangles and finding the sum of their areas</p> Signup and view all the answers

    What is the formula for the number of diagonals (D) in a polygon with n sides?

    <p>$D = \frac{n \times (n - 3)}{2}$</p> Signup and view all the answers

    What is the apothem of a regular polygon?

    <p>A line segment from the center to the midpoint of one of its sides</p> Signup and view all the answers

    What does 'IA' stand for in 'SIA' when referring to a regular polygon?

    <p>$1260^\circ$ Angle</p> Signup and view all the answers

    What is the formula for finding the sum of interior angles in a polygon with n sides?

    <p>$SIA = (n - 2) \times 180^\circ$</p> Signup and view all the answers

    What is a central angle in relation to a regular polygon?

    <p>$360^\circ$ angle formed by lines drawn from the center to two side adjacent vertices</p> Signup and view all the answers

    What does 'A' represent in 'A=55.64 sq m' when referring to a regular nonagon?

    <p>Area of the nonagon</p> Signup and view all the answers

    What does 'd' represent in 'd = 27' when referring to a regular nonagon?

    <p>Diagonal count</p> Signup and view all the answers

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