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Convex polygons

Quiz by Daphne Dean

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10 questions
Show answers
  • Q1
    Which of the following is always true for a convex polygon?
    It has at least one interior angle that is greater than 180 degrees
    It has at least one exterior angle that is 360 degrees
    All its sides are of equal length
    All interior angles are less than 180 degrees
    30s
  • Q2
    How can you tell if a polygon is convex?
    All its interior angles are less than 180 degrees
    It has at least one interior angle that is 90 degrees
    All its interior angles are greater than 180 degrees
    It has an odd number of sides
    30s
  • Q3
    A polygon can be classified as convex if:
    It has more than four sides
    A straight line segment connecting any two points on the interior of the polygon lies entirely inside the polygon
    A straight line segment connecting any two points on the interior of the polygon lies entirely outside the polygon
    One of its interior angles is obtuse
    30s
  • Q4
    In a convex polygon with n sides, what is the total number of triangles that can be formed by connecting any 3 non-collinear vertices?
    n^2
    3n
    2n
    n(n-1)(n-2)/6
    30s
  • Q5
    Which statement is true for all convex polygons?
    The polygon has at least one right angle
    Each exterior angle is greater than 180 degrees
    The sum of the interior angles is equal to (n-2) × 180 degrees, where n is the number of sides
    The sum of the interior angles is equal to n × 180 degrees, where n is the number of sides
    30s
  • Q6
    What is an essential property of a convex polygon?
    The polygon has at least one side longer than the perimeter
    All diagonals lie outside the polygon
    It has at least one exterior angle that is greater than 180 degrees
    All diagonals lie inside the polygon
    30s
  • Q7
    In a convex hexagon (six-sided polygon), what is the sum of its interior angles?
    180 degrees
    720 degrees
    360 degrees
    540 degrees
    30s
  • Q8
    Which of the following is a property of convex polygons?
    All sides have equal length
    It has right angles
    At least one interior angle is greater than 180 degrees
    All interior angles are less than 180 degrees
    30s
  • Q9
    What is the maximum number of interior right angles a convex polygon can have?
    4
    6
    5
    3
    30s
  • Q10
    If a convex polygon has 8 sides, what is the measure of each exterior angle?
    90 degrees
    30 degrees
    60 degrees
    45 degrees
    30s

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