Q. What is the minimum number of sides a polygon can have to be classified as a polygon? (2023)
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Solution
A polygon must have at least 3 sides to be classified as such.
Correct Answer:
B
— 3
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Q. What is the minimum number of sides a polygon can have to be considered a polygon? (2023)
Show solution
Solution
A polygon must have at least 3 sides; therefore, the minimum number of sides is 3.
Correct Answer:
B
— 3
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Q. What is the minimum number of sides a polygon can have?
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Solution
The minimum number of sides a polygon can have is 3, which is a triangle.
Correct Answer:
B
— 3
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Q. What is the term for a polygon that has all sides and angles equal?
A.
Regular polygon
B.
Irregular polygon
C.
Convex polygon
D.
Concave polygon
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Solution
A polygon that has all sides and angles equal is called a regular polygon.
Correct Answer:
A
— Regular polygon
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Q. What is the term for a polygon that has at least one angle greater than 180 degrees?
A.
Convex polygon
B.
Concave polygon
C.
Regular polygon
D.
Simple polygon
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Solution
A concave polygon is defined as a polygon that has at least one interior angle greater than 180 degrees.
Correct Answer:
B
— Concave polygon
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Q. What is the term for a polygon with all sides and angles equal?
A.
Irregular polygon
B.
Regular polygon
C.
Convex polygon
D.
Concave polygon
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Solution
A polygon with all sides and angles equal is known as a regular polygon.
Correct Answer:
B
— Regular polygon
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Q. Which of the following best describes a polygon with all sides and angles equal? (2023)
A.
Regular polygon
B.
Irregular polygon
C.
Convex polygon
D.
Concave polygon
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Solution
A polygon with all sides and angles equal is defined as a regular polygon.
Correct Answer:
A
— Regular polygon
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Q. Which of the following best describes a regular polygon?
A.
A polygon with all sides of different lengths.
B.
A polygon with all angles equal and all sides equal.
C.
A polygon that can be inscribed in a circle.
D.
A polygon with at least one angle greater than 180 degrees.
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Solution
A regular polygon is defined as a polygon where all sides and angles are equal, making option 2 the correct description.
Correct Answer:
B
— A polygon with all angles equal and all sides equal.
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Q. Which of the following is a property of a parallelogram? (2023)
A.
All sides are equal.
B.
Opposite sides are equal and parallel.
C.
All angles are right angles.
D.
It has exactly one pair of parallel sides.
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Solution
In a parallelogram, opposite sides are equal and parallel, which is a defining property.
Correct Answer:
B
— Opposite sides are equal and parallel.
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Q. Which of the following is a property of all polygons?
A.
They all have equal angles.
B.
They are all closed figures.
C.
They all have equal sides.
D.
They all can be inscribed in a circle.
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Solution
All polygons are defined as closed figures formed by a finite number of line segments.
Correct Answer:
B
— They are all closed figures.
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Q. Which of the following is a property of all regular polygons? (2023)
A.
All sides are of different lengths.
B.
All interior angles are equal.
C.
They can have any number of sides.
D.
They are always convex.
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Solution
In a regular polygon, all sides and all interior angles are equal.
Correct Answer:
B
— All interior angles are equal.
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Q. Which of the following is NOT a characteristic of a regular polygon?
A.
All sides are of equal length.
B.
All interior angles are equal.
C.
It can have an odd number of sides.
D.
It can be concave.
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Solution
A regular polygon is defined as a polygon with all sides and angles equal, and it cannot be concave; it must be convex.
Correct Answer:
D
— It can be concave.
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Q. Which of the following is NOT a property of a convex polygon?
A.
All interior angles are less than 180 degrees.
B.
It can be drawn without crossing any of its sides.
C.
It can have sides that are curved.
D.
Any line segment drawn between two points inside the polygon lies entirely within the polygon.
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Solution
A convex polygon cannot have curved sides; all sides must be straight.
Correct Answer:
C
— It can have sides that are curved.
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Q. Which of the following is NOT a property of a parallelogram?
A.
Opposite sides are equal.
B.
Opposite angles are equal.
C.
The diagonals bisect each other.
D.
All angles are right angles.
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Solution
While a parallelogram has opposite sides and angles that are equal, it does not necessarily have all angles as right angles unless it is a rectangle.
Correct Answer:
D
— All angles are right angles.
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Q. Which of the following is NOT a property of a regular polygon? (2023)
A.
All sides are equal
B.
All angles are equal
C.
Diagonals are equal
D.
All vertices are concave
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Solution
In a regular polygon, all sides and angles are equal, and the vertices are convex, not concave.
Correct Answer:
D
— All vertices are concave
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Q. Which of the following is NOT a property of polygons?
A.
Polygons are two-dimensional shapes.
B.
Polygons can have curved sides.
C.
Polygons are made up of straight line segments.
D.
Polygons can be classified as regular or irregular.
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Solution
Polygons are defined as shapes made up of straight line segments, so having curved sides disqualifies a shape from being a polygon.
Correct Answer:
B
— Polygons can have curved sides.
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Q. Which of the following polygons cannot be classified as a convex polygon?
A.
A square
B.
A rectangle
C.
A concave hexagon
D.
An equilateral triangle
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Solution
A concave hexagon has at least one interior angle greater than 180 degrees, which makes it a non-convex polygon.
Correct Answer:
C
— A concave hexagon
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Q. Which of the following polygons has the greatest number of diagonals? (2023)
A.
Triangle
B.
Quadrilateral
C.
Pentagon
D.
Hexagon
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Solution
The number of diagonals in a polygon is given by n(n-3)/2. For a hexagon (n=6), it has 9 diagonals, which is more than the others.
Correct Answer:
D
— Hexagon
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Q. Which of the following polygons is classified as a concave polygon?
A.
Square
B.
Regular pentagon
C.
Star-shaped polygon
D.
Equilateral triangle
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Solution
A star-shaped polygon has at least one interior angle greater than 180 degrees, making it concave.
Correct Answer:
C
— Star-shaped polygon
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Q. Which of the following polygons is classified as a non-convex polygon?
A.
Square
B.
Rectangle
C.
Star-shaped polygon
D.
Hexagon
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Solution
A star-shaped polygon is an example of a non-convex polygon because it has points that point inward.
Correct Answer:
C
— Star-shaped polygon
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Q. Which of the following polygons is not a convex polygon?
A.
A square
B.
A rectangle
C.
A concave hexagon
D.
An equilateral triangle
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Solution
A concave hexagon has at least one interior angle greater than 180 degrees, making it a non-convex polygon.
Correct Answer:
C
— A concave hexagon
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Q. Which of the following shapes is a polygon? (2023)
A.
Circle
B.
Triangle
C.
Ellipse
D.
Curve
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Solution
A triangle is a polygon as it is a closed figure with straight sides.
Correct Answer:
B
— Triangle
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Q. Which of the following statements about the area of polygons is true?
A.
The area of a polygon can be calculated using the formula A = 1/2 * base * height.
B.
The area of a polygon is always greater than the area of its circumscribed circle.
C.
The area of a regular polygon can be calculated using the formula A = (1/4) * n * s^2 * cot(π/n).
D.
The area of a polygon is independent of its shape.
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Solution
The area of a regular polygon can indeed be calculated using the formula A = (1/4) * n * s^2 * cot(π/n), where n is the number of sides and s is the side length.
Correct Answer:
C
— The area of a regular polygon can be calculated using the formula A = (1/4) * n * s^2 * cot(π/n).
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Q. Which of the following statements about the diagonals of a polygon is correct?
A.
A triangle has no diagonals.
B.
A quadrilateral has two diagonals.
C.
A pentagon has five diagonals.
D.
A hexagon has nine diagonals.
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Solution
A triangle has no diagonals, as it has only three vertices. The formula for the number of diagonals in a polygon is n(n-3)/2, where n is the number of sides.
Correct Answer:
A
— A triangle has no diagonals.
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Q. Which of the following statements about the diagonals of a polygon is true?
A.
A polygon with n sides has n diagonals.
B.
The number of diagonals in a polygon is given by n(n-3)/2.
C.
All diagonals of a polygon are equal in length.
D.
Diagonals can only be drawn in convex polygons.
Show solution
Solution
The number of diagonals in a polygon is calculated using the formula n(n-3)/2, where n is the number of sides.
Correct Answer:
B
— The number of diagonals in a polygon is given by n(n-3)/2.
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Q. Which of the following statements is false regarding polygons?
A.
A polygon can be both concave and convex.
B.
All quadrilaterals are polygons.
C.
A polygon can have curved sides.
D.
The number of diagonals in a polygon increases with the number of sides.
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Solution
Polygons are defined as shapes with straight sides, so a polygon cannot have curved sides.
Correct Answer:
C
— A polygon can have curved sides.
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Q. Which of the following statements is true regarding a regular hexagon? (2023)
A.
It has 5 sides.
B.
All its angles are equal.
C.
It cannot be inscribed in a circle.
D.
It has unequal side lengths.
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Solution
A regular hexagon has all sides and angles equal, making the statement true.
Correct Answer:
B
— All its angles are equal.
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Q. Which of the following statements is true regarding a regular polygon? (2023)
A.
All sides are equal
B.
All angles are equal
C.
Both A and B
D.
None of the above
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Solution
A regular polygon has both equal sides and equal angles, making both statements true.
Correct Answer:
C
— Both A and B
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Q. Which of the following statements is true regarding the classification of polygons?
A.
All quadrilaterals are polygons.
B.
All polygons are quadrilaterals.
C.
Only triangles and quadrilaterals are polygons.
D.
Polygons cannot have more than four sides.
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Solution
All quadrilaterals are indeed polygons, as they are defined as shapes with four sides, which fits the definition of a polygon.
Correct Answer:
A
— All quadrilaterals are polygons.
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Q. Which of the following terms best describes a polygon with all sides and angles equal?
A.
Irregular polygon
B.
Convex polygon
C.
Regular polygon
D.
Concave polygon
Show solution
Solution
A polygon with all sides and angles equal is known as a regular polygon.
Correct Answer:
C
— Regular polygon
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