Regular Polygons: Definitions & Vocabulary

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1) A regular polygon is defined as having:

Explanation

A regular polygon is characterized by having both equal sides and equal angles, which distinguishes it from other polygons that may have sides of different lengths or angles of different measures.

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About This Quiz
Regular Polygons: Definitions & Vocabulary - Quiz

Are you ready to learn the language of polygons? In this quiz, you’ll explore what makes a polygon regular, meaning all its sides and angles are equal. You’ll practice identifying examples like squares, triangles, and hexagons, and learn new words like equilateral and equiangular. By the end, you’ll be able... see moreto spot regular polygons and tell them apart from irregular ones with ease! see less

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2) A regular pentagon has how many sides?

Explanation

A regular pentagon is defined as a five-sided polygon, where all sides and angles are equal. Therefore, the correct answer is 5.

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3) Which polygon can be regular?

Explanation

A polygon is considered regular if all its sides and angles are equal. Triangles, pentagons, and octagons can all be regular shapes if they meet these criteria.

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4) Which of the following is an example of a 3-sided regular polygon?

Explanation

An equilateral triangle is a regular polygon because all three of its sides and angles are equal, making it a specific type of triangle with three equal sides.

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5) The prefix "deca" in decagon means

Explanation

The prefix 'deca-' comes from Greek, meaning ten. In geometry, a decagon is a polygon with ten sides.

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6) The diagonals of a regular polygon are

Explanation

In a regular polygon, the lengths of the diagonals can vary depending on the vertices chosen, meaning that some diagonals can be equal while others may not be. This is why the correct answer is 'Sometimes equal'.

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7) Which feature distinguishes regular polygons from irregular polygons?

Explanation

Regular polygons are defined by having equal sides and angles, which is not a requirement for irregular polygons, allowing them to have varying side lengths and angles.

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8) Which of the following is a regular polygon?

Explanation

A regular polygon is a polygon with all sides and angles equal. A square fits this definition, while the other options do not.

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9) The word 'equiangular' means?

Explanation

The term 'equiangular' refers to a shape where all angles are equal in measure. This is commonly seen in geometric figures such as regular polygons.

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10) The word "equilateral" means

Explanation

An equilateral triangle has all three sides of equal length, which also means all angles are equal, each measuring 60 degrees.

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11) A square is considered a regular polygon because

Explanation

A square is classified as a regular polygon because it has all sides of equal length and all interior angles equal to 90 degrees, satisfying the definition of a regular polygon.

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12) A regular hexagon has how many equal sides?

Explanation

A regular hexagon is defined as a six-sided polygon where all sides are of equal length. Therefore, it has 6 equal sides.

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13) Which of the following is not a polygon?

Explanation

A polygon is a closed figure with straight sides. A triangle, pentagon, and octagon have straight sides, while a circle does not, making it the only option that is not a polygon.

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14) Which of the following is a convex regular polygon?

Explanation

A convex regular polygon is defined as a polygon with all sides and angles equal, and it does not have any interior angles greater than 180 degrees. All the options listed (square, equilateral triangle, and regular hexagon) meet these criteria, thus the correct answer is 'All of the above'.

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15) Which of the following is a convex regular polygon?

Explanation

A convex regular polygon is defined as having all angles less than 180° and all sides equal. Therefore, it cannot have any angle greater than 180°.

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16) A polygon with 8 equal sides and 8 equal angles is called

Explanation

A polygon with 8 equal sides and angles is known as a regular octagon, as 'octo' refers to eight.

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17) A polygon with all sides equal but angles not equal is called

Explanation

An equilateral polygon has all sides of equal length; however, if the angles are not equal, it is classified as irregular. In contrast, equiangular polygons have all angles equal, and regular polygons have both equal sides and equal angles.

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18) A polygon with all angles equal but sides not equal is called

Explanation

A polygon that has all equal angles but unequal sides is known as equiangular but irregular. This means that while the internal angles are the same, the lengths of the sides can vary.

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19) Which of the following is a regular quadrilateral?

Explanation

A regular quadrilateral is one where all sides and angles are equal. A square meets this criterion, while a rectangle, rhombus, and parallelogram do not necessarily have all equal angles or sides.

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20) Which polygon is both equilateral and equiangular with 5 sides?

Explanation

A regular pentagon is both equilateral (all sides are the same length) and equiangular (all angles are equal), making it the only polygon with 5 sides that has these properties.

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A regular polygon is defined as having:
A regular pentagon has how many sides?
Which polygon can be regular?
Which of the following is an example of a 3-sided regular polygon?
The prefix "deca" in decagon means
The diagonals of a regular polygon are
Which feature distinguishes regular polygons from irregular polygons?
Which of the following is a regular polygon?
The word 'equiangular' means?
The word "equilateral" means
A square is considered a regular polygon because
A regular hexagon has how many equal sides?
Which of the following is not a polygon?
Which of the following is a convex regular polygon?
Which of the following is a convex regular polygon?
A polygon with 8 equal sides and 8 equal angles is called
A polygon with all sides equal but angles not equal is called
A polygon with all angles equal but sides not equal is called
Which of the following is a regular quadrilateral?
Which polygon is both equilateral and equiangular with 5 sides?
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