Regular Polygons Quiz: Master Regular Polygons Quiz

  • 9th Grade
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Quizzes Created: 7682 | Total Attempts: 9,547,133
| Questions: 20 | Updated: Dec 17, 2025
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1) A regular polygon is defined as having

Explanation

A regular polygon has both equal sides and equal angles, ensuring complete symmetry.

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About This Quiz
Regular Polygons Quiz: Master Regular Polygons Quiz - Quiz

What makes regular polygons so predictable and mathematically rich? In this quiz, you’ll explore shapes with equal sides and equal angles, examining how symmetry drives their consistent patterns. You’ll calculate interior and exterior angle measures, compare polygons with varying numbers of sides, and interpret how symmetry guides their structure. With... see moreeach problem, you’ll develop a stronger understanding of why regular polygons play such an important role in geometry and mathematical design.
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2)
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2) Every equilateral polygon is regular.

Explanation

Equilateral polygons have equal sides, but if angles differ, they’re not regular; regular polygons require both sides and angles to be equal.

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3) A regular hexagon has __ equal sides.

Explanation

A regular hexagon has six sides that are all equal in length and six equal interior angles.

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4) The sum of interior angles of a regular pentagon is

Explanation

Use formula (n–2)×180 = (5–2)×180 = 540°.

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5) Each interior angle of a regular octagon measures

Explanation

Formula for each interior angle = [(n–2)×180]/n = (6×180)/8 = 135°.

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6) Select all polygons that are regular.

Explanation

Equilateral triangle, square, and regular hexagon have all sides and angles equal; rectangles and rhombuses don’t meet both conditions.

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7) The formula for the sum of interior angles of an n-sided polygon is

Explanation

Sum of interior angles = (n–2)×180, applicable for any polygon.

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8) The measure of each exterior angle of a regular nonagon is

Explanation

Exterior angle = 360/n = 360/9 = 40°, correction: actually 40° for 9 sides. Wait compute: 360/9 = 40°. Correct answer 40°.

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9) A polygon with each exterior angle 72° has how many sides?

Explanation

n = 360/Exterior angle ⇒ n = 360/72 = 5 sides.

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10) The sum of all exterior angles of any polygon is always 360°.

Explanation

Exterior angles always sum to 360°, regardless of the number of sides.

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11) A honeycomb is modeled using regular hexagons because

Explanation

Regular hexagons fit perfectly together, minimizing material and perimeter for the same area.

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12) A regular polygon with 12 sides has each central angle equal to __°.

Explanation

Central angle = 360/n = 360/12 = 30°.

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13) The diagonals of a regular polygon are calculated using formula

Explanation

Number of diagonals = n(n–3)/2.

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14) A square is a regular polygon because

Explanation

Regular polygons have all sides and angles equal; a square satisfies both conditions.

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15) Select all regular polygons that can tessellate the plane.

Explanation

Only equilateral triangles, squares, and regular hexagons tessellate without gaps or overlaps.

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16) The apothem of a regular polygon connects the center to

Explanation

The apothem connects the polygon’s center to the midpoint of a side and is perpendicular to it.

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17) A regular polygon with each central angle 24° has how many sides?

Explanation

n = 360/central angle = 360/24 = 15, correction: 15 not 18. So answer 15.

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18) A circle can be considered a regular polygon with infinitely many sides.

Explanation

As the number of sides increases infinitely, a regular polygon approaches the shape of a circle.

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19) If each side of a regular hexagon measures 10 cm, its perimeter = __ cm.

Explanation

Perimeter = number of sides × side length = 6 × 10 = 60 cm.

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20) Which formula gives the area of a regular polygon?

Explanation

Area = ½ × perimeter × apothem, derived from dividing the polygon into isosceles triangles.

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A regular polygon is defined as having
Every equilateral polygon is regular.
A regular hexagon has __ equal sides.
The sum of interior angles of a regular pentagon is
Each interior angle of a regular octagon measures
Select all polygons that are regular.
The formula for the sum of interior angles of an n-sided polygon is
The measure of each exterior angle of a regular nonagon is
A polygon with each exterior angle 72° has how many sides?
The sum of all exterior angles of any polygon is always 360°.
A honeycomb is modeled using regular hexagons because
A regular polygon with 12 sides has each central angle equal to __°.
The diagonals of a regular polygon are calculated using formula
A square is a regular polygon because
Select all regular polygons that can tessellate the plane.
The apothem of a regular polygon connects the center to
A regular polygon with each central angle 24° has how many sides?
A circle can be considered a regular polygon with infinitely many...
If each side of a regular hexagon measures 10 cm, its perimeter = __...
Which formula gives the area of a regular polygon?
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