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Polygon Characteristics Quiz

#1

Which term describes a polygon with five sides?

Pentagon
Explanation

Pentagon has five sides.

#2

What is the name of a polygon with eight sides?

Octagon
Explanation

A polygon with eight sides is called an Octagon.

#3

What is the name of a polygon with twelve sides?

Dodecagon
Explanation

A polygon with twelve sides is called a Dodecagon.

#4

What is the name of a polygon with twenty sides?

Icosagon
Explanation

A polygon with twenty sides is called an Icosagon.

#5

What is the name of a polygon with thirty sides?

Triacontagon
Explanation

A polygon with thirty sides is called a Triacontagon.

#6

What is the sum of interior angles in a triangle?

180 degrees
Explanation

The sum of interior angles in a triangle is always 180 degrees.

#7

In a regular polygon, what is the relationship between the interior angle and the number of sides?

Inversely proportional
Explanation

In a regular polygon, the interior angle and the number of sides are inversely proportional.

#8

In a convex polygon, all interior angles are less than how many degrees?

180 degrees
Explanation

In a convex polygon, all interior angles are less than 180 degrees.

#9

What is the sum of exterior angles in any polygon?

360 degrees
Explanation

The sum of exterior angles in any polygon is 360 degrees.

#10

In a right-angled triangle, what is the relationship between the square of the hypotenuse and the sum of the squares of the other two sides?

Equal
Explanation

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

#11

What is the measure of each interior angle in a regular heptagon?

135 degrees
Explanation

Each interior angle in a regular heptagon measures 135 degrees.

#12

In a cyclic quadrilateral, opposite angles are supplementary. True or False?

True
Explanation

In a cyclic quadrilateral, opposite angles are supplementary.

#13

What is the measure of each exterior angle in a regular hexagon?

60 degrees
Explanation

Each exterior angle in a regular hexagon measures 60 degrees.

#14

How many diagonals does a hexagon have?

12
Explanation

A hexagon has 12 diagonals.

#15

What is the term for a polygon with all sides and angles equal?

Regular polygon
Explanation

A polygon with all sides and angles equal is called a Regular polygon.

#16

In a parallelogram, opposite angles are always equal. True or False?

True
Explanation

In a parallelogram, opposite angles are always equal.

#17

How many sides does a polygon have if the sum of its interior angles is 1080 degrees?

7
Explanation

A polygon has 7 sides if the sum of its interior angles is 1080 degrees.

#18

What is the formula to find the sum of interior angles in a polygon with 'n' sides?

(n-2) * 180 degrees
Explanation

The formula to find the sum of interior angles in a polygon with 'n' sides is (n-2) * 180 degrees.

#19

What is the formula to find the measure of each interior angle in a regular polygon with 'n' sides?

360/n degrees
Explanation

The formula to find the measure of each interior angle in a regular polygon with 'n' sides is 360/n degrees.

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