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Questions and Answers
What is a characteristic of regular polygons?
What is a characteristic of regular polygons?
- All interior angles are equal (correct)
- Only the exterior angles are equal
- They can have any number of sides
- All sides are of different lengths
What distinguishes an irregular polygon from a regular polygon?
What distinguishes an irregular polygon from a regular polygon?
- It must have at least 10 sides
- It cannot be drawn with a ruler
- It has varying side lengths and angles (correct)
- It can be drawn using only a compass
How would you measure angles in a polygon accurately?
How would you measure angles in a polygon accurately?
- Using a calculator
- By estimating with your eye
- Using a ruler alone
- Using a protractor (correct)
Which of the following polygons has 6 sides?
Which of the following polygons has 6 sides?
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In a regular decagon, how many degrees are each of the interior angles?
In a regular decagon, how many degrees are each of the interior angles?
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Study Notes
Regular Polygons
- All sides are equal in length
- All interior angles are equal in measure
Irregular Polygons
- Sides are not all equal in length
- Interior angles are not all equal in measure
Measuring Angles in Polygons
- The sum of the interior angles of a polygon with n sides is (n - 2) * 180 degrees
- To find the measure of each interior angle of a regular polygon, divide the sum of the interior angles by the number of sides
Hexagon
- A hexagon is a polygon with 6 sides
Decagon
- A decagon has 10 sides
- The sum of the interior angles of a decagon is (10 - 2) * 180 = 1440 degrees
- Each interior angle of a regular decagon measures 1440 / 10 = 144 degrees
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