Heptagon
A heptagon is a polygon with seven sides and seven angles. The sum of the interior angles of a heptagon is always 900 degrees. Each interior angle of a regular heptagon measures 128.57 degrees.
Properties of a Heptagon:
- Number of Sides: A heptagon has 7 sides.
- Sum of Interior Angles: The sum of the interior angles of a heptagon is 900 degrees.
- Measure of Each Interior Angle: For a regular heptagon, each interior angle measures 128.57 degrees.
- Diagonals: A heptagon has 14 diagonals.
- Regular vs. Irregular: A regular heptagon has all sides and angles of equal measure, while an irregular heptagon does not.
Formulas and Equations:
- Sum of Interior Angles: The sum of the interior angles of a heptagon can be found using the formula: Sum = (n-2) * 180, where n is the number of sides.
- Measure of Each Interior Angle: For a regular heptagon, the measure of each interior angle can be found using the formula: Measure = Sum / n, where n is the number of sides.
Example Problem:
Find the measure of each interior angle of a regular heptagon.
- Using the formula for the sum of interior angles: Sum = (7-2) * 180 = 5 * 180 = 900 degrees
- Using the formula for the measure of each interior angle: Measure = 900 / 7 = 128.57 degrees
Now that you are familiar with the properties and formulas related to heptagons, you can practice solving problems and exploring different types of heptagons to deepen your understanding of this geometric shape.
.◂Math Worksheets and Study Guides Eighth Grade. Experimental Probability
Study Guide
Experimental Probability 
Worksheet/Answer key
Experimental Probability Worksheet/Answer key
Experimental Probability Worksheet/Answer key
Experimental Probability
Worksheet/Answer keyWorksheet/Answer keyWorksheet/Answer keyThe resources above cover the following skills:
Data Analysis and Probability (NCTM)
Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them.
Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population.
Develop and evaluate inferences and predictions that are based on data.
Use conjectures to formulate new questions and plan new studies to answer them.
Understand and apply basic concepts of probability
Use proportionality and a basic understanding of probability to make and test conjectures about the results of experiments and simulations.