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Questions and Answers
What does 'poly' mean in polygon?
What is a polygon?
A closed plane figure formed by three or more line segments with no curved edges.
What is a non-polygon?
A shape that has openings or gaps, curved lines, or intersecting lines.
What is a regular polygon?
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What does 'tri' mean in triangle?
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What is a triangle?
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What is a quadrilateral?
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What is a pentagon?
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What is a hexagon?
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What is a heptagon?
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What is an octagon?
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What is a nonagon?
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What is a decagon?
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What are acute angles?
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What are right angles?
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What are obtuse angles?
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What is the triangle's angle sum theorem?
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What is an equilateral triangle?
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What is an isosceles triangle?
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What is a scalene triangle?
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Study Notes
Polygon Concepts
- A polygon is defined as a closed plane figure formed by three or more line segments, with no curves present.
- Non-polygons include any shapes that feature openings, gaps, curved lines, or intersecting lines.
Types of Polygons
- Regular polygons have all sides and angles equal, maintaining symmetry.
- Triangles (3 sides, 3 angles) are the simplest form of polygons, categorized into various types:
- Equilateral triangle: all three sides and angles are congruent.
- Isosceles triangle: two sides are equal, with the angles opposite these sides also equal.
- Scalene triangle: no congruent sides or angles.
- Quadrilateral is a polygon with four sides and angles.
- Pentagon consists of five sides and angles.
- Hexagon comprises six sides and angles.
- Heptagon refers to a seven-sided polygon.
- Octagon has eight sides and angles, commonly seen in stop signs.
- Nonagon indicates a polygon with nine sides and angles.
- Decagon is a polygon that includes ten sides and angles.
Angle Types
- Acute angles are defined as angles measuring less than 90 degrees.
- Right angles measure exactly 90 degrees, typically forming a corner.
- Obtuse angles are angles greater than 90 degrees but less than 180 degrees.
Triangle Properties
- The angle sum theorem for triangles establishes that the sum of all interior angles in any triangle equals 180 degrees.
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Description
Prepare for your Geometry Chapter 11 Mid Chapter Test with these flashcards. This review covers important terms like polygons, non-polygons, and types of triangles. Use these definitions to solidify your understanding of key concepts in geometry.