Geometry Chapter 11 Mid Test Review

Questions and Answers

What does 'poly' mean in polygon?

One

Many (correct)

Three

Two

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?

A closed plane figure with equal sides and equal angles. Signup and view all the answers

What does 'tri' mean in triangle?

Three Signup and view all the answers

What is a triangle?

A closed three-sided figure with three angles. Signup and view all the answers

What is a quadrilateral?

A closed four-sided figure with four angles. Signup and view all the answers

What is a pentagon?

A polygon with five sides and five angles. Signup and view all the answers

What is a hexagon?

A closed polygon with six sides and six angles. Signup and view all the answers

What is a heptagon?

A closed polygon with seven sides and seven angles. Signup and view all the answers

What is an octagon?

A closed polygon with eight sides and eight angles. Signup and view all the answers

What is a nonagon?

A closed polygon with nine sides and nine angles. Signup and view all the answers

What is a decagon?

A closed polygon with ten sides and ten angles. Signup and view all the answers

What are acute angles?

Angles that are less than 90 degrees. Signup and view all the answers

What are right angles?

Angles that measure 90 degrees. Signup and view all the answers

What are obtuse angles?

Angles that measure greater than 90 degrees and less than 180 degrees. Signup and view all the answers

What is the triangle's angle sum theorem?

All angles in any triangle add up to 180 degrees. Signup and view all the answers

What is an equilateral triangle?

A triangle with three congruent sides and three congruent angles. Signup and view all the answers

What is an isosceles triangle?

A triangle that has only two equal sides and the angles on the equal sides are the same. Signup and view all the answers

What is a scalene triangle?

A triangle with no congruent sides or angles. Signup and view all the answers

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.