Chapter 1 Geometry Review Flashcards

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Questions and Answers

What is a point?

A piece of a line with two endpoints
A location that has neither shape nor size (correct)
A location that has shape and size
A flat surface made up of points

What is a line?

Made up of points and has no thickness or width

What is a plane?

A flat surface made up of points that extends infinitely in all directions.

What are collinear points?

Points that lie on the same line (B) Signup and view all the answers

What are non-collinear points?

Points that do not lie on the same line (C) Signup and view all the answers

What are coplanar points?

Points that lie in the same plane (C) Signup and view all the answers

What are non-coplanar points?

Points that do not lie in the same plane (D) Signup and view all the answers

What is a line segment?

Piece of a line that has two endpoints. Signup and view all the answers

What are congruent segments?

Segments that have the same measure. Signup and view all the answers

What is an angle?

Formed by two noncollinear rays that have a common endpoint. Signup and view all the answers

What are congruent angles?

Angles that have the same measure (A) Signup and view all the answers

What is an angle bisector?

A ray that divides an angle into two congruent angles. Signup and view all the answers

What is a right angle?

90 degree angle. Signup and view all the answers

What is an acute angle?

Angle with an angle measure less than 90 degrees. Signup and view all the answers

What is an obtuse angle?

Angle with an angle measure greater than 90 degrees. Signup and view all the answers

What are adjacent angles?

Two angles that lie in the same plane and have a common vertex and a common side. Signup and view all the answers

What is a linear pair?

A pair of adjacent angles with noncommon sides that are opposite rays. Signup and view all the answers

What are vertical angles?

Two nonadjacent angles formed by two intersecting lines. Signup and view all the answers

What are complementary angles?

Two angles with measures that have a sum of 90 degrees. Signup and view all the answers

What are supplementary angles?

Two angles with measures that have a sum of 180 degrees. Signup and view all the answers

What are perpendicular lines?

Lines that intersect to form four right angles. Signup and view all the answers

What is a polygon?

A closed figure formed by a finite number of coplanar segments called sides. Signup and view all the answers

What is a regular polygon?

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

What is perimeter?

The distance around a polygon. Signup and view all the answers

What is a triangle?

Polygon with 3 sides. Signup and view all the answers

What is a quadrilateral?

Polygon with 4 sides. Signup and view all the answers

What is a pentagon?

Polygon with 5 sides. Signup and view all the answers

What is a hexagon?

Polygon with 6 sides. Signup and view all the answers

What is a heptagon?

Polygon with 7 sides. Signup and view all the answers

What is an octagon?

Polygon with 8 sides. Signup and view all the answers

What is a nonagon?

Polygon with 9 sides. Signup and view all the answers

What is a decagon?

Polygon with 10 sides. Signup and view all the answers

What is a hendecagon?

Polygon with 11 sides. Signup and view all the answers

What is a dodecagon?

Polygon with 12 sides. Signup and view all the answers

What is an n-gon?

Polygon with n sides. Signup and view all the answers

Study Notes

Basic Geometry Concepts

A Point represents a specific location without any dimensions.
A Line consists of infinitely many points, extending without width or thickness.
A Plane is an infinitely extending flat surface composed of points.

Relationships Among Points

Collinear Points can exist on a single line.
Non-collinear Points do not share the same line.
Coplanar Points are contained within the same plane.
Non-coplanar Points lie in different planes.

Line Segments and Measurements

A Line Segment has two distinct endpoints.
Congruent Segments are segments that have equal lengths.

Formulas

The Distance Formula can be used to calculate the length between two points.
The Midpoint Formula finds the middle point between two endpoints.

Angles and Their Properties

An Angle forms when two rays meet at a common endpoint.
Congruent Angles share the same measurement.
An Angle Bisector divides an angle into two equal parts.
Right Angles measure exactly 90 degrees.
Acute Angles measure less than 90 degrees.
Obtuse Angles measure more than 90 degrees.

Angle Relationships

Adjacent Angles share a vertex and a side, residing in the same plane.
A Linear Pair consists of two adjacent angles whose non-common sides create a straight line.
Vertical Angles are formed by intersecting lines and are not adjacent.
Complementary Angles have a sum of 90 degrees.
Supplementary Angles total 180 degrees.

Lines and Polygons

Perpendicular Lines intersect to create four right angles.
A Polygon is a closed figure made with a finite number of straight line segments, called sides.
A Regular Polygon has all sides and angles equal.

Area and Perimeter

Perimeter refers to the total distance around a polygon.
Area formulas for shapes include:
- Triangle Area calculation involves both the base and height.
- Rectangle Area is found through length times width.
- Circle Area calculation uses π times the square of the radius.
- Circumference of a Circle relates to two times π times the radius.

Types of Polygons

Triangle: 3 sides
Quadrilateral: 4 sides
Pentagon: 5 sides
Hexagon: 6 sides
Heptagon: 7 sides
Octagon: 8 sides
Nonagon: 9 sides
Decagon: 10 sides
Hendecagon: 11 sides
Dodecagon: 12 sides
An n-gon describes a polygon with 'n' sides.

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Description

Test your knowledge of basic geometry concepts with these flashcards from Chapter 1. This quiz covers essential definitions including points, lines, planes, and more, helping you solidify your understanding of foundational geometry. Perfect for students preparing for geometry assessments.