Chapter 1 Geometry Review Flashcards

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.