Geometry Basics

Point = A location in space, represented by a set of coordinates (x, y, z) Line = A set of points extending infinitely in two directions Plane = A flat surface that extends infinitely in all directions Line Segment = A part of a line with a fixed length, with two endpoints

Polygon = A closed shape with at least three sides Circle = A set of points equidistant from a central point (called the center) Triangle = A polygon with three sides Quadrilateral = A polygon with four sides

Prism = A shape with two identical faces and rectangular sides Pyramid = A shape with a base and triangular sides that meet at the apex Sphere = A set of points equidistant from a central point (called the center) Cube = A prism with six square faces

<p>Direct Proof = Prove a statement by showing it is true for all cases Indirect Proof = Prove a statement by showing that the opposite is false Proof by Contradiction = Assume the opposite of a statement is true and show that it leads to a logical contradiction Definition of a Proof = A logical and systematic way to show that a statement is true</p> Signup and view all the answers

<p>Acute Angle = Less than 90 degrees Right Angle = Exactly 90 degrees Obtuse Angle = Greater than 90 degrees Straight Angle = Exactly 180 degrees</p> Signup and view all the answers

<p>Visualization = The ability to create mental images of objects and shapes Orientation = The ability to understand the position and direction of objects in space Perspective = The ability to understand how objects appear from different angles and distances Spatial Awareness = The ability to understand and visualize objects in space</p> Signup and view all the answers

<p>Line = A set of points extending infinitely in two directions Line Segment = A part of a line with a fixed length, with two endpoints Ray = A line that extends infinitely in one direction Plane = A flat surface that extends infinitely in all directions</p> Signup and view all the answers

<p>Triangle = A polygon with three sides Quadrilateral = A polygon with four sides Circle = A set of points equidistant from a central point (called the center) Sphere = A set of points equidistant from a central point (called the center)</p> Signup and view all the answers

<p>Degrees = A unit of measurement for angles Radian = A unit of measurement for angles, equal to 57.3 degrees Meter = A unit of measurement for length Protractor = A tool used to measure angles</p> Signup and view all the answers

<p>Visualization = The ability to create mental images of objects and shapes Orientation = The ability to understand the position and direction of objects in space Perspective = The ability to understand how objects appear from different angles and distances Mental Rotation = The ability to rotate objects in one's mind to understand their shape and structure</p> Signup and view all the answers