This is a series of free, online Video Lessons and solutions.to help Geometry students.In these lessons, we will learn. point, line and plane. counterexample. what is a good geometry definition. postulate, axiom and conjectureThree Undefined Terms: Point, Line, and PlaneIn Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size.
A line is defined as something that extends infinitely in either direction but has no width and is one dimensional while a plane extends infinitely in two dimensions.Explains and demonstrates the fundamental concepts (undefined terms) of geometry: point, line, plane. How to use a counterexample to prove a definition or conjecture incorrect.A counterexample is a way to prove a statement as being false.This video gives 4 example problems explaining counterexamples to conditional statements.The first 2 examples are the basics behind counterexamples.The last 2 examples are problems you'd probably see on a quiz or test.Examples:1. Find the counterexample to the following conditional statement.' If you are a high school student, then you walk to school'2. Find the counterexample to the following conditional statement.'
If you have a dog, then its name is Spot'3. What is a counterexample to the following statement?' All angles are equal to or more than 90 degrees?'
A) Obtuse anglesb) Acute anglesc) Straight anglesd) Right angles4. What is a counterexample to the following statement?' All quadrilaterals have parallel sides?' A) Rhombusb) Squarec) Kited) Trapezoid.