Showing posts with label Auxiliary. Show all posts
Showing posts with label Auxiliary. Show all posts

Thursday, August 26, 2010

geometry proofs

Let us learn about geometry proofs

-->The goal of every geometry learner is to be able to eventually put what she or he has learned to use by writing geometric proofs. Throughout the Spark Notes under Geometry one & two we have gained the knowledge to know what is & isn't true of a given geometric figure & why. In this Blog, we'll develop the skills to show what learners know in formal, 2-column geometric proofs. Using geometric proofs systematically, deductive reasoning, lead a reader step-by-step from the premises of a proof to the conclusion--what may have been suspected but weren’t known for sure. In the following article we'll study the form of a geometric proof, as well as different techniques for proving things geometrically.
The 2 major methods to prove a conclusion are by indirect proof & by direct proof. These 2 ways will be defined, along with the technique of drawing auxiliary lines. Auxiliary Lines which are created to help prove a statement or they are lines that aren't given in the premises of a proof, but can be drawn to help demonstrate something about a figure or figures. Here we will put all of our knowledge to the examine, to test, not just by deducing things about a figure or figures, but by proving them systematically so that the whole world can learn what we've done