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You list the steps of the proof in the left column, then you write the matching reasoning for each step in the right column.

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12y ago

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Fill in the blank A second type of proof in geometry is a proof by or indirect proof?

An indirect proof is a proof by contradiction.


Prove that the sum of angles of a triangle is equal to 180 degress?

The proof is pretty simple, but hard to see without the pictures. SO here is a link to the proof with some pics. http://www.apronus.com/geometry/triangle.htm The answer depends on your geometry: In Euclidean geometry, the angle sum is 180 degrees, in Hyperbolic geometry it is less than 180 degrees, and in Elliptical geometry it is greater than 180 degrees.


What is proven with a geometric proof?

Theorems is what is proven with the geometric proof.


What is the assumption of geometry?

One of the fundamental assumptions made in Euclidean Geometry is that space is flat. This is not true. Albert Einstein was able to show, both in mathematical proof and in actual demonstration, that space was curved.Euclidean geometry, as Euclid intended it, also assumes 2 or 3 dimensions of space. Euclidean geometry has been extended since then to arbitrary dimensions, though many physicists now believe that space has a full 11 dimensions.


What is Proof in geometry is a proof by or indirect proof?

A proof in geometry is basically proving a specific thing, like this segement is congruent to this, or proving something is a parallelogram....there are all sorts of very different kinds of proofs. Proofs have to be logical to everyone, and following a reasonable thinking path, using definitions, postulates, and theorems as reasons along the way. Most commonly written in paragraph form(in the real world) and 2-column proofs in middle/high school, apparently to organize your thinking when you first start doing them. An indirect proof is a way to do some proofs, like if it asks you to prove AX is not congruent to XY, then you would assume it is, and see how it goes from there, till you find a contradiction, and so the original assumption you made is false.