What is a paragraph proof, for geometry?
When you write a paragraph style proof, you are explaining how one given piece of information, leads you to conclude the next, which eventually gets you to what you need to prove. There are different styles of paragraph proofs, but for this example the direct proof method is appropriate. We will start from the given, and work our way forward to what you need to prove. Proof : First we will suppose that we have two angles <1, <2 that are supplementary. If two angles are supplementary then their measures add up to 180 degrees. Therefore the measures of <1, and <2 add up to 180 degrees. ( You can write this sentence algebraically m<1 + m<2 = 180 degrees ) From the problem we also know that <1 is congruent to <2. If two angles are congruent then they have equal measure. Therefore <1, <2 have equal measures. Therefore m<1 = m<2. By substitution property, we know that any quantity can be substituted for its equal. So we can rewrite the equation m<1 + m<2 = 180 as m<1 + m<1 = 180 (or m<2 + m<
