Stage 16 · Quadrilaterals & Polygons

16.6.3 Proving Geometric Statements by Contradiction

16.6 Proof by Contradiction and Reasoning in Geometry

Point 3 of 4

16.6.3 Proving Geometric Statements by Contradiction

Core idea

For hard-to-prove-directly claims like "through a point off a line there's only one parallel," assume there are two and you crash into a contradiction

Module goal. Build on all the earlier proofs to distill a new tool of argument, proof by contradiction, and close out this stage with it, laying groundwork for the trickier reasoning in similarity
eastmath.com · 16.6 Proof by Contradiction and Reasoning in Geometry · 16.6.3 Proving Geometric Statements by Contradiction