Conjecture (Geometry, Proof) – Mathplanet

Geometry / Proof / Conjecture Do excercises Show all 2 exercises

• Conjecture I
• Conjecture II

If we look at data over the precipitation in a city for 29 out of 30 days and see that it has been raining every single day it would be a good guess that it will be raining the 30th day as well. A conjecture is an educated guess that is based on known information.

Example

If we are given information about the quantity and formation of section 1, 2 and 3 of stars our conjecture would be as follows.

This method to use a number of examples to arrive at a plausible generalization or prediction could also be called inductive reasoning.

If our conjecture would turn out to be false it is called a counterexample.

Video lesson

Make a conjecture for the following figure

Do excercises Show all 2 exercises

• Conjecture I
• Conjecture II

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