Conjecture and Theorem
A conjecture is a hypothesis or educated guess about a general rule of mathematics. It’s a generalization based on observation of multiple specific cases.
We all make conjectures every day in life. It’s about seeing a pattern and then concluding tha pattern will continue.
The next lesson: Context, both lessons are included in Practice Tests.The following transcript is provided for your convenience.
Something you might conjecture about in geometry is if you constructed several triangles, and found the measures of the angles, you might conjecture that the sum of the measures of the angles of a triangle is 180 degrees.
And, that conjecture would be true, and actually, it’s been proven true, and that’s what a theorem is.
A theorem is a conjecture that has been proven using mathematical reasoning. So, this is actually a theorem, that the sum of the measures of the angles of a triangle is 180 degrees. And that’s true with every triangle; the three angles, when you add them together, will always be 180 degrees.Practice tests help you remember. Take this mini-test to solidify your memory.
The next lesson: Context, both lessons are included in Practice Tests.