Back to Explain a proof of the Pythagorean Theorem and its converse — Problem 2 · Task Set 69

8.G.B.6 Tutor Intake -- Pythagorean Theorem Proof and Converse

This short check helps your tutor see where to start. Work on your own,
without a calculator. Do your best -- the goal is to find what to work
on together, not to grade you.

Grade 8·5 problems·~7 min·Common Core Math - Grade 8·container·8-g-b-6

Work through problems with immediate feedback

Concepts

What is the key difference between the Pythagorean Theorem and
its converse?

The theorem goes 'right triangle implies a^2+b^2=c^2'; the converse goes 'a^2+b^2=c^2 implies right triangle' -- opposite directions of reasoning

There is no difference -- they are the same statement

The converse only works for the 3-4-5 triangle

The theorem is used in geometry; the converse is used in algebra