Which term best describes a proof in which you assume the opposite of what you want to prove?

Contradictory Statement

Step-by-step explanation:

In contradictory statement , we basically describes a proof by assuming opposite of what we want to prove .

For example :

Prove that is irrational .

Solution :

We will prove this by contradiction .

Let if possible is rational .

where p and q are integers and coprime such that

On squaring both sides , we get

we get ,

p=2r

On squaring both sides, we get

So, 2 divides p and q which is a contradiction to the fact that p and are coprime .

Therefore, is irrational .

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing

step-by-step explanation: