Proofs: Given: =PQ = RS =QS = ST Prove: PS=RT

Question

So I know the first lines are PQ= RS and QS = St and I think I don't segment addition which for this would be PQ + QS = PS and TS + SR = TR for the next couple lines but i'm not sure after that...

Answer 1

Ashley,

 

I'm assuming this is a line of co-linear points P,Q,R,S,T in that order. In that case you are almost there. That said, I would rephrase the last segment addition line to be RS+ST=RT. You'll see why in a minute.

The next line would be:

PQ+QS=PS

RS+QS=PS (Given)

RS+ST=PS (Given)

RT=PS.

 

Hope that helps!