Thank you Dave for your response. I went through these steps:
1) The key is the correct key. I tried all three keys - master, valet and flat key with chip transponder in the case
2) I tried this and it still just clicks when I try to start it.
3) I just had major repairs done the day prior, but everything worked fine until I tried the flat key with chip transponder.
4) The battery was recently replaced and it worked fine until I tested out the flat key to see if it would work.
5) I disconnected the negative terminal for 15 minutes, reconnected and it still just clicks when I try to start.
I believe this may be related to the flat key/chip transponder. The moment I tried it and it did not work is when all keys stopped working.
It sounds like my next step is to have it towed to my Lexus tech where I had the repairs done and get this figured out. Thanks again for your advice and guidance.