Hi AlisonJudith,
welcome to Questions & Answers..
A friend of mine had a similar problem a couple of days ago & after charging the tablet started as normal..
However if charging does not help & your Tablet still does not turn on try the following..
Remove anything connected such as USB cables or headphones.
Re-connect the tablet to an AC power supply.
Press the power button.
If the tablet still doesn't start, press the reset button carefully with an opened paper clip

If after doing a reset your Tablet still fails to turn on then a repair may be necessary. Please contact support