Validate several validation groups

I have 2 validation groups, VG1 and VG2. I have a button BtnInsert that saves data into Datasource. Its Validation Group is VG2. Now, I want to validate both VG1 and VG2 when a user clicks the BtnInsert.

protected void BtnInsert_click(object sender,EventArgs e)
{
    // validate VG1
    Page.Validate("VG1");
    // Page.Validate("VG2") is not required as BtnInsert is of that group
    if(Page.IsValid)
    {
       // call insert function
    } 
}

Is this code right, and by clicking BtnInsert, both groups are validated?