Please answer! My mom wont let me go to the movies because..?

Yesterday morning my moms friends that are girls came over and my mom was in the shower and my sister was asleep. I was awakened by the doorbell so i answered the door but in my boxers. My mom got mad and came to my room and said why'd you answer the door in your boxers? I said its my house i can wear whatever i want. She said no you cant. I said yes i can and i just pulled down my boxers. My mom said youre not going to the movies with your friends anymore. So now im trying to convince my mom to let me go. But she wont. She said go ahead and walk around the house naked all day all you want. She said show me that you mean what you say and then maybe i'll let you go. So my mom wants me to walk naked around the house. Should i do it? Its just me and my sister and my non. What should i do or say to my mom so she'll let me go to the movies? Should i do what she said?