Earlier this month (15Feb14), the Juno star revealed she is a lesbian during an emotional speech at the Human Rights Campaign's Time To Thrive conference in Las Vegas, Nevada.
Since her speech, many celebrities have supported Page's decision to come out as gay in a public forum, including Moore, who will be playing Page's on-screen love interest in a new movie titled Freeheld.
Moore praises Page's fearlessness in an interview with E! News, saying, "It (the speech) was really wonderful. I was very happy for her.... I'm excited about it (out movie). It's great."
Just days before Page's speech, Moore was confirmed to play her lover in the biopic about a terminally-ill police woman's fight for gay rights.
Freeheld won't be Moore's first role as a lesbian - she starred as Annette Bening's partner in The Kids Are All Right, which garnered four Academy Award nods and won two Golden Globes.