# Statement(s) > [!NOTE] Statement 1 (....) > Let $T$ be an [[Isometry|isometry]] on [[Euclidean spaces]] $\mathbb{E}^n.$ Let $\mathbf{x},\mathbf{y},\mathbf{z}$ be [[Collinearity of Points in Real n-Space|collinear]], then $T(\mathbf{x}),T(\mathbf{y}),T(\mathbf{z})$ are also collinear. # Proof(s) **Proof of statement 1:** ... $\blacksquare$ **Proof of statement 2:** ... $\blacksquare$ # Application(s) **Consequences**: **Examples**: # Bibliography