Final answer:
To translate triangle P by the vector [2−5], add 2 to the x-coordinates and subtract 5 from the y-coordinates of each point in the triangle.
Step-by-step explanation:
To translate triangle P by the vector [2−5], we add the components of the vector to each coordinate point of the triangle.
Triangle P consists of three points: P₁ (2.165 m, 1.250 m), P₂(−-1.900 m, 3.290 m), 5.27 m, and P₃ (another point of the triangle).
So, to translate triangle P by the vector [2−5], we add 2 to the x-coordinates and subtract 5 from the y-coordinates of each point in the triangle.
The translated triangle P is given by the points: P₁' (4.165 m, -3.750 m), P₂' (0.100 m, -1.710 m), and P₃' (another translated point of the triangle).