You are given the coordinates of a triangle and coordinates for only one of the vertices of its image under a translation Explain how to translate the entire triangle. c

To translate an entire triangle given the coordinates of its vertices and the coordinates of one vertex of its image under a translation, follow these steps:1. **Identify the Translation Vector:** - Let the original vertex be \( A(x_1, y_1) \). - Let the translated vertex be \( A'(x_2, y_2) \). - The translation vector can be found by calculating: 2. **Apply the Translation Vector to All Vertices:** - For each vertex \( B(x_3, y_3) \) of the triangle, apply the translation vector to find the translated vertex : - Repeat this for all vertices and of the triangle.3. **Plot the Translated Vertices:** - Once you have the translated coordinates for all vertices, plot these new points on the coordinate plane.4. **Connect the Translated Vertices:** - Draw lines between the translated vertices to form the translated triangle.### Example:Suppose you have a triangle with vertices \( A(1, 2) \), \( B(3, 4) \), and \( C(5, 6) \). You are given that the vertex translates to \( A'(4, 5) \).1. **Find the Translation Vector:** 2. **Translate Each Vertex:** - For \( B(3, 4) \): - For \( C(5, 6) \): 3. **Plot the Translated Vertices:** - \( A'(4, 5) \) - \( B'(6, 7) \) - \( C'(8, 9) \)4. **Connect the Translated Vertices:** - Draw lines between \( A'(4, 5) \), \( B'(6, 7) \), and \( C'(8, 9) \) to form the translated triangle.By following these steps, you can accurately translate the entire triangle using the given information.