Your Tum 1. Draw the image of $\triangle A B C$ after a translation along $\vec{v}$ Describe how the direction of the above vector $v$ is moving $\triangle A B C$. 2. In your own words, explain what a translation of a figure is.
Solution
Step 1 ：Draw the image of triangle ABC after a translation along vector v.
Step 2 ：The direction of vector v determines the direction in which the triangle ABC is moved. If the vector v is pointing upwards, the triangle ABC is moved upwards; if the vector v is pointing downwards, the triangle ABC is moved downwards; if the vector v is pointing to the right, the triangle ABC is moved to the right; if the vector v is pointing to the left, the triangle ABC is moved to the left.
Step 3 ：A translation in geometry is a type of transformation that moves every point of a figure or a space by the same distance in a given direction.
Step 4 ：Without specific coordinates for the triangle ABC and the vector v, we cannot draw the image of the triangle ABC after the translation.
Step 5 ：\(\boxed{\text{A translation moves every point of a figure or a space by the same distance in a given direction. The direction of the vector v determines the direction in which the triangle ABC is moved.}}\)
