Question

explaining how to translate a figure
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

Explanation:

1. Find the translation vector:

• Let the original vertex be \((x_1,y_1)\) and its image be \((x_2,y_2)\). The translation vector \((a,b)\) is found by \(a=x_2 - x_1\) and \(b=y_2 - y_1\).

1. Apply the translation to all vertices:

• For each vertex \((x,y)\) of the original triangle, the image vertex is \((x + a,y + b)\).

Answer:

First, find the translation vector by subtracting the coordinates of the original vertex from the coordinates of its image. Then, apply this vector to all vertices of the original triangle to get the image of the entire triangle.