Question

true or false the translation vector < 3, -8 > maps \\( \triangle efg \\) to \\( \triangle efg \\).

Explanation:

Step1: Check the x - coordinate change

For a translation vector \(\langle a,b
angle\), \(a\) is the horizontal change.
Take point \(F\) (original) and \(F'\) (image). Suppose \(F=(x_1,y_1)\) and \(F'=(x_2,y_2)\). The change in \(x\) - coordinate is \(x_2 - x_1\). If we assume \(F=(0,5)\) (from the graph, approximate position) and \(F'=(3, - 3)\) (approximate position), \(x_2 - x_1=3-0 = 3\).

Step2: Check the y - coordinate change

\(b\) is the vertical change. \(y_2 - y_1=-3 - 5=-8\)

Answer:

True