Exercise 7 Page 178

Before we attempt to translate the given points, let's draw the triangle △ DEF on a coordinate plane.

We can translate this triangle using the given translation vector, ⟨-3,- 7⟩. The first number in the component form of a vector tells us how we should move the points in the horizontal direction. The second number in the vector tells us how we should move in the vertical direction. Let's move point D first.

The new point D' is a translation of point D by 3 steps to the left and 7 steps down. Now we will do the same thing for points E and F.

Now that we have translated all the points, we can draw our new triangle.