Exercise 2 Page 448

In this exercise we want to graph a triangle and label the missing vertex. To do so, we will use the given information. We are told that the triangle has vertices Q(-2,-4) and R(2,-4), and that the length of its height is 4 units. Let's start with plotting the given vertices in the coordinate plane and connecting them to create one side of the triangle.

We are told that our triangle has a height of 4 units. The height of a triangle is a segment connecting one of the vertices with the opposite side of the triangle. The angle between this side of the triangle and the height is a right angle. To find the third vertex of our triangle, we need to consider any point on side QR and measure 4 units in a vertical direction. Let's measure 4 units up from point Q.

Finally, we can connect all of the vertices to draw a triangle. Let's do it!

Note that here we plotted the missing vertex 4 units up from vertex Q. However, if we plotted this vertex 4 units up or down from any point lying on side QR, we would still end up with a triangle that meets the requirements of our task.