Chapter 8.1, Problem 60SPR

To determine

To sketch: The graph from the points and verify that the dilation is a similarity transformation.

Answer to Problem 60SPR

By AA similarity theorem triangles are similar.

Explanation of Solution

Given Information:

  $G\left(-4,-4\right),H\left(-1,2\right),J\left(2,-1\right);K\left(-3,-2\right),L\left(1,0\right)$ .

Graph:

Consider the given points $G\left(-4,-4\right),H\left(-1,2\right),J\left(2,-1\right);K\left(-3,-2\right),L\left(1,0\right)$ .

Now, draw the graph.

  

Interpretation:

From the figure there are two triangles $\Delta HKL\text{and}\Delta HGJ$ .

Now,

  $\text{Slop}\text{of}KL=\text{Slop}\text{of}GJ=\frac{1}{2}$

Thus, $KL\Vert GJ$

Thus, the corresponding angles are congruent.

Thus, by AA similarity theorem triangles are similar.