Chapter 8.1, Problem 59SPR

To determine

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

Answer to Problem 59SPR

By SSS similarity theorem triangles are similar.

Explanation of Solution

Given Information:

  $A\left(-3,1\right),B\left(9,7\right),C\left(3,2\right),D\left(-1,1\right),E\left(3,3\right),F\left(1,0\right)$ .

Graph:

Consider the given points $A\left(-3,1\right),B\left(9,7\right),C\left(3,2\right),D\left(-1,1\right),E\left(3,3\right),F\left(1,0\right)$ .

Now, draw the graph.

  

Interpretation:

From the figure there are two triangles $\Delta ABC\text{and}\Delta EDF$ .

Now,

  $\frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}=\frac{3}{1}$

Thus, by SSS similarity theorem triangles are similar.