Chapter 14.5, Problem 7CE

To determine

To find what dilation with center O maps A to B.

Answer to Problem 7CE

The dilation $D_{O,\frac{1}{2}}$ maps A to B with center O.

Explanation of Solution

Given information:

The given points are:

  

Calculation:

The solution can be obtained by:

  $A\text{'}=\frac{1}{2}\cdot A\left(4,4\right)=A\text{'}\left(2,2\right)=B$

Hence, the dilation $D_{O,\frac{1}{2}}$ maps A to B with center O.