Chapter 14.5, Problem 16ST1

To determine

To complete the statement.

Answer to Problem 16ST1

The complete statement is $D_{M,-\frac{1}{2}}$ maps $B$ to $Q$ .

Explanation of Solution

Given information:

The reflections in the x- and y-axes are denoted by $R_x\text{ and }{R}_y$ respectively.

  

The given statement is $D_{M,-\frac{1}{2}}$ maps $B$ to $?$

The position of $B$ is two units upwards $M$ .

The dilation with $M$ as center and scale function $-\frac{1}{2}$ maps $B$ to one unit down, that is $Q$ .

Hence, the complete statement is $D_{M,-\frac{1}{2}}$ maps $B$ to $Q$ .