Chapter 6.8, Problem 2CYP

To determine

To find: The new vertices of a figure with given vertices after a dilation with a scale factor of 3.

Answer to Problem 2CYP

New coordinates after dilating the figure with given vertices $X^{\prime }\left(-9,18\right),Y^{\prime }\left(9,0\right),Z^{\prime }\left(9,9\right)$ Or, option J is correct answer.

Explanation of Solution

Given information: Given the following vertices of a figure $X\left(-3,6\right),Y\left(3,0\right),Z\left(3,3\right)$ to be dilated with the scale factor 3.

Concept used: To get the new coordinates of each vertex, each given original x and y coordinate will be multiplied by given scale factor 3.

Calculation: Coordinate of imaged vertex:

  $\begin{array}{l}X`=(-3\times 3,6\times 3)=(-9,18)\\ Y`=(3\times 3,0\times 3)=(9,0)\\ Z`=(3\times 3,3\times 3)=(9,9)\end{array}$

Therefore, new corresponding vertices are: $X^{\prime }\left(-9,18\right),Y^{\prime }\left(9,0\right),Z^{\prime }\left(9,9\right)$ .