Chapter 6, Problem 14PT

To determine

To calculate:Tograph the image of the triangle after a dilation centered at the origin with a scale factor of $2$

Answer to Problem 14PT

Image is graphed as

Explanation of Solution

Given information: Triangle $KLM$ is

Formula Used: A dilation is a transformation that produces an image that is the same shape as the original, but it is different size.

Dilation with scale factor $m$ means

$\left(x,y\right)\to \left(mx,my\right)$

Calculation:

Given that scale factor is $2$

Also, triangle $KLM$ is given as

Here, Base $=2$ units

Height $=3$ units.

Scale factor, $m=2$

Thus, after the dilation centered at origin,

Base $=2\times 2=4$ units

Height $=3\times 2=6$ units

Thus, plotting on graph