Question

5. Triangle DEF is dilated using the algebraicrepresentation (x, y)+(x,y). Identify the scalefactor used.Is this an enlargement or a reduction?

Answer 1

0.666, reduction

Step-by-step explanation

Step 1

find the factor

`\begin{gathered} \left(x,y\right)=((2)/(3)x,\text{ }(2)/(3)y) \\ (x,y)=(2)/(3)(x,y) \\ so\text{ , the factor is}(2)/(3) \end{gathered}`

Step 2

if the factor is more than 1, then it is an enlargement

if the factor is less than 1, then it is a reduction

check

`\begin{gathered} (2)/(3)=0.666 \\ 0.666<1 \end{gathered}`

then, it is a reduction