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

Explanation

Step 1

find the factor

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

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

$\begin{gathered} \frac{2}{3}=0.666 \\ 0.666<1 \end{gathered}$

then, it is a reduction