Question

Help pls!! Which scale factor was used to transform triangle MNP to triangle RST?

Answer 1

Answer:

$\boxed{\textsf{ The sacle factor is \textbf{3.5} . }}$

Step by step explanation:

Here two triangles are given to us . The two triangles are ∆MNP and ∆RST. They are similar to each other . That is ,

$\sf\implies \triangle MNP \sim \triangle RST$

Now we know that the corresponding sides of the similar triangles are proportional . Hence here ,

$\sf\implies \dfrac{MN}{RS}=\dfrac{NP}{ST}=\dfrac{MP}{RT}$

Here we are given the value of side NP as 7 and ST as 2 . So here we can find out the scale factor by dividing these two .

$\sf\implies Scale \ Factor = \dfrac{ NP}{ST}\\\\\sf\implies Scale \ Factor = \dfrac{7}{2} \\\\\sf\implies \boxed{\pink{\frak { Scale \ Factor = 3.5 }}}$