Question

△GHI~△WVU.51010IHG122UVWWhat is the similarity ratio of △GHI to △WVU?Simplify your answer and write it as a proper fraction, improper fraction, or whole number.

Answer 1

Answer: 5

To get the similarity ratio, we must know that for the given triangles:

`(IG)/(UW)=(GH)/(WV)=(HI)/(VU)`

From the given, we know that:

UW = 2

WV = 2

VU = 1

IG = 10

GH = 10

HI = 5

Substitute these to the given equation and we will get:

`\begin{gathered} (IG)/(UW)=(GH)/(WV)=(HI)/(VU) \\ (10)/(2)=(10)/(2)=(5)/(1) \\ 5=5=5 \end{gathered}`

With this, we have the similarity ratio of ΔGHI to ΔWVU is 5