Question

Determine if the two triangles shown are similar if so right similarities statement

Answer 1

Let us compare the ratios of the lengths to see if there is a relationship

`\begin{gathered} (14)/(49)=(2)/(7) \\ \text{also} \\ (8)/(28)=(2)/(7) \end{gathered}`

From the comparison, we can see that

`(14)/(49)=(8)/(28)`

Then it followed that

`(VM)/(MU)=(ML)/(MT)=(VL)/(UT)`

Since the ratios of the sides of the two triangles are equals to each other, it is definite that the two triangles are similar.

Hence, triangle VLM is congruent of similar to triangle UTM