Respuesta :

Answer:

Devon use [tex]\frac{XZ}{TV}[/tex] instead of [tex]\frac{TV}{XZ}[/tex] in his reason. So, we can say that triangles are not similar.

Step-by-step explanation:

If two triangles are similar then their corresponding sides are proportional.

If triangle TUV and XYZ are similar, then

[tex]\frac{TU}{XY}=\frac{UV}{YZ}=\frac{TV}{XZ}[/tex]

The reason given be Devon is

[tex]\frac{TU}{XY}=\frac{UV}{YZ}=\frac{XZ}{TV}[/tex]

He use the correct concept, that the corresponding sides of similar triangle are proportional. But he use [tex]\frac{XZ}{TV}[/tex] instead of [tex]\frac{TV}{XZ}[/tex] in his reason.

Therefore his reason is incorrect. So, we can say that triangles are not similar.