Question

Determine if the following triangles are similar. If so, complete the similarity statement and stating which theorem (AA~/SSS~/SAS~) applies. If not, explain why.

Answer 1

The triangle QRS is similar to triangle TUV by the statement of SSS because of the information given is about the sides

for example

the ratio to obtain the size of the sides of triangle QRS from the size of the sides of triangle TUV is 4/3

`RS=(4)/(3)UV=(4)/(3)(9)=12`
`QS=(4)/(3)(TV)=(4)/(3)(18)=24`
`QR=(4)/(3)TU=(4)/(3)(12)=16`

so we can say that the triangles are similar by SSS statement