Question

Have to state if the triangles are similar or not.

2. You have to provide the postulate used if similar.

3. You have to complete the similarity statement. 4. You have to support your answers with work.

Answer 1

Explanation:

10). 1). Both the triangles are not similar.

2). For the similarity of two triangles, corresponding sides of the triangles should be proportional and the included angles should be equal in measure.

Although the angle given is equal but the corresponding sides of the triangles are not proportional, triangles are not similar.

`(UW)/(HF)= (UV)/(GF)` (For similar triangles)

`(9)/(21)= (18)/(42)`

`(3)/(7)=(6)/(7)`

But
`(3)/(7)\\eq (6)/(7)` therefore, both the triangles are not similar.

11). In ΔTUV and ΔCDE,

If the given triangles are similar, their corresponding sides will be proportional and the included angle will be equal in measure.

∠C ≅ ∠T [Given]

`(TU)/(CD)= (UV)/(DE)`

`(30)/(10)=(27)/(9)`

3 = 3

True.

Therefore, ΔTUV ~ ΔCDE (By SAS postulate of similarity]