Question

Please answer and show all work (15 points!)

Answer 1

Question 1:

In ΔSTU and ΔDEU,


`(SU)/(DU) = (39)/(16)` ≠
`(40)/(16) = (TU)/(EU)`

∠SUT = ∠DUE [ Opposite angles ]

Thus, ΔSTU and ΔDEU are NOT similar. as the ratio of the length of the sides is not a constant.

Question 2:

In ΔABC and ΔHGF,


`(AB)/(HG) = (72)/(12) = 6`


`(AC)/(HF) = (84)/(14) = 6`


`(BC)/(GF) = (48)/(8) = 6`

Thus,
`(AB)/(HG)= (AC)/(HF) = (BC)/(GF) = 6`

Hence, ΔABC and ΔHGF are similar by SSS similarity criterion.