Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.
the pictures in order are
a
b
c
d
and the last picture is a figure if an awnser is missing please tell me if that one is the correct one




Which of the following proportions can be used to prove AE DK in the proof below Select all that apply the pictures in order are a b c d and the last picture i class=
Which of the following proportions can be used to prove AE DK in the proof below Select all that apply the pictures in order are a b c d and the last picture i class=
Which of the following proportions can be used to prove AE DK in the proof below Select all that apply the pictures in order are a b c d and the last picture i class=
Which of the following proportions can be used to prove AE DK in the proof below Select all that apply the pictures in order are a b c d and the last picture i class=
Which of the following proportions can be used to prove AE DK in the proof below Select all that apply the pictures in order are a b c d and the last picture i class=

Respuesta :

Triangle AEF and triangle DFK are similar to each other, this implies that the ratio of the corresponding sides are equal. Hence:
Using the proportions and ratio we have
 the correct statement is:
b

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, [tex]\triangle EFA[/tex] and [tex]\triangle KFD[/tex] are similar triangles.

Because, [tex]\angle FAE= \angle FDK[/tex] and [tex]\angle FEA= \angle FKD[/tex] (because EA and KD are parallels. And, [tex]\angle F[/tex] is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.