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andrey2020 [161]
3 years ago
7

Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0
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
Galina-37 [17]3 years ago
5 0

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

Explanation: Since, \triangle EFA and \triangle KFD are similar triangles.

Because, \angle FAE= \angle FDK and \angle FEA= \angle FKD (because EA and KD are parallels. And, \angle F 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.

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