In the diagram, AE = 2AC and ∠BAC ≅ ∠DAE. What additional information is necessary to prove that ΔABC is similar to ΔADE, using the SAS similarity theorem? AB = 2AD AD = 2AB BC = 2DE DE = 2BC

Question

Dylan Williams

Mathematics

1 December, 12:06

In the diagram, AE = 2AC and ∠BAC ≅ ∠DAE. What additional information is necessary to prove that ΔABC is similar to ΔADE, using the SAS similarity theorem? AB = 2AD AD = 2AB BC = 2DE DE = 2BC

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Answers (2)

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Rachel Zamora · Answer 1

Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...

... AD = 2AB

since you want the sides of triangle ADE to be twice then length of those in triangle ABC.

Itzel Curtis · Answer 2

Step-by-step explanation:

The answer is B

AD=2AB