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In the diagram AB =AD and

In the diagram AB =AD and-example-1

2 Answers

2 votes

Answer:

A). AC ≅ AE

Step-by-step explanation: took test on edge

User Stravid
by
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5 votes

Answer:

AC ≅ AE

Explanation:

According to the SAS Congruence Theorem, for two triangles to be considered equal or congruent, they both must have 2 corresponding sides that are of equal length, and 1 included corresponding angle that is of the same measure in both triangles.

Given that in ∆ABC and ∆ADE, AB ≅ AD, and <BAC ≅ DAE, the additional information we need to prove that ∆ABC ≅ ADE is AC ≅ AE. This will satisfy the SAS Congruence Theorem. As there would be 2 corresponding sides that are congruent, and 1 corresponding angle in both triangles that are congruent to each other.

User Oldestlivingboy
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4.6k points
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