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justiceharris8
13.07.2019 •
Mathematics
Points c and d are equidistant from point a. complete the following table to prove that aec≅ aed statement reason 1. ad ≅ 2. cae ≅ ae is the 3. ae ≅ 4. ead ≅
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Ответ:
It is given that points C and D are equidistant to point A. Hence,
AD ≅ AC
Next, CAE ≅ DAE. AE is the common side or the included side.
Then, AE ≅ EA by Reflexive Property of Congruence as it is congruent to itself.
Lastly, EAD ≅ EAC by Symmetric Property of Congruence as these triangles are mirror image of each other.
Therefore, we can conclude that AEC≅ AED by SSS or Side-Side-Side. That is when all sides of triangles are congruent then both triangles are deemed to be equal.
Ответ:
Step-by-step explanation:
Given: Points C and D are equidistant from point A.
To prove: AEC≅ AED
Proof:
It is given that points C and D are equidistant to point A. Hence,
AD ≅ AC
Now, CAE ≅ DAE. ( Because AE is the common side or the included side)
Then, AE ≅ EA (by Reflexive Property of Congruence )
Also, EAD ≅ EAC (by Symmetric Property of Congruence as these triangles are mirror image of each other)
Therefore, we can be concluded that AEC≅ AED by SSS rule of congruency.
Hence proved.
Ответ:
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Step-by-step explanation: