ammyraammirez24
28.05.2020 •
Mathematics
Fill in the blank. Given below, you can conclude that so is congruent to
B
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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.