mnematova24 mnematova24

22-01-2021
Mathematics

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Given: triangle ABC and triangle EDC, C is the midpoint of BD and AE.
Prove: AB || DE

Given triangle ABC and triangle EDC C is the midpoint of BD and AE Prove AB DE class=

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evgeniylevi evgeniylevi

22-01-2021

Step-by-step explanation:

1. ΔABC=ΔCDE: a) according to the condition BC=CD and AC=CE; b) m∠(BCA)=m∠(DCE).

2. if ΔABC=ΔCDE, then m∠(BAC)=m∠(DEC) and m∠(ABC)=m∠(CDE).

3. if m∠(BAC)=m∠(DEC), then AB || DE (or if m∠(ABC)=m∠(CDE), then AB || DE).

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