Question

In the given figure AE=DE, CE=BE, the prove that AB=CD. ​

Answer 1

Step-by-step explanation:

given:

AE=DE and CE=BE

to prove: AB=CD

proof:

In ΔAEB and ΔCED

AE=DE (given)

<AED=<CED (vertically opposite angles)

CE=BE (given)

therefore, ΔAEB=^~ΔCED (by SAS congruence)

therefore, AB=CD (by cpctc)