PLEASE HELP ME ON THAT I REALLY NEEDED. Tell be the statement and the reason please also please do it in order because is on aleks. THANKS!

CD = EC ⇒ proved down

Step-by-step explanation:

If a point lies on a segment, then it divides the segment into two parts, the sum of their length equals the length of the segment

Example:

If point Z lies on the segment XY, then Z divides XY into segments XZ and ZY, where XY = XZ + ZY

Let us use this fact to solve the question

∵ BD and EF intersected at point C

∴ C divides BD into two segments BC and CD

∴ C divides EF into two segments EC and CF

→ By using the fact above

∴ BD = BC + CD

∴ EF = EC + CF

∵ BD = EF ⇒ given

→ Equate their right sides

∴ BC + CD = EC + CF

∵ BC = CF ⇒ given

→ That means their adding segments are equal

∴ CD = EC ⇒ proved

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