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Since △AOC ≅ △BOD when AB and CD bisect each other at O, what can be said about AC and BD?

Class 9SAS, ASA and AAS CongruenceGeometry — Triangles
  • AAC ⟂ BD
  • B
  • CAC and BD meet at O
  • DAC ∥ BD

Step-by-Step Solution

By CPCT, ∠CAO = ∠DBO. These are alternate angles made by transversal AB with AC and BD, so AC ∥ BD.
Answer: D) AC ∥ BD

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