Clarify................
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Taking FB = FB won't help as FB is a side of CFB but not a side of AEB.
To prove similarity:
1. CD || AB
So if you consider the transversal EB,
Angle CFB = Angle ABE
2. AE || BC and CD || AB
So ABCD is a parallelogram.
Angle BCF = Angle BAE
∆BCF ~ ∆EAB (AA similarity)
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