E is the point on the side AD produced of a parallelogram ABC and BE intersects CD at F. Show that TRIANGLE ABE~TRIANGLE CFB.
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Draw a parallelogram ABCD. According to the question to the question to the question, extend AD to E and join E point to B. Let. EB intersect at CD at F point.
In ΔAEB and ΔCBF
∠E=∠B (Alternate Angles)
∠A=∠C (Opposite angles of parallelogram are equal)
∴ΔAEB=ΔCBF
In ΔAEB and ΔCBF
∠E=∠B (Alternate Angles)
∠A=∠C (Opposite angles of parallelogram are equal)
∴ΔAEB=ΔCBF
Aiman111:
can you please draw diagram
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OK this will help you
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