E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that △ ABE △ CFB .

CBSE Class 10 Maths PYQ · Triangles · Similarity with Triangles · 5 Marks · March 2024 · Standard

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1095 Marks · March 2024 · Standard
E is a point on the side AD produced of a parallelogram ABCD and BE intersects CD at F. Show that $\triangle ABE \sim \triangle CFB$.
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In $\triangle ABE$ and $$\begin{aligned}& \triangle CFB \\ & \angle EAB = \angle BCF \\ & \angle AEB = \angle CBF \\ & \Rightarrow \triangle ABE \sim \triangle CFB\end{aligned}$$
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