E and F are respectively the midpoints of non parallel sides AD and BC of the trapezium ABCD. Prove that EF is parallel to AB and E is 1/2 (AB+CD)
ill mark brainliest if you answer what ive asked and not something bakwaas and also with full explanation
Answers
Answered by
0
Mark as brainlest. And follow REDPLANET.
Attachments:
Answered by
0
Answer:
Join CE and produce it to meet BA produced at G
In △EDC and △EAG,
⇒ ∠CED=∠GEA [ Vertically opposite angles ]
⇒ ∠ECD=∠EGA [ Alternate angles ]
⇒ ED=EA [ Since, E is the midpoint of AD ]
⇒ △EDC≅△EAG [ By AAS congruence theorem ]
⇒ CD=GA and EC=EG [ By CPCT ]
In △CGB,
E is the midpoint of CG and F is the mid-point of BC.
By mid-point theorem,
∴ EF∥AB
Hence Proved.
solution
Similar questions