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ABCD is an isosceles trapezium . `bar(AB) ||bar(CD)`. AE and BF are the perpendicular drawn to CD. The congruence property used to prove the congurence of triangles AED and BFC is ______
A. RHS
B. SAS
C. SSS
D. ASA

1 Answer

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Correct Answer - A
image
In `DeltaAED and DeltaBFC, angleAED=angleBFC=90^(@).`
AD=BC
AE=BF= Height of the trapezium.
By RHS, `DeltaAED and DeltaBFC` are congruent.
Option (a) follows.
Hence, the correct option is (a).

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