in the figure AB =CF ,EF =BD . angel AFE =angel CBD . Prove that triangle AFE congruent = triangle CBD .
Answers
Answer:
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Step-by-step explanation:
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AB=CF
angle AFE=angle DFE
EF=BD.
thus,by SAS,ΔAFE congruent to ΔCBD.
by CPCT, angle AFE equals angle DFE.
we can say that it is congruet because SAS means the side included angle and side.
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Answer:
AE = CD
Step-by-step explanation:
In triangle AFE and CBD:
<AFE =<CBD. ( GIVEN)-------(i)
AE=DC ( SIDE OPP. TO EQUAL ANGLES) FROM(i)
EF= BD. (GIVEN)
--> by SAS congruence rule.
∆ AFE ~ ∆ CBD
(ii)
FROM (i )
AE= CD.