Complete the following: In an isosceles trapezium, the base angles are __________________.
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In isosceles trapezium , the base angles
are equal .
Given :ABCD is an Isosceles trapezium.
AB // CD ,
AD = BC
To prove : <A = <B
Construction : Draw DE and CF
perpendiculars to AB .
Proof :
In ∆AED , ∆BFC
<AED = <BFC = 90° [ construction ]
AD = BC ( given )
DE = CF [ altitude between two
parallel lines ]
Therefore ,
∆AED ≅ ΔBFC [ RHS congruence rule ]
<A = <B [ C.P.CT ]
Base angles are equal .
•••••
are equal .
Given :ABCD is an Isosceles trapezium.
AB // CD ,
AD = BC
To prove : <A = <B
Construction : Draw DE and CF
perpendiculars to AB .
Proof :
In ∆AED , ∆BFC
<AED = <BFC = 90° [ construction ]
AD = BC ( given )
DE = CF [ altitude between two
parallel lines ]
Therefore ,
∆AED ≅ ΔBFC [ RHS congruence rule ]
<A = <B [ C.P.CT ]
Base angles are equal .
•••••
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Hey there!
Answer:
In an isosceles trapezium, the base angles are equal .
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