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Answers
Answer:
that's written:- opposite angles of an isosceles triangle...
hope it helps ☺️
Given:-
AB = AC
EB = CD
To Prove:-
AD = AE
Proof:-
In △ABE and △ADC
EB = CD (given)
Angle ABE = Angle ACD (angles opposite to an equal side are equal)
AB = AC (given)
•°• △ABE ⩭ △ADC
By S.A.S
•°• AD = AE (by C.P.C.T.C)
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Additional
Information
Conditions for Congruency of Triangles:-
▪S.A.S
If two sides of one triangle are equal to the other two sides of the other triangle and one angle is equal to the other angle of the other triangle then the triangle is proved congruent by S.A.S
▪A.S.A
If two angles of one triangle are equal to the two angles of the other triangle and one side is equal to the other side of the other triangle then the triangle is proved congruent by A.S.A
▪A.A.S
If two angles of one triangle are equal to the two angles of the other triangle and one side is equal to the other then the triangle is proved congruent by A.A.S
▪S.S.S
If all the sides of a triangle are equal to the other triangle's sides then the triangle is proved congruent by S.S.S
▪R.H.S
If the hypotenuse and one side is equal to the hypotenuse and a side of the other triangle then the triangle is proved congruent by R.H.S