7.1
10 In the given figure, AB = BC and AD = EC. Show that
AABE E ACBD.
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Answer: Triangle ADB is congruent to CEB by S.A.S congruence criterion so BD = BE
Step-by-step explanation:
In triangles ADB and CEB,
AD=EC
AB=BC
Angle BAC = Angle BCA [AB=BC,so ABC is an isosceles triangle. In an isosceles triangle, angles opposite to equal sides are equal.]
So, triangle ADB is congruent to CEB.
Then, by c.p.c.t, BD=BE
-Proved
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