In ∆ ABC and DEF,AB=4cm , DE=4cm,m angle B=50° prove that ∆abc~∆def
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Sol. In triangle ABC and triangle DEF
m∠A = m∠D = 70° (Given)
AB = DE = 4cm (Given)
m∠B = m∠E = 50° (Given)
Then ABC ≅ DEF (By A-S-A Congruency)
Q.2 AB and CD are line segments which intersect at E, BA bisects
CD, AC ⊥ CD, BD ⊥ CD. Prove that ACE ≅ BDE.
Sol. In triangle ACE and triangle BDE
m∠C = m∠D = 90° (Given)
CE = DE (Given, BA bisects CD)m∠CEA = m∠DEB (Vertically opposite angle)
Then ACE ≅ BDE (By A-S-A Congruency)
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