Given: AB and CD intersect at point O. Prove that △ACO ≅ △DBO if ∠ACO ≅ ∠DBO and BO ≅ CO .

Question

this is more geometry 

Answer 1

 

First draw the figure

 

In triangle ACO and In triangle DBO

 

Statments                                       reason

 

∠ACO ≅ ∠DBO                               given

 

 

BO ≅ CO                                       given

 

∠AOC ≅ ∠BOD                              vertical angle

 

△ACO ≅ △DBO                          ASA similarity postulate