Write a two column proof that segment AC `cong` segment BD.   Statements                                 Reasons

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In given fig.

consider triangle ABC and triange BAD.

i.e. in  `Delta ABC andDelta BAC`

`angle ABC= angle BCA`     (given)

        AB=  BA                 ( same segment)

`angle BAC=angle ABD= 90^o `     (given)

Thus by ASA property `Delta ABC cong Delta BAC`

since congruent part of cobgruent triangles are equal . Therefore

AC=BD. 

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