Given:
ad | | bc
ad = bc
prove:
adm bcm
which of the following reasons will complete the proof?
sas
asa
sss

- "ASA congruence postulate" is the reason which completes the proof.

Explanation:-

Given:- AD | | BC  and AD = BC

To prove:- ΔADM ≅ΔBCM

Proof:-   Statement         Reason

1.             AD=BC                 [Given]

2.  ∠1=∠3 ; ∠2=∠4   [If lines parallel, then alternate interior angles are equal]

3.             ΔADM ≅ΔBCM   [ASA congruence postulate]

Thus, "ASA congruence postulate" is the reason which completes the proof.

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