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Decide whether enough information is given to prove that the triangles are congruent. If so, state the theorem you would use



not enough information provided


yes; AAS Congruence Theorem


yes; SAS Congruence Theorem


yes; SSS Congruence Theorem

Decide whether enough information is given to prove that the triangles are congruent If so state the theorem you would use not enough information provided yes A class=

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goodLizard

Answer:

Yes; AAS Congruence Theorem

Proof:

In [tex]\triangle ABC[/tex] and [tex]\triangle QRS[/tex]:

[tex]\angle BAC = \angle RQS[/tex] (given)

[tex]\angle ABC = \angle QRS[/tex] (given)

[tex]AC =QS[/tex] (given)

∴ [tex]\triangle ABC \cong \triangle QRS[/tex] (AAS)

There is enough information to prove that the two triangles are congruent through the AAS congruence theorem.

Hope this helps :)

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