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The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a AAS congruence correspondence?A. ∠A≅∠MB. DA⎯⎯⎯⎯⎯⎯⎯⎯≅MO⎯⎯⎯⎯⎯⎯⎯⎯⎯C. ∠A≅∠OD. ∠O≅∠N

The Pair Of Triangles Below Have Two Corresponding Parts Marked As Congruent What Additional Information Is Needed For A AAS Congruence CorrespondenceA AMB DAMO class=

Sagot :

Step 1

Given; The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for an AAS congruence correspondence?

A. ∠A≅∠M

B. DA⎯⎯⎯⎯⎯⎯⎯⎯≅MO⎯⎯⎯⎯⎯⎯⎯⎯⎯

C. ∠A≅∠O

Step 2

AAS postulate means two angles and a side not included between them.

For these triangles it is given that;

[tex]\begin{gathered} m\angle D\cong m\angle T \\ DN\cong TN \end{gathered}[/tex]

So we need one more angle for the postulate to be complete but this angle must not come in such a way that the congruent side is included in between thus;

[tex]m\angle A\cong m\angle O\text{ is what is required}[/tex]

Answer;

[tex]\angle A\cong\angle O[/tex]

View image MidasV57388
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