If two triangles have three congruent, corresponding angles, what additional information is needed to prove that the triangles are congruent?

One corresponding pair of sides is congruent.

Step-by-step explanation:

If two triangles have three congruent corresponding angles,

Then the postulates that will be needed to proof the triangles congruent are,

1) AAS   ( Angle-Angle-Side )

2) ASA ( Angle - Side - Angle)

Since, in the both postulates we need at least one pair of congruent sides.

Hence, the additional information that will be used to proof two triangles congruent when it is given that they have three congruent corresponding angles is 'they have one pair of congruent sides'.

In the AAS (Angle Angle Side) or ASA (Angle SIde Angle) postulate, two triangles are congruent to each other when atleast two angles and atleast one side of each triangle are congruent to each other. So, the additional information is needed to prove that the triangles are congruent is atleast one congruent side.

Given :

Two triangles have three congruent, corresponding angles.

To prove that the triangles are congruent to eaxh other, AAS (Angle Angle Side) or ASA (Angle SIde Angle) postulate is needed.

According to the AAS (Angle Angle Side) or ASA (Angle SIde Angle) postulate, two triangles are congruent to each other when atleast two angles and atleast one side of each triangle are congruent to each other.

So, through AAS or ASA postulate atleast one congruent side is needed to prove that two triangles are congruent to each other.

For more information, refer the link given below:

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step-by-step explanation:

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