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Answer:
No, Angle Angle Angle is not a proof that two triangles are congruent. It is only proof that they are similar.
The shape of a triangle is based on its angle measures. Its size, however, is dependent on the length of its sides.
To be congruent, angles and sides must have the same measure.
For instance, angle measures of 90, 60, and 30 could create a right triangle with side lengths of 3, 4, 5 and a right triangle with side lengths of 6, 8, 10. The two triangles are not the same size, even though their angles are congruent. So AAA is not enough to prove congruency. You must use a side measure at some point.
The shape of a triangle is based on its angle measures. Its size, however, is dependent on the length of its sides.
To be congruent, angles and sides must have the same measure.
For instance, angle measures of 90, 60, and 30 could create a right triangle with side lengths of 3, 4, 5 and a right triangle with side lengths of 6, 8, 10. The two triangles are not the same size, even though their angles are congruent. So AAA is not enough to prove congruency. You must use a side measure at some point.
First answer by ID1453667729.
Last edit by Grubbs82.
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