Question

Can two triangles be proven congruent when the three angles are each congruent? Why or why not?

Yes, two triangles can be proven congruent when the three angles are congruent because the only way three angles can be congruent is if the three sides are also congruent.
Yes, two triangles can be proven congruent when the three angles are congruent because the sum of the three angles is 180 for both triangles.
No, two triangles cannot be proven congruent when the three angles are congruent because the sum of the three angles is 180, not 90.
No, two triangles cannot be proven congruent when the three angles are congruent because the sides of the triangles may not be congruent.

Answer 1

Yes, two triangles can be proven congruent when the three angles are congruent because of the Angle-Angle-Side congruence criterion.

Step-by-step explanation:

Yes, two triangles can be proven congruent when the three angles are congruent because the sum of the three angles is 180 for both triangles. This property is known as the Angle-Angle-Side (AAS) congruence criterion. When two triangles have two pairs of congruent angles and one pair of congruent corresponding sides, they are congruent.

Although congruent angles reveal some aspects of the triangles, they are not sufficient to establish congruence on their own. To demonstrate that a triangle is congruent, additional information about the sides or angles is required.

Answer 2

Step-by-step explanation:

No. You need one pair of the sides to be congruent as well as the 3 angles of each triangle. The last answer is the correct one.