Final answer:
Triangle ABC can be congruent to or not congruent to triangle A'B'C' based on different congruence rules.
Step-by-step explanation:
Triangle ABC can be congruent to or not congruent to triangle A'B'C' based on different congruence rules. Here are the rules:
- Side-Side-Side (SSS): If all three sides of triangle ABC are congruent to the corresponding sides of triangle A'B'C', then the triangles are congruent.
- Side-Angle-Side (SAS): If two sides and the included angle of triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
- Angle-Side-Angle (ASA): If two angles and the included side of triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
- Angle-Angle-Side (AAS): If two angles and a non-included side of triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.
- Hypotenuse-Leg (HL): If the hypotenuse and one leg of a right triangle ABC are congruent to the corresponding parts of triangle A'B'C', then the triangles are congruent.