Question

State the congruence rule and justify your reasoning for determining the triangles are congruent. Be thorough and use proper grammar rules.

Answer 1

The congruence rule for determining if two triangles are congruent is the SSS (Side-Side-Side) rule.

Step-by-step explanation:

The congruence rule for determining if two triangles are congruent is the SSS (Side-Side-Side) rule. According to this rule, if all three sides of one triangle are congruent to the corresponding three sides of another triangle, then the triangles are congruent.

For example, if triangle ABC has side lengths AB = 5cm, BC = 4cm, and AC = 3cm, and triangle DEF has side lengths DE = 5cm, EF = 4cm, and DF = 3cm, then triangle ABC is congruent to triangle DEF because all three sides of triangle ABC are congruent to the corresponding three sides of triangle DEF.

Therefore, using the SSS rule, we can justify that the triangles are congruent.