Question

State the name of the congruence theorem that can be used to prove the congruence of two triangles when their three sides are in proportion.

OPTION 1: Angle-Angle (AA) theorem
OPTION 2: Side-Angle-Side (SAS) theorem
OPTION 3: Side-Side-Side (SSS) theorem
OPTION 4: Angle-Side-Angle (ASA) theorem

Answer 1

The congruence theorem that can be used to prove the congruence of two triangles when their three sides are in proportion is the Side-Side-Side (SSS) theorem.

Step-by-step explanation:

The congruence theorem that can be used to prove the congruence of two triangles when their three sides are in proportion is the Side-Side-Side (SSS) theorem.

The SSS theorem states that if the three sides of one triangle are proportional to the corresponding three sides of another triangle, then the triangles are congruent.

For example, if triangle ABC has sides AB, BC, and AC that are proportional to the corresponding sides of triangle DEF, then triangle ABC is congruent to triangle DEF.