Question

Two triangles ABC and GEF are represented. Segment AC and segment EG have a single tick mark. Segment BC and segment GF have double tick marks. The condition proves that ∆ABC and ∆GEF are congruent by the SAS criterion. If AB ≠ EF, the criterion for congruency is violated. In this situation, angle C angle G.

a. Are congruent
b. Are supplementary
c. Form a linear pair
d. Are complementary

Answer 1

The SAS criterion proves that ∆ABC and ∆GEF are congruent.

Step-by-step explanation:

When two triangles are congruent, it means that they have the same shape and size. In this case, the triangles ∆ABC and ∆GEF can be proven congruent using the SAS (Side-Angle-Side) criterion. The given information states that segment AC is congruent to segment EG and segment BC is congruent to segment GF. This satisfies the SAS criterion, which states that if two triangles have two sides and the included angle of one triangle congruent to the corresponding parts of another triangle, then the triangles are congruent.

Therefore, the correct option is a. Are congruent. The angles C and G are not mentioned in the given information, so we cannot determine their relationship based on the information provided.