Question

1. why is the sas method common in bridge design? a. it only uses angles for construction. b. it allows for flexibility in side lengths. c. it ensures stability by relying on fixed angles and sides. d. it minimizes the number of measurements needed. 6. which of the following statements is true for congruent triangles? a. neither corresponding sides nor angles are equal b. only corresponding angles are equal c. only corresponding sides are equal d. both corresponding sides and angles are equal 7. a triangles angle bisectors intersect at a point equidistant from all three sides. this point is called the: a. circumcenter b. orthocenter c. centroid d. incenter

Explanation:

• For question 5, the SAS (Side - Angle - Side) method ensures stability in bridge design as fixed angles and sides create rigid triangular structures. Triangles are inherently stable shapes in engineering.
• For question 6, by definition, congruent triangles have both corresponding sides and corresponding angles equal.
• For question 7, the incenter of a triangle is the point where the angle bisectors intersect, and it is equidistant from all three sides of the triangle.

Answer:

1. c. It ensures stability by relying on fixed angles and sides.
2. d. Both corresponding sides and angles are equal
3. d. Incenter