Question

a triangle is formed by three streets intersecting at points a, b, and c. to find the best location for a fire station equidistant from all three streets, you would use the: a. incenter b. circumcenter c. centroid d. orthocenter if a triangle has medians intersecting at a single point, this point is called the: a. incenter b. centroid c. circumcenter d. orthocenter what is the criterion for proving the similarity of triangles by comparing two pairs of corresponding angles? a. sas b. aa c. sss d. asa

Explanation:

1. The in - center of a triangle is the point that is equidistant from all three sides (streets in this case), as it is the center of the inscribed circle and the intersection of the angle bisectors.
2. The centroid of a triangle is the point of intersection of its medians (lines connecting a vertex to the mid - point of the opposite side).
3. The AA (angle - angle) similarity criterion states that if two pairs of corresponding angles in two triangles are equal, then the triangles are similar.

Answer:

1. a. Incenter
2. b. Centroid
3. b. AA