Question

triangle town wants to build a school that is equidistant from its three cities L,M, and N. Which construction correctly finds the best location of the school? A. Construction Y because point E is the incenter of triangleLMN B. Construction Y because point E is the circumcenter of triangleLMN C. Construction X because point C is the incenter of triangleLMN D. Construction X because point C is the circumcenter of triangleLMN

Answer 1

A. Construction Y because point E is the circumcenter of triangle LMN. Construction Y should be used because point E is the circumcenter of triangle LMN.

Step-by-step explanation:

The best location of the school can be found by constructing the incenter or circumcenter of triangle LMN.

To find the incenter, construction X should be used because point C is the incenter. The incenter is the point where the angle bisectors of a triangle intersect. It is equidistant from all three sides of the triangle.

To find the circumcenter, construction Y should be used because point E is the circumcenter. The circumcenter is the point where the perpendicular bisectors of a triangle intersect. It is equidistant from all three vertices of the triangle.

Therefore, the correct construction for finding the best location of the school is:

A. Construction Y because point E is the circumcenter of triangle LMN

Answer 2

A

Step-by-step explanation:

Construction Y because point E is the circumcenter of Triangle LMN