CK12 - Geometry

4. If triangle is acute,then the circumcenterlies insideof the triangle.If triangle is obtuse,

then the circumcenterlies outsideof the triangle.If triangle is a right triangle,then the circumcenter
lies on the hypotenuseof the triangle.

a. Yes

b. Yes

c. No

d. Oppositeanglesmustbe supplementary.

a. The trianglesare congruentto one anotherand eachis a right triangle.

7. It is not a wise plan.Since and form an obtusetriangle,the locationof the circumcenterwould
   be outsidethe triangle.Hence,the healthcenterwouldbe locatedat the circumcenter, whichwouldbe a
   muchgreaterdistancefrom eachcity than the distancebetweenthe citiesthemselves.


8. False.It is possibleto haveisoscelestrianglesthat are acute,obtuse,and right.Hence,thereare
   isoscelestriangleswherethe circumcentercouldbe locatedoutsidethe triangle(in the caseof an obtuse
   triangle)or on the boundaryof the triangle(in the caseof a right triangle).