Question

Belinda is drawing a plan of the city zoo. She will construct a circle to represent the walkway that connects the different animal enclosures. The image below shows the location of the animal kingdom, the aquarium, and the butterfly park.


Part A: Using complete sentences, describe the method that she will use to construct a circle connecting these three enclosures.

Part B: Describe a method that can be used to prove that the center of the circle is correct.

Answer 1

No one, responded soo since i answered it here's my answer;


I will first create a triangle with the vertices as those three location marks. Then i will determine its circumcenter using a compass and a straightedge. To create the circumcenter i would do that by finding the perpendicular bisectors for all three lines creating them a straightedge, even though two would be sufficient. Where all those perpendicular bisectors collide would be the center of the circle, and would also be the circumcenter. After using a compass i will point the tip of the compass on the center of the circle and connect to one of the vertices, and create a circle, which would efficiently also cross the other vertices. A method of knowing that the center of the circle is correct, because the distance between it and a vertex, is the radius so since its the radius for all of them it is exactly the point of center since all of them are the same distance away. In addition, since it is found by the perpendicular bisectors it proves that it is in the right spot.