Practice and Problem-Solving Exercises

A Practice

See Problem 1.

Coordinate Geometry Find the coordinates of the circumcenter of each triangle.

Coordinate Geometry Find the coordinates of the circumcenter of Δ A B C . cap delta eh b c .

9. A(0, 0)

   B(3, 0)

   C(3, 2)

10. A(0, 0)

    B(4, 0)

    C ( 4 , − 3 ) c open 4 comma negative 3 close

11. A ( − 4 , 5 ) eh open negative 4 comma 5 close

    B ( − 2 , 5 ) b open negative 2 comma 5 close

    C ( − 2 , − 2 ) c open negative 2 comma negative 2 close

12. A ( − 1 , − 2 ) eh open negative 1 comma negative 2 close

    B ( − 5 , − 2 ) b open negative 5 comma negative 2 close

    C ( − 1 , − 7 ) c open negative 1 comma negative 7 close

13. A(1, 4)

    B(1, 2)

    C(6, 2)

See Problem 2.

14. City Planning Copy the diagram of the beach. Show where town officials should place a recycling barrel so that it is equidistant from the lifeguard chair, the snack bar, and the volleyball court. Explain.

    

See Problem 3.

Name the point of concurrency of the angle bisectors.

Find the value of x.

17. 
18. R S = 4 ( x − 3 ) + 6  and  R T = 5 ( 2 x − 6 ) . r s equals 4 , open x minus 3 close , plus 6 , and . r t equals 5 , open 2 x minus 6 close .

    

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