BELL RINGER  We have been discussing triangle congruency this week. What else do you know about triangles?

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Presentation transcript:

BELL RINGER  We have been discussing triangle congruency this week. What else do you know about triangles?

POINTS OF CONCURRENCY Thursday, November 7, 2013

THE PROBLEM:  A developer plans to build an amusement park but wants to locate it within easy access of the three largest towns in the area as shown on the map below. The developer has to decide on the best location and is working with the ABC Construction Company to minimize costs wherever possible.  No matter where the amusement park is located, roads will have to be built for access directly to the towns or to the existing highways.

(2) LET’S FIGURE THIS OUT..  Investigate the problem by constructing the following:  a) all 3 medians of the triangle  b) all 3 altitudes of the triangle  c) all 3 angle bisectors of the triangle  d) all 3 perpendicular bisectors of the triangle

(4) COMPARE… HOW CLOSE IS YOUR ANSWER IN #1 TO YOUR ANSWER IN #2? (5) GIVE A REASONABLE GUESS AS TO WHAT WE NAME THE POINTS YOU DISCOVERED IN #2 (6) WHAT IS THE NAME OF THE POINT OF CONCURRENCY THAT YOU WILL RECOMMEND FOR THE LOCATION OF THE PARK?

(7) THE PRESIDENT OF THE COMPANY BUILDING THE PARK IS CONCERNED ABOUT THE COST OF BUILDING ROADS FROM THE TOWNS TO THE PARK. WHAT RECOMMENDATION WOULD YOU GIVE HIM? WRITE A MEMO TO THE PRESIDENT EXPLAINING YOUR RECOMMENDATION.