Find the perpendicular bisector between the two Lowe's locations.
This third red dot represents a different chain. Recall that the perpendicular bisector helps find equidistance between points, in this case the Lowe's stores.[br][br]Your perpendicular bisector should nearly pass through this store. What store do you think this is? Why would they put it here?
The third store is Home Depot!
Construct the 3 Perpendicular Bisectors of each triangle[br][br]Construct the point of concurrency (circumcenter which is the intersection of the three lines) for each triangle.[br][br]Construct the Circumcircle (center at the circumcenter and passing through the vertices).
The Circumcenter (point of intersection of the 3 perpendicular bisectors) is located __________________.
Construct the 3 Angle Bisectors of each triangle[br][br]Construct the point of concurrency (incenter which is the intersection of the three lines) for each triangle.[br][br]Construct the perpendicular line from the incenter to one of the sides. Mark the intersection at the right angle where the two lines meet.[br][br]Construct the Incircle (center at the incenter and the point identified on the last step).
The Incenter (point of intersection of the 3 angle bisectors) is located __________________.
Construct the 3 Medians of each triangle (find the midpoint of each side and connect to the opposite vertex.[br][br]For Triangle ABC, mark the centroid (point of concurrency) as point X and the intersection on SegmentBC as point Y. [br][br]Measure AX[br]Measure XY.[br][br]Calculate 2*XY. What do you notice?[br][br]For Triangle DEF, mark the Centroid [br][br]
The Centriod (point of intersection of the 3 medians) is located __________________.
Construct the 3 Altitudes of each triangle (Perpendicular from a vertex to the opposite side)[br][br]Construct the point of concurrency (orthocenter: which is the intersection of the three lines) for each triangle.[br][br]
The Orthocenter (point of intersection of the 3 Altitudes) is located __________________.