3.7 Constructing Points of Concurrency - Investigation 1: Concurrence

Right Triangle - Angle Bisector
It is concurrent.[br]Angle Measures: 23.2 degrees.[br]    21.15 degrees.[br]    45.66 degrees.
Obtuse Triangle - Angle Bisector
It is concurrent.[br]Angle Measures: 11.7 degrees.[br]    67.86 degrees.[br]    10.44 degrees.
Acute Triangle - Angle Bisector
It is conccurent.[br]Angle Measures: They are all 30 degrees.
Angle Bisector Concurrency Conjecture
The three angle bisectors of a triangle are concurrent
Right Triangle - Perpendicular Bisector
Obtuse Triangle - Perpendicular Bisector
Acute Triangle - Perpendicular Bisector
Perpendicular Bisector Concurrency Conjecture
The three perpendicular bisectors of a triangle are concurrent.
Right Triangle - Altitude
Obutuse Triangle - Altitude
Acute Triangle - Altitude
Altitude Concurrency Conjecture
The three altitudes (or the lines containing the altitudes) of a triangle are conccurent.
Step 7 - Question
In acute, right and obtuse triangles, the point of concurrency of the medians (perpendicular bisector) is inside the triangle.
Close
– alejandra m

Information: 3.7 Constructing Points of Concurrency - Investigation 1: Concurrence