Unit 6 Geometry

point of congruency for angle bisectors, will always be inside the triangle (is the center of the circle), and is equidistant to all 3 sides of the triangle

point of congruency for perpendicular bisectors (will be inside for acute, on midpoint of hypotenuse for right, and outside for obtuse), is the center of the circle and is equidistant from all 3 vertices of the triangle

point of congruency for medians (perpendicular bisector marked with doc and congruency lines on each side), is the center of gravity for the circle (!!), always inside the triangle, and is 2/3 from each vertex and 1/3 to opposite side (2:1)

find angles making up hypotenuse and solve for midpoints of x & y

take the average of the x coordinates of the three vertices & y vertices (add up then divide by 3 for each point)

line segment connecting vertex of a triangle to midpoint on opposite side (creates dot)

the perpendicular drawn from the vertex of the triangle to the opposite side (creates right angle)

Point of concurrency for the altitudes of the triangle (inside for acute, on vertex of right triangle for right, outside for obtuse)

perpendicular bisectors