Unit 6 Geometry

Question 1

Incenter

Answer 1

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

Question 2

Circumcenter

Answer 2

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

Question 3

Centroid

Answer 3

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)

Question 4

Solving circumcenter on graph

Answer 4

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

Question 5

Solving centroid on graph

Answer 5

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

Question 6

Median

Answer 6

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

Question 7

Altitude

Answer 7

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

Question 8

Orthocenter

Answer 8

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

Question 9

how to find median & altitude

Answer 9

perpendicular bisectors