Uni 3 Conjectures

Question 1

Perpendicular bisector conjecture

Answer 1

If the point is on the perpendicular bisector then it is equidistant from the endpoints

C-5

Question 2

Converse of a perpendicular bisector

Answer 2

If a point is equidistant from the endpoint then it is on the perpendicular bisector

C-6

Question 3

Shortest distance conjecture

Answer 3

The shortest distance from a point to a line is measured along the perpendicular segment from the point to a line

C-7

Question 4

Angle bisector congector

Answer 4

If a point is on the bisector of an angle the then it is equidistant from the sides of an angle

C-8

Question 5

Angle bisector concurrency

Answer 5

The three angle bisectors of a triangle are concurrent

C-9

Question 6

Perpendicular bisector concurrency conjecture

Answer 6

The three bisectors of a triangle are concurrent

C-10

Question 7

Altitude concurrency conjecture

Answer 7

The three altitudes are concurrent

C-11

Question 8

Circumcenter conjecture

Answer 8

The circumcenter of a triangle is equidistant from the vertices

C-12

Question 9

Incenter conjecture

Answer 9

Equidistant from the sides

C-13

Question 10

Median concurrency conjecture

Answer 10

The three medians of a triangle are concurrent

C-14

Question 11

Centroid conjecture

Answer 11

The centroid of a triangle divides the median of a triangle in two parts so the distance from the centroid to the he vertex is twice the distance from the centroid to the midsegment

C-15

Question 12

Center of gravity conjecture

Answer 12

The centroid is the center of gravity for a triangle

C-16

Question 13

Orthocenter conjecture

Answer 13

The point of concurrency for the three altitudes

C-17