theorem thursday 6

Question 1

perpendicular bisector theorem

Answer 1

in a plane, if a point lies on the perpendicular bisector of a segment, then it is equidistant from the points of the segment

Question 2

converse of the perpendicular bisector theorem

Answer 2

in a plane, if a point is equidistant from the endpoints of a segment, then it lies on the perpendicular bisector of the segment

Question 3

angle bisector theorem

Answer 3

if a point lies on the bisector of an angle, then it is equidistant from the 2 sides if the angle

Question 4

converse of the angle bisector theorem

Answer 4

if a point is in the interior of an angle and is equidistant from the 2 sides of the angle, then it lies on the bisector of the angle

Question 5

Circumcenter theorem

Answer 5

The circumcenter of a triangle is equidistant from the vertices of the triangle

Question 6

Incenter theorem

Answer 6

The incenter of a triangle is equidistant from the sides of the triangle

Question 7

Centroid theorem

Answer 7

The centroid of a triangle is two thirds the distance from each vertex to the midpoint of the opposite side