Polygons and Concurrency Theorems

Question 1

triangle sum theorem

Answer 1

if angles A, B, and C are all interior angles of a triangle, then the sum of them is 180 degrees

Question 2

triangle angle theorem

Answer 2

if two angles are congruent to 2 angles of another triangle are congruent then the 3rd angles must also be congruent

Question 3

triangle exterior angle theorem

Answer 3

the sum of the 2 remote interior angles of a triangle is equal to the exterior angle

Question 4

polygon angle-sum theorem

Answer 4

the sum of the interior angles of a polygon = (n-2)*180
n=number of sides

Question 5

polygon exterior angle sum theorem

Answer 5

the sum of the exterior angles of a polygon is 360 degrees

Question 6

Perpendicular bisector theorem

Answer 6

if a point is on the perpendicular bisector of a segment, then it is equidistant to the endpoints

Question 7

converse of Perpendicular bisector theorem

Answer 7

if a point is equidistance from endpoints, then it is on the perpendicular bisector

Question 8

angle bisector theorem

Answer 8

if a point is on the angle bisector then it is equidistance from the sides of the triangle

Question 9

Angle Bisector Theorem converse

Answer 9

if a point is equidistant from 2 sides of a triangle than it is on the angle bisector of the triangle