math ch6: triangles

triangle types:

equilateral triangles

isosceles triangles

scalene triangles

right triangles

acute triangles

obtuse triangles

base angles of an isosceles triangle are

equilateral triangles are also

the sum of angles in any triangle is

if an isosceles triangle has a 60 angle, then it is a

how is an exterior angle of a triangle formed

each exterior angle has

remote angle formula

triangle congruence theorems (list)

SSS

SAS

ASA

AAS

if two angles of one triangle are congruent to two angles of another triangle, then the third angles are congruent. this is the

if a point is on the perp bisector of a segment, then it is: (result and rule name)

if a point is on the bisector of an angle, then the point is (result and name)

special lines and line segments (list)

the point C in perp bisector

the point C in angle bisector

the point C in medians

the point C in altitudes

the medians of a triangle are congruent at a point that is two thirds the distance from each vertex to the midpoint of the opposite side. this is the ——-theorem

triangle exterior angle theorem

in a triangle, if two sides are not congruent, then the larger angle lies on:

the sum of the lengths of any two sides on the triangle is:

the difference of the lengths of any two sides of the triangle is:

SAS inequality theorem

if the corresponding angles and lengths are congruent, the triangle is called

triangle similarity theorem: (list)

AA

SAS

SSS

if the similarity ratio of two similar figures is a/b and the ratio of the perimeters is a/b, the area ratio is:

special segments in triangles theorems:

side splitter theorem

tirangle angle bisector theorem

triangle mid segment theorem