congruent triangles

all pairs of corresponding parts are congruent

congruent polygons

all pairs of corresponding parts are congruent

Reflexive Property of Congruence

an angle or segment is congruent to itself

SSS

if there exists a correspondence between two triangles such that three sides of one are congruent to the other, then the triangles are congruent

SAS

if there exists a correspondence between two triangles such that two sides and an included angle of one are congruent to the other, then the triangles are congruent

ASA

if there exists a correspondence between two triangles such that two angles and an included side of one are congruent to the other, then the triangles are congruent

CPCTC

Corresponding parts of congruent triangles are congruent

radius

line segment with endpoints on the circle and the center of the circle

median

line segment drawn from a vertex of a triangle to the midpoint of the opposite side

altittude

line segment drawn from a vertex of a triangle perpendicular to the opposite side

determine a line

two points ....

auxiliary line

two points determine a line

scalene triangle

a triangle where no sides are congruent

isosceles triangle

a triangle with at least two congruent sides

equilateral triangle

a triangle with all sides congruent

equiangular triangle

a triangle with all angles congruent

acute triangle

a triangle where all three angles are acute

right triangle

a triangle with one right angle

obtuse triangle

a triangle with one obtuse angle

hypotenuse

the longest side in a right triangle

hypotenuse

the side opposite the right angle in a right triangle

legs

the sides that form a right angle in a right triangle

the angles opposite them are congruent

if two sides in a triangle are congruent, then ...

the sides opposite them are congruent

if two angles in a triangle are congruent, then ....

H-L

if there exists a correspondence between two right triangles such that the hypotenuse and one leg are congruent to the other, then the triangles are congruent

the angles opposite them are not congruent

if two sides of a triangle are not congruent ....

the sides opposite them are not congruent

if two angles of a triangle are not congruent ...

the longer side

the larger angle in a triangle is opposite ...

the larger angle

the longer side in a triangle is opposite ...