If a triangle is equiangular, then it is equilateral.
Back
congruence statement
Front
A statement that indicates that two polygons are congruent by listing the vertices in the order of correspondence.
Back
corollary
Front
A statement that follows immediately from a theorem
Back
theorem 4.1
Front
if two angles are congruent to two angles of another triangle, then you can assume the third ones are too
Back
AAS postulate
Front
If two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another, they are congruent
Back
4.5 theorem
Front
the angle bisector of the vertex angle of an isosceles triangle is the perpendicular bisector of the base
Back
CPCTC
Front
corresponding parts of congruent triangles are congruent
Back
parts of right triangle
Front
Legs and hypotenuse
Back
the corresponding parts of congruent triangles
Front
Sides or angles that have the same relative positions in congruent triangles.
Back
corollary to ITT
Front
If a triangle is equilateral, then it is equiangular
Back
Parts of an Isosceles Triangle
Front
-the two congruent sides are called legs
-the angle where the sides intersect is called the vertex angle
-the side opposite the vertex angle is called the base
-the angles along the base are called base angles
Back
SSS postulate
Front
If three sides of one triangle are congruent to three sides of another triangle, they are congruent
Back
converse of ITT
Front
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Back
included angle
Front
the angle formed by two adjacent sides of a polygon
Back
SAS postulate
Front
if two sides and an angle in between are all congruent on both triangles, they are congruent
Back
congruent/corresponding polygons
Front
polygons that are the same shape and size. Congruent polygons have corresponding angles and corresponding sides congruent
Back
HL
Front
if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, they are congruent
Back
ASA postulate
Front
If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, they are congruent.
Back
ITT
Front
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.