All pairs of sides and angles have to be congruent and in the same order.
Back
Isosceles Triangle Theorem
Front
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Back
Hypotenuse
Front
The longest side of a right triangle (The side opposite the right angle)
Back
Legs of an isosceles triangle
Front
The two congruent sides of an isosceles triangle
Back
Converse of the Isosceles Triangle Theorem
Front
If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
Back
Reflexive Property
Front
An angle or a side is congruent to itself.
Back
Right Triangle
Front
A triangle with exactly one right angle.
Back
Legs of a right triangle
Front
The shortest two sides of a right triangle (The sides adjacent to the right angle)
Back
Theorem 4-2 (Isosceles triangle/angle bisector)
Front
If a line or line segment bisects the non-base angle of an isosceles triangle, then it is also the perpendicular bisector of the opposite side.
Back
SSS
Front
If three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.
Back
Equilateral Triangle
Front
A triangle that has all sides and all angles equal. (All angles are 60 degrees)
Back
Isosceles Triangle
Front
A triangle that has at least two congruent sides.
Back
Base angles of an isosceles triangle
Front
The two congruent angles of an isosceles triangle.
Back
HL
Front
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and the leg of another right triangle, then the triangles are congruent.
Back
CPCTC
Front
If two triangles are congruent, then each pair of corresponding sides is congruent and each pair of corresponding angles is congruent.
Back
ASA
Front
If two angles of one triangle and the included side are congruent to two angles and the included side of another triangle, then the two triangles are congruent.
Back
AAS or SAA
Front
If two angles and a nonincluded side of one triangle are congruent to two angles and a nonincluded side of another triangle, then the two triangles are congruent.
Back
SAS
Front
If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.