I hate math

SHe did not teach us this stuff

Side Side Side

Three pairs of congruent sides

Side angle side

Two sides and an included angle are congruent(Included means it is between the two)

Angle side Angle

Two sides and an included side are congruent(Included means it is between the two)

Angle Angle Side

Two angles on the same line and a side opposite of them(Opposite means it lies on a line where only one is there)

Hypotenuse Leg

The hypotenuse and a leg of a right triangle are congruent.

Reasons for congruent sides

Its given, definition of midpoint, reflexive property

Reasons for congruent angles

Its given, vertical angles, alternate interior angles(Must have parallel lines), corresponding angles(must have parallel lines), definition of angle bisector

Isoceles

Two angles are congruent

Scalene

Nothing is equal

Acute triangle

All angles are less than 90 degrees

obtuse triangle

one angle is more than 90 degrees while the rest are acute

Equilangular equilateral triangle

All sides are congruent and all angles are congruent

Equilangular

All angles are congruent

Equilateral

All sides are congruent

acute scalene

All acute angles and all sides are different.

acute isoceles

Acute angles but two are congruent. Two sides are also congruent

acute equilateral

also known as equilateral equilangular, all sides are the same and all angles are the same.

obtuse scalene

All angles are different but one of them is more than 90 degrees. All sides are different

obtuse isoceles

Two angles are congruent while one angle is more than 90 degrees. Two sides are the same

Obtuse equilateral

NOT POSSIBLE

Right isoceles triangle

One angle is 90 degrees while the rest are both 45 degrees. Two sides are the same.

Right scalene triangle

One angle is 90 degrees and the rest are different. All sides are different.