concepts of basic geometry

### corresponding angles postulate

if // lines are crossed by a transversal, corresponding angles are congruent

### alternate interior angles theorem

if // lines are crossed by a transversal, alternate interior angles are congruent

### same side interior angle theorem

if // lines are crossed bya transversal, same side interior angles are supplementary

### converse of Isosceles triangle theorem

If 2 angles in a triangle are congruent, then the sides opposite those angles are also congruent

### perpendicular bisector

line, segment or ray that intersects a segment at its midpoint at a 90 degree angle

### HL theorem

If the hypotenuse and one of the legs of a right triangle are congruent to the hypotenuse and one of the legs of another right triangle, then the triangles are congruent

### SSS

If 3 sides of one triangle are congruent to 3 sides of another, then the triangles are congruent

### SAS

If two sides and the INCLUDED angle of one triangle are congruent to two sides and the INCLUDED angle of another, then the triangles are congruent

### ASA

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent

### AAS

If any two angles and one side of a triangle are congruent to two angles and a side of another triangle, then the triangles are congruent