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### linear pair conjecture

If two angles form a linear pair , then their angles always equal 180 degrees

### vertical angles conjecture

If two angles are vertical angles , then they are congruent

### corresponding angles conjecture

If two parallel lines are cut by a transversal, then corresponding angles are congruent

### alternate interior angles conjecture

If two parallel lines afre cut by a transversal, than alternate exterior angles are supplementary

### parallel lines conjecture

If two parallel lines are cut by a transversal, then corresponding angles are always equal to 180 degrees; alternate interior angles are complementary, and alternate exterior angles are supplementary

### converse of the parallel lines conjecture

If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles then the lies are congruent

### perpendicular bisector conjecture

If a point is on the perpendicular bisector of a segment , then it is equidistant from the endpoints

### converse of the perpendicular bisector conjecture

If a point is equidistant from the endpoints of a segment , then it is on the bisector of the segment

### shortest distance conjecture

the shortest distance from a point to a line is measures along the straight from the point to the line

### angle bisector conjecture

If a point is on the bisector of an angle , then it is equidistant from the sides of the angles

### SSS conjecture

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

### SAS conjecture

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

### ASA conjecture

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

### SAA conjecture

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

Example: