Midyear Exams - Conjectures

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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

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