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Semester 1 Review

Review of Chapters 1-5

Postulate/TheoremDefinition
Segment Addition Postulate If B is between A and C, then AB+BC=AC
Through any two points there exists exactly one line.
If two lines intersect, then their intersection is exactly one point.
If two lines intersect, then their intersection is exactly one point.
Through any three non-collinear points there exists exactly one plane.
A plane contains at least three non-collinear points.
If two points lie in a plane, then the line containing them lies in the plane.
If two planes intersect, then their intersection is a line.
Right Angles Congruence Theorem All right angles are congruent.
Linear Pair Postulate If two angles form a right angle, then they are supplementary.
Vertical Angles Congruence Theorem Vertical angles are congruent.
Corresponding Angles Postulate If two parallel angles are cut by a transversal, then the pairs of corresponding angles are congruent.
Alternate Interior Angles Theorem If two parallel angles are cut by a transversal, then the pairs of alternate interior angles are congruent.
Alternate Exterior Angles Theorem If two parallel angles are cut by a transversal, then the pairs of alternate exterior angles are congruent.
Consecutive Interior Angles Theorem If two parallel angles are cut by a transversal, then the pairs of then the pairs of consecutive interior angles are supplementary.
Corresponding Angles Converse If two parallel angles are cut by a transversal so the corresponding angles are congruent, then the lines are parallel
Alternate Interior Angles Converse If two parallel angles are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel
Alternate Exterior Angles Converse If two parallel angles are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel
Consecutive Interior Angles Converse If two parallel angles are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel
Transitive Property of Parallel Lines If two lines are parallel to the same line, then they are parallel to each other.
If a slope has a zero in the denominator, then the slope is.. undefined.
Slopes of Parallel Lines In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
Slopes of Perpendicular Lines Parallel lines have opposite reciprocals of slopes.
Theorum 3.8 If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
Created by: jamie_geometry9