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### 37 Cards in this Set

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 Inductive Reasoning reasoning based on observed patterns Conjecture a conclusion reached by using inductive reasoning Counterexample a particular example of a statement that proves it false Space the set of all points Collinear Points points that lie on the same line Coplanar figures in the same plane Postulate (Axiom) an accepted statement of fact Opposite Rays collinear rays with the same endpoint Congruent Angles angles that have the same measure Adjacent Angles two coplanar angles that have a common side and a common vertex but no common interior points Vertical Angles two angles whose sides form two pairs of opposite rays Complementary Angles when two angles have measures that add up to 90 degrees Supplementary Angles when two angles have measures that add up to 180 degrees Perpendicular Lines lines that intersect to form right angles Angle Bisector a ray that divides an angle into two congruent angles Biconditional the combination of a conditional statement and its converse, contains the words if and only if Conclusion part of an if-then statement, the statement that follows the then Conditional an if-then statement Deductive Reasoning a process of reasoning logically from given facts to a conclusion Hypothesis part of an if-then statement, the statement that follows the if Law of Detachment if a conditional is true and its hypothesis is true, then its conclusion is true Law of Syllogism if p --> q and q --> r are true statements, the p --> r is a true statement Reflexive Property angle A is congruent to angle A Symmetric Property If angle A is congruent to angle B, then angle B is congruent to angle A Transitive Property If angle A is congruent to angle B, and angle B is congruent to angle C, then angle A is congruent to angle C Theorem a conjecture that is proven Transversal a line that intersects two coplanar lines in two points Postulate 3-1 Corresponding Angles Postulate if a tranversal intersects two parallel lines, then corresponding angles are congruent Theorem 3-1 Alternate Interior Angles Theorem if a tranveral intersects two parallel lines, then alternate interior angles are congruent Theorem 3-2 Same-Side Interior Angles Theorem ff a tranversal intersects two parallel lines, then same-side interior angles are supplementary Theorem 3-3 Alternate Exterior Angles Theorem if a tranversal intersects two prallel lines, then alternate exterior angles are congruent Theorem 3-4 Same-Side Exterior Angles Theorem if a tranversal intersects two prallel lines, then same-side exterior angles are supplementary Postulate 3-2 Converse of the Corresponding Angles Postulate if two lines and a transversal form corresponding angles that are congruent, then the two lines are parallel Theorem 3-5 Converse of the Alternate Interior Angles Theorem if two lines and a transversal form alternate interior angles that are congruent, then the two lines are parallel Theorem 3-6 Converse of the Same-Side Interior Angles Theorem if two lines and a transversal form same-side interior angles that are supplementary, then the two lines are parallel Theorem 3-7 Converse of the Alternate Exterior Angles Theorem if two lines and a transversal form alternate exterior angles that are congruent, then the two lines are parallel Theorem 3-8 Converse of the Same-Side Exterior Angles Theorem if two lines and a transversal form same-side exterior angles that are supplementary, then the two lines are parallel