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37 Cards in this Set
 Front
 Back
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 ifthen statement, the statement that follows the then


Conditional

an ifthen statement


Deductive Reasoning

a process of reasoning logically from given facts to a conclusion


Hypothesis

part of an ifthen 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 31 Corresponding Angles Postulate

if a tranversal intersects two parallel lines, then corresponding angles are congruent


Theorem 31 Alternate Interior Angles Theorem

if a tranveral intersects two parallel lines, then alternate interior angles are congruent


Theorem 32 SameSide Interior Angles Theorem

ff a tranversal intersects two parallel lines, then sameside interior angles are supplementary


Theorem 33 Alternate Exterior Angles Theorem

if a tranversal intersects two prallel lines, then alternate exterior angles are congruent


Theorem 34 SameSide Exterior Angles Theorem

if a tranversal intersects two prallel lines, then sameside exterior angles are supplementary


Postulate 32 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 35 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 36 Converse of the SameSide Interior Angles Theorem

if two lines and a transversal form sameside interior angles that are supplementary, then the two lines are parallel


Theorem 37 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 38 Converse of the SameSide Exterior Angles Theorem

if two lines and a transversal form sameside exterior angles that are supplementary, then the two lines are parallel
