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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 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