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48 Cards in this Set
 Front
 Back
Conjecture?

an unproven statement that is based on observations


Inductive reasoning?

process that involves looking for paterns adn making conjectures


Counterexample?

an example that shows a conjecture is false


Point?

has no dimension


Line?

extends in one dimension


Plane?

extends in two dimensions


Collinear points?

points that lie on the same plane


Coplaner points?

points that lie on the same plane


Angle?

two different rays that have the same intital point


Acute angle?

has a measure greater than 0 less than 90


Right angle?

measure of 90


Obtuse angle?

measure greater that 90 less than 180


Straight angle?

measure = to 180


Adjacent angles?

two angles that share a common vertex and side


Segment bisector?

segment,ray,line, or plane that intersects a segment at its midpoint


Angle bisector?

a ray that divides an angle into two adjacent angles that are congruent


Vertical angles?

two angles that their sides form two pairs of opposite rays


Linear pair?

two adjacent angles that their noncommon sides are opposite rays


Complementary angles?

two angles have a sum of 90


Supplememtary angles?

two angles have a sum of 180


Conditional Statement?

has two parts  a hypothesis and conclusion


Ifthen?

if part is hypothesis, than part is conclusion


Converse?

b~a


Inverse?

a~b


Contrapositive?

b~a


Biconditional?

if and only if


Angle bisector?

a ray that divides an angle into two adjacent angles that are congruent


Vertical angles?

two angles that their sides form two pairs of opposite rays


Linear pair?

two adjacent angles that their noncommon sides are opposite rays


Complementary angles?

two angles have a sum of 90


Supplememtary angles?

two angles have a sum of 180


Conditional Statement?

has two parts  a hypothesis and conclusion


Ifthen?

if part is hypothesis, than part is conclusion


Converse?

b~a


Inverse?

a~b


Contrapositive?

b~a


Biconditional?

if and only if


Law of Detachment?

If p~q is a true conditional statement and p is true, then q is true .


Law of Syllogism?

If p~q and q~r are true conditional statements, the p~r is true


Center of Altitudes?

Orthocenter


Center of Medians?

Centroid


Center of Angle bisectors?

incenter


center of perp. bisecters?

circumecenter


Triangle inequality theorem?

The sum pf the lengths of any two sides of a triangle is greater than the length of the third side.


Midsegment Theorem?

the segment connecting the midpoints of two sides of a triangle is parallel tot eh 3rd side and is half as long.


Isometry?

transformation that perserves lengths


line of symmerty?

the figure can be mapped onto itself by a reflection of a line


glide reflections/

transformation in which every point p i smapped onto a point p"
