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48 Cards in this Set

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  • 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
If-then?
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
If-then?
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"