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48 Cards in this Set
- Front
- Back
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Conjecture?
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an unproven statement that is based on observations
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Inductive reasoning?
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process that involves looking for paterns adn making conjectures
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Counterexample?
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an example that shows a conjecture is false
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Point?
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has no dimension
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Line?
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extends in one dimension
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Plane?
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extends in two dimensions
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Collinear points?
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points that lie on the same plane
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Coplaner points?
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points that lie on the same plane
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Angle?
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two different rays that have the same intital point
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Acute angle?
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has a measure greater than 0 less than 90
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Right angle?
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measure of 90
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Obtuse angle?
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measure greater that 90 less than 180
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Straight angle?
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measure = to 180
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Adjacent angles?
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two angles that share a common vertex and side
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Segment bisector?
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segment,ray,line, or plane that intersects a segment at its midpoint
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Angle bisector?
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a ray that divides an angle into two adjacent angles that are congruent
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Vertical angles?
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two angles that their sides form two pairs of opposite rays
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Linear pair?
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two adjacent angles that their noncommon sides are opposite rays
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Complementary angles?
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two angles have a sum of 90
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Supplememtary angles?
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two angles have a sum of 180
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Conditional Statement?
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has two parts - a hypothesis and conclusion
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If-then?
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if part is hypothesis, than part is conclusion
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Converse?
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b~a
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Inverse?
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-a~-b
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Contrapositive?
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-b~-a
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Biconditional?
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if and only if
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Angle bisector?
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a ray that divides an angle into two adjacent angles that are congruent
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Vertical angles?
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two angles that their sides form two pairs of opposite rays
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Linear pair?
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two adjacent angles that their noncommon sides are opposite rays
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Complementary angles?
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two angles have a sum of 90
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Supplememtary angles?
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two angles have a sum of 180
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Conditional Statement?
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has two parts - a hypothesis and conclusion
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If-then?
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if part is hypothesis, than part is conclusion
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Converse?
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b~a
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Inverse?
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-a~-b
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Contrapositive?
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-b~-a
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Biconditional?
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if and only if
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Law of Detachment?
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If p~q is a true conditional statement and p is true, then q is true .
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Law of Syllogism?
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If p~q and q~r are true conditional statements, the p~r is true
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Center of Altitudes?
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Orthocenter
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Center of Medians?
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Centroid
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Center of Angle bisectors?
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incenter
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center of perp. bisecters?
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circumecenter
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Triangle inequality theorem?
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The sum pf the lengths of any two sides of a triangle is greater than the length of the third side.
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Midsegment Theorem?
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the segment connecting the midpoints of two sides of a triangle is parallel tot eh 3rd side and is half as long.
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Isometry?
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transformation that perserves lengths
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line of symmerty?
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the figure can be mapped onto itself by a reflection of a line
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glide reflections/
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transformation in which every point p i smapped onto a point p"
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