Study Geometry Midterm Chapter II-V Vocab Flash Cards

 
Pile Management Card
Geometry Midterm Chapter II-V Vocab

loading
angle bisector
segment that bisects an angle of the triangle and has one endpoint at a vertex and the other endpoint at another point on the triangle
altitude
one endpoint at a vertex and the other line opposite the vertex
vertex angle
angle formed by two congruent sides (legs)
legs
in a right triangle, the sides opposite the acute angles
in an iso, the congruent sides
hypotenuse
in a right triangle, the side opposite the right angle
included side
the side of a triangle that forms a side of two given angles
included angle
in a triangle, the angle formed by two sides is the included angle for these two sides
congruence transformation
when a geometric figure and its transformation image are congruent, the mapping is called congruence transformation or isometry
base angles
angle formed by the base and one leg
base
In an iso triangle, the side opposite the vertex angle is called the base
auxiliary line
a line or line segment added to a given figure to help in proving a result
acute triangle
all three angles are acute
transversal
a line that intersects two or more lines in a plane at different points
two-column proof
A formal proof in which statements are listed in one column and the reasons for the statements are listed in a second column
proof
A logical argument showing that the truth of a hypothesis guarantees the truth of the conclusion
negation
the denial of a statement
Law of Syllogism
If p -> q and q -> r are true conditionals, then p -> r is also true
Law of Detachment
If p -> q is a true conditional statement and p is true, then q is true
inverse
The denial of a statement
~P => ~Q
inductive reasoning
Reasoning that uses a number of specific examples to arrive at a plausible generalization or prediction. Conclusions arrived at by indirect reasoning lack the logical certainty of those arrived at by deductive reasoning
-patterns-
if-then statement
A compound statement of the form "If A, then B", where A and B are statements
hypothesis
In a conditional statement, the statement that immediately follows the word 'if'
deductive reasoning
a system of reasoning used to reach conclusions that must be true whenever the assumptions on which the reasoning is based are true
-direct-
counterexample
an example used to show that a given general statement is not always true
converse
The statement formed by interchanging the hypothesis and conclusion of a conditional statement
Q => P
contrapositive
The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement
~P => ~Q
conjecture
An educated guess
conditional statement
A statement of the form "If A, then B." The part following 'if' is called the hypothesis. The part following the 'then' is called the conclusion
P => Q
conclusion
In a conditional statement, the statement that immediately follows the word 'then'
Place this card into pile: