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| 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 |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| altitude |
one endpoint at a vertex and the other line opposite the vertex |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| vertex angle |
angle formed by two congruent sides (legs) |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| legs |
in a right triangle, the sides opposite the acute angles
in an iso, the congruent sides |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| hypotenuse |
in a right triangle, the side opposite the right angle |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| included side |
the side of a triangle that forms a side of two given angles |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| included angle |
in a triangle, the angle formed by two sides is the included angle for these two sides |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| congruence transformation |
when a geometric figure and its transformation image are congruent, the mapping is called congruence transformation or isometry |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| base angles |
angle formed by the base and one leg |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| base |
In an iso triangle, the side opposite the vertex angle is called the base |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| auxiliary line |
a line or line segment added to a given figure to help in proving a result |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| acute triangle |
all three angles are acute |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| transversal |
a line that intersects two or more lines in a plane at different points |
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leafpool888 Fri, 23 Jan 2009 03:37:15 GMT |
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| 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 |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| proof |
A logical argument showing that the truth of a hypothesis guarantees the truth of the conclusion |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| negation |
the denial of a statement |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| Law of Syllogism |
If p -> q and q -> r are true conditionals, then p -> r is also true |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| Law of Detachment |
If p -> q is a true conditional statement and p is true, then q is true |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| inverse |
The denial of a statement
~P => ~Q |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| 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- |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| if-then statement |
A compound statement of the form "If A, then B", where A and B are statements |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| hypothesis |
In a conditional statement, the statement that immediately follows the word 'if' |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| 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- |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| counterexample |
an example used to show that a given general statement is not always true |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| converse |
The statement formed by interchanging the hypothesis and conclusion of a conditional statement
Q => P |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| contrapositive |
The statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement
~P => ~Q |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| conjecture |
An educated guess |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| 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 |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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| conclusion |
In a conditional statement, the statement that immediately follows the word 'then' |
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leafpool888 Fri, 23 Jan 2009 03:13:05 GMT |
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