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H. geometry chapter 6 vocab
n/a
16
Mathematics
10th Grade
12/13/2010

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Term
ExteriorAngle Ineqaulity Theorem (6.1)
Definition
The measure of an exterior angle of a triangle is greater than the measure of either remote interior angle
Term
Theorem 6.2
Definition
If one side of a triangle is longer than a second side, then the angle opposite the first side is larger than the angle opposite the second side
Term
Theorem 6.3
Definition
If one angle of a triangle is alrger than a second angle, then the side opposite the first angle is longer than the side opposite the second angle
Term
Corollary 1
Definition
The perpendicular segment form a point to a line is the shortest segment from the point to the line
Term
Corollary 2
Definition
The perpendicular segment from a point to a plane is the shortest segment from the point to the plane
Term
The Triangle Inequality Theorem (6.4)
Definition
The sum of the length of any two sides of a triangle is greater than the length of the third side
Term
SAS Inequality Theorem (6.5)
Definition
If two sides of one triangle are congruent to two sides of another triangle but the included angle of the first triangle is larger than the included angle of the second then the third side of the first triangle is longer than the third side of the second triangle
Term
SSS Inequality Teorem (6.6)
Definition
If two sides of one triangle are congruent to two sides of antoher triangle, but the third side of the first triangle is larger than the included angle of the second triangle
Term
Conditional if-then statement
Definition
If p, then q
Term
Inverse if-then statement
Definition
If not p, then not q.
Term
Converse if-then statement
Definition
If q, then p.
Term
Contrapositive if-then statements
Definition
If not q, then not p.
Term
Logically Equivalent Statements
Definition
Statements that are either both true or both false
Term
Example of logically equivalent statements
Definition

A statement and its contrapostivie are logically equivalent.

A statement's converse and inverse are logically equivalent.

A statement and its converse or inverse are not logically equivalent.

Term
Indirect Proof
Definition
To write an indirect proof, assume temporarily that the conclusion is not true. Reason logically until you contradict a known fact. Then, note the temporary assumption is false, so the conclusion must be true.
Term
Addition property of inequality
Definition
if a>b and c> or less than d then a+c> b+d
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