# Shared Flashcard Set

## Details

Postulates
Postulate 3-1
30
Mathematics
10/17/2010

Term
 3-1 Corresponding Angles Postulate
Definition
 If a transversal intersects 2 parallel lines, then corresponding angles are congruent
Term
 Theorem 3-1 Alternate Interior Angles
Definition
 If a transversal intersects 2 parallel lines, then alternate interior angles are congruent
Term
 Theorem 3-2 Same-side Interior Angles
Definition
 If a transversal intersects 2 parallel lines, then same side interior angles are supplementary m<1 + m<2 = 180
Term
 Transversal Line
Definition
 is a line that intersects 2 lines a differnt planes (coplaner) at 2 points.
Term
 Postulates
Definition
 statements that are assumed to be true without proof. Postulates serve two purposes - to explain undefined terms, and to serve as a starting point for proving other statements.
Term
 Theorums
Definition
 are statements that can be deduced and proved from definitions, postulates, and previously proved theorums.
Term
 Corresponding angles
Definition
 any pair of angles in similar locations with respect to a transversal
Term
 Vertical Angle
Definition
 the angle formed by the equilateral (equal in length) sides of an isoscoles triangle
Term
 Isosceles triangle
Definition
 a triangle with two sides of equal length
Term
 3-3 Alternate Exterior Theorem
Definition
 If a transversal intersects 2 parallel lines, then alternate exterior angles are congruent
Term
 3-4 Same Side Exterior Angles
Definition
 If a transversal intersects 2 parallel lines, the same-side exterior angles are supplementarym<2 + m<3 = 180
Term
 Postulate 3-2- Converse of Corresponding Angles Postulate
Definition
 if two lines and a transversal line form corresponding angles which are congruent, then the two lines are parralle
Term
 Theoreom 3-5 Converse of Alternate Interior Angles Theorem
Definition
 if two lines and a transversal line form alternate interior angles which are congruent, then the two lines are parralle
Term
 Theoreom 3-6 Converse of Same Side Interior Angles Theorem
Definition
 if two lines and a transversal line form same-side interior angles which are congruent, then the two lines are parralle
Term
 Flow Proof
Definition
 Arrrows show the logical connections between the statements. The reasons are written below the statements
Term
 Theoreom 3-7 Converse of Alternate Exterior Angles Theorem
Definition
 if two lines and a transversal line form alternate exterior angles which are congruent, then the two lines are parralle
Term
 Theoreom 3-8 Converse of Same Side Exterior Angles Theorem
Definition
 if two lines and a transversal line form same-side exterior angles which are congruent, then the two lines are parralle
Term
 Theorem 3-9
Definition
 If 2 lines are parrallel to the same line, then they are parallel to each other
Term
 Theorem 3-10
Definition
 In a plane, if two lines are perpendicular to the same line, then they are parrallel
Term
 Theorem 3-11
Definition
 If a line is perpendicular to one of two parrallel lines, then it is also perpendicular to the other line
Term
 Theorem 3-12 Triangle Angle-Sum Theorem
Definition
 The sum of the measures of the angles of a triangle is 180
Term
 Theorem 3-13 Triangle Exterior Angle Theorem
Definition
 The measure of each exterior angle of a triangle equals the sume of the measures of its two remote interior angles
Term
 Ploygon
Definition
 is a closed plan figure with at least 3 sides that are segements
Term
 Convex Polygon
Definition
 has no diagonal with points outside the polygon
Term
 Concave Polygan
Definition
 Has at least one diagonal with points outside the polygan
Term
 Theorem 3-14 Polygon Angel-Sum Theorem
Definition
 The sum of the measures of the angles of an n-gon is (n-2)180.
Term
 Theorem 3-15 Polygon Exterior Angle-Sum Theorem
Definition
 The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360.
Term
 Equilateral Polygon
Definition
 all side congruent
Term
 Equiangular Polygon
Definition
 has all angles congruent
Term
 Regular Polygon
Definition
 both equilateral and equianglar
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