# Shared Flashcard Set

## Details

Honors Geometry Chapter 3 Quiz A
Vocabulary, Postulates, and Theorems
33
Mathematics
10/07/2010

Term
 Corresponding Angles (Postulate)
Definition
 If two parallel lines are cut by a transversal, then corresponding angles are congruent.
Term
 Alternate Interior Angles (Theorem)
Definition
 If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
Term
 Same-side Interior Angles (Theorem)
Definition
 If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
Term
 Alternate Exterior Angles (Theorem)
Definition
 If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Term
 Same-side Exterior Angles (Theorem)
Definition
 If two parallel lines are cut by a transversal, then same-side exterior angles are supplementary.
Term
 Definition of parallel lines
Definition
 coplanar lines that do not intersect
Term
 Name two kinds of lines that don't intersect
Definition
 Parallel and skew lines
Term
 Definition of skew lines
Definition
 noncoplanar lines All noncoplanar lines are neither parallel nor intersecting.
Term
 Definition of parallel planes
Definition
 Planes that don't intersect.
Term
 If a line and a plane do not intersect, then ___
Definition
 they are parallel.
Term
 Two parallel planes cut by a third plane (Theorem)
Definition
 If two parallel planes are cut by a third plane, then the lines of intersection are parallel.
Term
 Definition of a transversal
Definition
 a line that intersects two or more coplanar lines in different points
Term
 Definition of alternate interior angles
Definition
 Two nonadjacent interior angles on opposite sides of the transversal
Term
 Definition of same-side interior angles
Definition
 Two interior angles on the same side of the transversal.
Term
 Definition of corresponding angles
Definition
 Two angles in corresponding positions relative to the two lines
Term
 Definition of alternate exterior angles
Definition
 Two exterior angles on opposite sides of the transversal
Term
 Definition of same-side exterior angles
Definition
 Two exterior angles on the same side of the transversal
Term
 Abbreviation of "If two parallel lines are cut by a transversal, then corresponding angles are congruent."
Definition
 Parallel lines -> Corresponding Angles are congruent.
Term
 Abbreviation of "If two parallel lines are cut by a transversal, then alternate interior angles are congruent."
Definition
 Parallel lines -> alt. int. angles are congruent.
Term
 Transversal perpendicular to one of two lines (Theorem)
Definition
 If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second line.
Term
 Abbreviation of "If two parallel lines are cut by a transversal, then same-side interior angles are supplementary."
Definition
 parallel lines -> same-side interior angles are supp.
Term
 Abbreviation of "If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
Definition
 Parallel lines -> alt. ext. angles are congruent
Term
 Abbreviation of "If two parallel lines are cut by a transversal, then same-side exterior angles are supplementary."
Definition
 Parallel lines -> Same-side ext. angles are supp.
Term
 Corresponding angles (Proving lines are parallel; Theorem and Abbreviation)
Definition
 If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.  Corresponding angles are congruent -> parallel lines
Term
 Alternate interior angles (Proving lines are parallel; Theorem and Abbreviation)
Definition
 If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel. Alt. int. angles are congruent -> parallel lines
Term
 Same-side interior angles (Proving lines are parallel; Theorem and Abbreviation)
Definition
 if two lines are cut by a transversal so that same-side interior angles are supplementary, then the lines are parallel. Same-side int. angles are supp. -> parallel lines
Term
 Alternate exterior angles (Proving lines are parallel; Theorem and Abbreviation)
Definition
 If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel. Alt. ext. angles are congruent -> parallel lines
Term
 Same-side exterior angles (Proving lines are parallel; Theorem and Abbreviation)
Definition
 If two lines are cut by a transversal so that same-side exterior angles are supplementary, then the lines are parallel. Same-side angles are congruent -> Parallel lines
Term
 Perpendicular line (Property of Parallel Lines)
Definition
 If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the second line also.
Term
 Perpendicular Lines Theorem (Proving Lines are Parallel)
Definition
 In a plane, two lines perpendicular to the same line are parallel
Term
 "Exactly 1 Line perpendicular to a given line" Theorem
Definition
 Through a point outside a line, there is exactly one line perpendicular to the given line
Term
 "Exactly one line parallel to the given line" Theorem
Definition
 Through a point outside a line, there is exactly one line parallel to the given line.
Term
 Exactly 1
Definition
 1 and only 1
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