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Chapter 3
Perpendicular and Parallel Lines
16
Mathematics
10th Grade
10/24/2006

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Term
Parallel Postulate
Definition
If there is a line and a point not on the line, then there is exacltly one line through the point parallel to the given line.
Term
Perpendicular Postulate
Definition
If there is a line and a point not on the line, then there is exactly one line throught the point perpendicular to the given line.
Term
If two lines intersect to form a linear pair of congruent angles,
Definition
then the lines are perpendicular
Term
If two sides of two adjacent acute angles are perpendicular,
Definition
then the angles are complementary.
Term
If two lines are perpendicular,
Definition
then they intersect to form four right angles.
Term
Corresponding Angles Postulate
Definition
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
Term
Alternate Interior Angles Theorem
Definition
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
Term
Consecutive Interior Angles
Definition
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
Term
Alternate Exterior Angles
Definition
If two parallel lines are cut by a transeversal, then the pairs of alternate exterior angles are congruent.
Term
Perpendicular Transversal
Definition
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Term
Corresponding Angles Converse Postulate
Definition
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
Term
Alternate Interior Angles Converse
Definition
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.
Term
Consecutive Interior Angles Converse
Definition
If two lines are cut by a transversal so that consecutive interior angles are supplementary, then the lines are parallel.
Term
Alternate Exterior Angles Converse
Definition
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.
Term
If two lines are parallel to the same line,
Definition
then they are parallel to each other.
Term
In a plane, if two lines are perpendicular to the same line,
Definition
then they are parallel to each other.
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