Define Parallel Lines Coplanar lines that do not

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Define Parallel Lines Coplanar lines that do not intersect.

Define Parallel Lines Coplanar lines that do not intersect.

Define Skew Lines that do not intersect and are not coplanar.

Define Skew Lines that do not intersect and are not coplanar.

What angles are marked? Corresponding Angles

What angles are marked? Corresponding Angles

What angles are marked? Alternate Interior Angles

What angles are marked? Alternate Interior Angles

What angles are marked? Consecutive Interior Angles

What angles are marked? Consecutive Interior Angles

What angles are marked? Alternate Exterior Angles

What angles are marked? Alternate Exterior Angles

What is the Parallel Postulate? If there is a line and a point not

What is the Parallel Postulate? If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.

What is the Perpendicular Postulate? If there is a line and a point not

What is the Perpendicular Postulate? If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.

Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the

Corresponding Angles Postulate If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.

Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then

Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then

Alternate Exterior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then

Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.

Corresponding Angles Converse If two lines are cut by a transversal so that the

Corresponding Angles Converse If two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel.

Alternate Interior Angles Converse If two lines are cut by a transversal so the

Alternate Interior Angles Converse If two lines are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel.

Alternate Exterior Angles Converse If two lines are cut by a transversal so the

Alternate Exterior Angles Converse If two lines are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel.

Consecutive Interior Angles Converse If two lines are cut by a transversal so the

Consecutive Interior Angles Converse If two lines are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel.

Transitive Property of Parallel Lines If two lines are parallel to the same line,

Transitive Property of Parallel Lines If two lines are parallel to the same line, then they are parallel to each other.

What is the slope equation?

What is the slope equation?

Slopes of parallel lines In a coordinate plane, two nonvertical lines are parallel if

Slopes of parallel lines In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope.

Slopes of perpendicular lines In a coordinate plane, two nonvertical lines are perpendicular if

Slopes of perpendicular lines In a coordinate plane, two nonvertical lines are perpendicular if and only if, the product of their slopes is – 1.

Slope-intercept form y = mx + b

Slope-intercept form y = mx + b

Standard Form Ax + By = C A, B, and C are integers A>0

Standard Form Ax + By = C A, B, and C are integers A>0

Different slopes Line that is rising from left to right Slope is positive Horizontal

Different slopes Line that is rising from left to right Slope is positive Horizontal line Slope is zero Vertical Line Slope is undefined Line that is falling from left to right Slope is negative

If two lines intersect to form a linear pair of congruent angles, then the

If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

If two lines are perpendicular, then they intersect to form four right angles.

If two lines are perpendicular, then they intersect to form four right angles.

If two sides of two adjacent acute angles are perpendicular, then the angles are

If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.

Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines,

Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular

Lines Perpendicular to a Transversal Theorem In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

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3 1 Definitions Parallel lines coplanar lines that3 1 Definitions Parallel lines coplanar lines that
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Parallel and Perpendicular Lines Objectives Define parallel linesParallel and Perpendicular Lines Objectives Define parallel lines
Parallel and Perpendicular Assignment Parallel Lines Parallel linesParallel and Perpendicular Assignment Parallel Lines Parallel lines
Pairs of Lines 1 Parallel Lines Parallel linesPairs of Lines 1 Parallel Lines Parallel lines
Parallel Lines Introduction What are parallel lines LinesParallel Lines Introduction What are parallel lines Lines
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Parallel Hardware Parallel Applications Parallel Software The ParallelParallel Hardware Parallel Applications Parallel Software The Parallel
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Parallel Perpendicular Lines Parallel and Perpendicular Lines TheParallel Perpendicular Lines Parallel and Perpendicular Lines The
Parallel Lines and Transversals Angles and parallel linesParallel Lines and Transversals Angles and parallel lines
PARALLEL LINES TRANSVERSA LS STUDENTS USE PARALLEL LINESPARALLEL LINES TRANSVERSA LS STUDENTS USE PARALLEL LINES
Parallel Lines cut by a Transversal Parallel LinesParallel Lines cut by a Transversal Parallel Lines
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Parallel Lines Transversals Parallel Lines and Transversals WhatParallel Lines Transversals Parallel Lines and Transversals What
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PARALLEL AND PERPENDICULAR LINES Slopes Parallel Lines ThePARALLEL AND PERPENDICULAR LINES Slopes Parallel Lines The
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DAY 38 CONSTRUCTING PARALLEL LINES INTRODUCTION Parallel linesDAY 38 CONSTRUCTING PARALLEL LINES INTRODUCTION Parallel lines
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