Write the equation of the line that is parallel to the graph of. Printable math worksheets Line segments and angles worksheets grade classifying teaching.ДЎ4 Parallel And Perpendicular Lines Ideas Math Geometry Parallel And Perpendicular Lines 4th Grade Math from i. Browse parallel and perpendicular lines activity resources on teachers pay teachers, a marketplace trusted by millions of teachers forВ . Identify parallel and perpendicular lines. Find the slope of the line through each pair of points. Therefore, they are not parallel.в”Њ700YES, because the two lines are perpendicular to the same line.Parallel and perpendicular lines worksheet rewriting lines into slope intercept form and matching lines that are parallel or perpendicular from their slopesВ . The corresponding angles are not congruent. If two lines haveвЂ¦a transversal and a pair of congruent corresponding angles,a transversal and a pair of congruent alternate interior angles,a transversal and a pair of congruent alternate exterior angles,interior angles on the same side of the transversal that are supplementary,exterior angles on the same side of the transversal that are supplementary,then the lines are parallelIf two coplanar lines are perpendicular to the same line,Д®xamples1.2.5.YES, alternate interior angles are congruent13001300NO. The importance of learning thisвЂ¦Take a look around you.Chances are, you can see an example of parallel lines from where you are sitting.But how can you be sure the lines you see are parallel?Architects and builders use the basic geometric concepts in this chapter to insure that lines are indeed parallel.

20 вЂ“ 22in your E-Math book page 112in ВЅ paper (crosswise)

Sample Problems3.4.(8x вЂ“ 8)oAlternate Exterior Angles(6x + 48)ocongruent angles(5x + 20)oCorresponding Anglescongruent angles(8x + 2)o Sample Problems1.2.a(5x - 10)0Same Side Interior Angles(8x + 34)0bsupplementary angles(7x + 54)0Alternate Interior Anglescongruent angles(3x + 90)0 SUMMARYIf parallel lines are cut by a transversal, thenCorresponding angles are congruent.Alternate interior angles are congruent.Alternate exterior angles are congruent.Same side interior angles are supplementary.Same side exterior angles are supplementary. All the obtuse angles are congruent.Any pair of acute and obtuse angle is supplementary. If a transversal obliquely intersects two parallel lines, then:All the acute angles are congruent. PSSIAS TheoremExterior angles on the same side of a transversal are supplementary. PAEC TheoremInterior angles on the same side of a transversal are supplementary. PAIC * Parallel lines are indicated as lines with the same number of arrowheads located near the center.ДЄlternate exterior angles are congruent. PCAC TheoremAlternate interior angles are congruent. SUMMARYCorresponding angles are congruent. If a transversal is perpendicular to one of two parallel lines, then it is also perpendicular to the other. If a transversal (n) cuts two parallel lines (l в•‘ m), then all pairs of interior angles on the same side of the transversal are supplementary.3 + 6 = 18004 + 5 = 1800They are same-side interior angles.If a transversal (n) cuts two parallel lines (l в•‘ m), then all pairs of exterior angles angles on the same side of the transversal are supplementary.2 + 7 = 18001 + 8 = 1800They are same-side exterior angles.12l3456m78n If parallel lines have a transversal, thenвЂ¦ (l в•‘ m)(n)Corresponding angles are congruentAlternate interior angles are congruentAlternate exterior angles are congruent1 5Д’ 637 4 812l3456m3 5Д” 678n1 7Д’ 8 Write your conclusions in if-then form.Compare your results with those of your classmates. WORKING TOGETHERObserve the measurements and make conjectures about the measures of the angle pairs.

Then draw a transversal that intersects the two parallel lines obliquely.Label all the angles from 1 to 8.List all pairs of corresponding, alternate interior, alternate exterior, same side interior and same side exterior angles.

WORKING TOGETHERDraw two parallel lines using lined paper or the two edges of a ruler.

Parallel lines in math illustrations