# Chapter 3: Parallel and Perpendicular Lines Section 3.5 ... ? Â· Chapter 3: Parallel and Perpendicular Lines ... (3, 1) and K(2, ... Determining Whether Lines Are Parallel, Perpendicular, or

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Geometry B Name:______________________ Date: ___________ Chapter 3: Parallel and Perpendicular Lines Section 3.5: Slope of Lines Are you ready? (This should be completed for homework.) Find the value of m. 1. 2. 3. 4. Why learn this?____________________________________________ _________________________________________________________ Objectives of Lesson: ________________________________________ _________________________________________________________ _________________________________________________________ The slope_________________________________________________ _________________________________________________________ __________________________________________________________________________________________________________________ Slope of a Line Definition Example 2 Example 1: Finding the Slope of a Line Use the slope formula to determine the slope of each line: AB, AC, AD and CD Remember__________________________________________________________________________________________________________ Example 2: Finding the Slope of a Line Use the slope formula to determine the slope of JK through J(3, 1) and K(2, 1). Summary: Slope of a Line Positive Slope Negative Slope Zero Slope Undefined Slope 3 One interpretation__________________________________________ __________________________________________________________________________________________________________________ Example 3: Transportation Application Justin is driving from home to his college dormitory. At 4:00 p.m., he is 260 miles from home. At 7:00 p.m., he is 455 miles from home. Graph the line that represents Justins distance from home at a given time. Find and interpret the slope of the line. Example 3: Application Tony is driving from Dallas, Texas, to Atlanta, Georgia. At 3:00 P.M., he is 180 miles from Dallas. At 5:30 P.M., he is 330 miles from Dallas. Graph the line that represents Tonys distance from Dallas at a given time. Find and interpret the slope of the line. Example 4: What if? Use the graph above to estimate how far Tony will have traveled by 6:30 P.M. if his average speed stays the same. 4 Slopes of Parallel and Perpendicular Lines Parallel Lines Theorem Perpendicular Lines Theorem If a line __________________________________________________ __________________________________________________________________________________________________________________ Caution: __________________________________________________ __________________________________________________________________________________________________________________ Example 5: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. UV and XY for U(0, 2), V(1, 1), X(3, 1), and Y(3, 3) 5 Example 6: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. CD and EF for C(1, 3), D(1, 1), E(1, 1), and F(0, 3) Example 7: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. GH and IJ for G(3, 2), H(1, 2), I(2, 4), and J(2, 4) 6 Example 8: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. WX and YZ for W(3, 1), X(3, 2), Y(2, 3), and Z(4, 3) Example 9: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. KL and MN for K(4, 4), L(2, 3), M(3, 1), and N(5, 1) 7 Example 10: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither. BC and DE for B(1, 1), C(3, 5), D(2, 6), and E(3, 4) smilardo.wordpress.com - homework: worksheets: link to book and more @MsMilardo