<p> Geometry Unit 3 Parallel and Perpendicular Lines</p><p>Name:______</p><p>1 Geometry Chapter 3 – Parallel and Perpendicular Lines</p><p>***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. ***</p><p>1.____ (3-1) Parallel Lines and Transversals –Day 1 Page 129 – 130 # 22 – 46 even </p><p>2. ____ (3-1) Parallel Lines and Transversals –Day 2 Page 128 # 1 – 21/ Section 3-1 Practice </p><p>Worksheet</p><p>3. ____ (3-2) Angles and Parallel Lines – Day 1 Page 136 – 137 # 14 – 25, 32 – 36</p><p>4. ____ (3-2) Angles and Parallel Lines – Day 2 Page 136 # 1 – 13/ Section 3-2 Practice </p><p>Worksheet</p><p>5.____ (3-3) Slopes of Lines – Day 1 Page 142 # 16 – 38 even</p><p>6. ____ (3-3) Slopes of Lines – Day 2 Page 142 # 1 – 14/ Section 3-3 Practice Worksheet</p><p>7. ____ (3-4) Equations of Lines – Day 1 Page 148 # 15 – 43 odd, 46 – 49</p><p>8. ____ (3-4) Equations of Lines – Day 2 Page 147 # 1 – 14/Section 3-4 Practice Worksheet</p><p>9. ____ (3-5) Proving Lines Parallel – Day 1 Page 155 # 13 – 24, 26 – 31, 38, 39</p><p>10. ____ (3-5) Proving Lines Parallel – Day 2 Page 154 # 1 – 12/ Section 3-5 Practice Worksheet</p><p>11. ____ Chapter 3 Review WS</p><p>2 3 Date: ______</p><p>Section 3 – 1: Parallel Lines and Transversals Notes</p><p>Parallel Lines: coplanar lines that do not ______</p><p>. Symbol:</p><p>. Ex: </p><p>Parallel Planes: ______that do not ______</p><p>. Ex:</p><p>Skew Lines: lines that do not ______and that are not ______</p><p>Example #1: Refer to the figure on the right. a.) Name all planes that are parallel to plane AEF. 4 b.) Name all segments that intersect .</p><p> c.) Name all segments that are parallel to .</p><p> d.) Name all segments that are skew to .</p><p>Transversal: a line that intersects Ex:</p><p>______or more lines in a plane at different ______</p><p>Example #2: Identify the pairs of lines to which each given line is a transversal. a.) p b.) r</p><p> c.) q d.) t</p><p>Key Concept (Transversals and Angles):</p><p>Transversal p intersects lines q and r. a.) Exterior Angles</p><p>5 b.) Interior Angles</p><p> c.) Consecutive Interior Angles</p><p> d.) Alternate Exterior Angles</p><p> e.) Alternate Interior Angles</p><p> f.) Corresponding Angles</p><p>6 Two Parallel Lines Cut by a Transversal</p><p> http://www.mathwarehouse.com/geometry/angle/transveral-and-angles.php</p><p>Complete the chart below as the position of the transversal is changed:</p><p>Angle Measure at Measure at Measure at position 1 position 2 position 3 <GEH</p><p><HEF</p><p><OEF</p><p><GEO</p><p><LFE</p><p><EFI</p><p><IFN</p><p>7 <NFL</p><p>Use the space below to make 4 conjectures about the relationships between the angles.</p><p>1.</p><p>2.</p><p>3.</p><p>4.</p><p>Date: ______</p><p>Section 3 – 2: Angles and Parallel Lines Notes</p><p>IF TWO PARALLEL LINES ARE CUT BY A TRANSVERSAL, THEN:</p><p>. By the Corresponding Angles Postulate each pair of corresponding angles is</p><p>______.</p><p>. By the Alternate Interior Angles Theorem each pair of alternate interior angles is</p><p>______.</p><p>. By the Alternate Exterior Angles Theorem each pair of alternate exterior angles is</p><p>______.</p><p>8 . By the Consecutive Interior Angles Theorem each pair of consecutive interior</p><p> angles is ______.</p><p>Example #1: In the figure, and . Find the measure of each angle. a.) b.) </p><p> c.) d.) </p><p> e.) f.) </p><p>Example #2: Find x and y in the following figure. </p><p>9 Example #3: Find x and y in the following figure. </p><p>Example #4: Find .</p><p>10 Date: ______</p><p>Section 3 – 3: Slopes of Lines</p><p>Notes</p><p>11 Slope – the ratio of a line’s ______to its ______</p><p> slope = </p><p>Example #1: Find the slope. a.) b.) </p><p> c.) d.) </p><p>Example #2: For one manufacturer of camping equipment, between 1990 and 2000 annual sales increased by $7.4 million per year. In 2000, the total sales were $85.9 million. If sales increase at the same rate, what will be the total sales in 2010. </p><p>12 13 Date: ______</p><p>Section 3 – 4: Equations of Lines</p><p>Notes</p><p>Slope-Intercept Form – </p><p>Example #1: Write an equation in slope-intercept form of the line with slope of –4 and y-intercept of 1.</p><p>Example #2: Write an equation in slope-intercept form of the line with slope 5 and a point at (0, -8).</p><p>Example #3: Write an equation in slope-intercept form of the line with slope –2 and a point at (-3, 6).</p><p>14 Point-Slope Form – </p><p>Example #4: Write an equation in point-slope form of the line whose slope is that contains (-10, 8).</p><p>Example #5: Write an equation in slope intercept form for a line containing (4, 9) and (-2, 0).</p><p>Example #6: Write an equation in slope-intercept form for a line containing (1, 7) that is perpendicular to the line .</p><p>15 16 Date: ______</p><p>Section 3 – 5: Proving Lines Parallel Notes</p><p>IF TWO LINES IN A PLANE ARE CUT BY A TRANSVERSAL SO THAT:</p><p>. Corresponding angles are ______, then the lines are</p><p>______.</p><p>. A pair of alternate exterior angles is ______, then the two lines are</p><p>______.</p><p>. A pair of alternate interior angles is ______, then the lines are</p><p>______. </p><p>17 . A pair of consecutive interior angles is ______, then the lines</p><p> are ______.</p><p>Ask yourself, “What if they were parallel…”</p><p>Example #1: Determine which lines, if any, are parallel.</p><p>Example #2: Given the following information, determine which lines, if any, are parallel. State the postulate or theorem that justifies your answer. a.) </p><p> b.) </p><p> c.) </p><p> d.) </p><p>Example #3: Find x so that a b.</p><p>]</p><p>18 Example #4: Find y so that l  m.</p><p>19</p>