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Course: Geometry Chapter 3: Parallel and Perpendicular Lines Big Idea: Use and prove properties of parallel lines and the angles formed by parallel lines and transversals. Represent lines in the coordinate plane. Learning Target: I CAN 3-1a … Identify parallel, perpendicular and skew lines. Example Give one example of each from the figure. 3-1b. … Identify angles formed by two lines and a transversal. 1. 2. 3. 4. 5. 6. 3-2. … Prove and use theorems about the angles formed by parallel lines and a transversal. Find each angle measure 1. 2. 3. 4. 3-3. … Use the angles formed by a transversal to prove two lines are parallel. a transversal parallel lines corresponding angles alternate interior angles alternate exterior angles same-side interior angles m 1 m 3 m 4 m 5 Use the figure for 1-4. Tell whether the lines are parallel and state your reasoning. 1. 7 6 3. 1 5 2. m2 = (5x + 3)o, m3 = (8x – 5)o, x =14 4. m6 = (x + 10)o, m2 = (x + 15)o Starting Getting There Got It Learning Target: I CAN Example 3-4. … Prove and apply theorems about perpendicular lines. Name the shortest segment form the point to the line and write an inequality for x. 3-5a. … Find the slope of a line. Use the slope formula to find the slope of each line. L M with L at (0, 2) and M at (2,3) 2. J K with J at (3,3) and K at (4,2) 1. 3-5b. …use slopes to identify parallel and perpendicular lines. Tell whether each pair of lines is parallel, perpendicular or neither. 3-6a…. Graph lines and write their equations in slope intercept form. Write the equation of each line in the given form. 1. the horizontal line through (3,7) in point-slope form. 3-6b…. Classify lines as parallel, intersecting or coinciding. E F with slope = 3 and G H with slope = -1. 2 3 2. P Q with slope = and R S with slope = 3 2 3. I J with endpoints I(1,0) and J(5,3) and K L with endpoints K(6, -1) and L(0,2) 4. P Q with endpoints P(5, 1) and Q(-1, -1) and R S with endpoints R(2,1) and S(3, -2) 1. 8 through (1, -5) in point-slope form. 5 1 7 3. the line though , and (2,14) in slope-intercept form. 2 2 2. the line with slope = 4. the line with x-intercept equal -2 and y-intercept equal -1 in slope-intercept form. Determine whether the lines are parallel, intersect or coincide 1 (x + 5) 5 1. x – 5y = 0, y + 1 = 2. 2y + 2 = x, ½ x = -1 + y 3. y = 4(x – 3), 3 1 +y= x 4 4 Starting Getting There Got It