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Name_________________ Date___________ Geometry Chapter 3 Review For numbers 1 – 3 use the figure below. 1.) Identify a pair of skew segments. 2.) Identify a pair of perpendicular segments. 3.) Identify a pair of parallel line segments. 4.) True or false . Perpendicular lines cannot be skew lines. 5.) True or False. Perpendicular lines intersect. For numbers 6 – 11 use the figure below to give the name for each pair of angles. 6.) and and and and and and 12. Given r s, use the figure below to find the measure of each angle. A.) m B.) m Cm 13.) Name the shortest segment from C to AB. 14.) Write and solve an inequality for x 15.) Find the slope of JK through J(1, 1) and K(2, 3). For numbers 16 – 18 use the given information to write the equation for the line in point slope form. 16.) Through the point (3, 4) with 17.) Through the points (-6, 1) and (-2, 9) Slope -2/3 18.) Through the points (5, -2) and (-3, -3) 19.) Write the equation for the line through the points (2, 7) and (4, 1) in slope intercept form. For numbers 20 – 24 use the given information to find the slope of each line and determine if the lines are parallel, perpendicular, coinciding or intersecting but not perpendicular. 20.) y = -3x + 4 and y = -3x – 8 21.) Line through the points (1, 4) and (-1, -2,) And line through (4, 3) and (1, 4) 22.) y – 4 = 2( x + 10) and y – 2 = 2(x + 11) 23.) 4x – y = 3 and 2x + 3y = 9 24.) y = 2x – 1 and x + 2y = 5 25.) Line through the points (11, 5) and (13, -1,) And line through (-4, 5) and (-3, 2) 26.) Find the measure of QRS and state the postulate or theorem that justifies your answer. 27.) Given that r is parallel to s and s is parallel to t find the value of x and y. 28) If the slope of a line is 0, which type of line is it and what is true about the y-coordinates of all points on the line? 29.) If line r through (1, 1) and (5, 7) is parallel to line s through (4, 2) and (x, y), what are possible values for x and y? 30.) Use the partially completed two-column proof for Exercises 12 and 13. Given: AD BE and BCF FCD. Prove: BE || CF Proof: Statements Reasons 1. AD BE 1. Given 2. BCF FCD 2. Given 3. CF AD 3. ________ ___ 4. BE || CF 4. _______ _____ 31. Use the given figure and find the measure of each angle. A.) B.) Graph the lines below. 32.) y = 3x – 1 34.) y – 2 = ½(x + 3)