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Name: ____________________________________ Geometry Pd. _____________ 15-2 HW Date: _____ Lines and Angles – Linear Relationships Review Homework 1. Given shown below, with and is parallel to and , what is an equation of the line that passes through point ? 1) 2) 3) 4) 2. An equation of a line perpendicular to the line represented by the equation 3. The equations of lines k, p, and m are given below: Which statement is true? 1) 2) 3) 4) 4. Which equation represents a line parallel to the x-axis? 1) 2) 3) 4) 5. What is the distance between the points (-5,3) and (-3,1)? 1) √68 2) 3) 4) √20 √8 √10 and passing through is 6. Which geometric principle is used to justify the construction below? 1) A line perpendicular to one of two parallel lines is perpendicular to the other. 2) Two lines are perpendicular if they intersect to form congruent adjacent angles. 3) When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel. 4) When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel. 7. Given that lines AB and CD intersect to form the angles below solve for the angle marked r. 8. In the diagram below, quadrilateral DEFG has vertices D(1,3), E(5,3), F(7,-1), and G(1,-1). What are the coordinates of the midpoint of diagonal ̅̅̅̅ 𝐺𝐸 ? 9. In the following diagram, line e is parallel to line f. a) Solve for angle X. b) State what special parallel angle theorem(s) you used and what relationship that angle pair is. c) Is line c parallel to line d? Justify your answer using details from the diagram. 10. In circle O, diameter RS has endpoints R (2a, 5b) and S (6a, -2b). a) Find the coordinates of point O, the midpoint of the diameter, in terms of a and b. Express your answer in simplest form. b) Solve for the slope of diameter RS. 11. Write an equation of the perpendicular bisector of the line segment whose endpoints are and .