parallel and perpendicular lines answer key

-3 = -4 + c 5y = 116 + 21 In Exercises 27-30. find the midpoint of \(\overline{P Q}\). It is given that a gazebo is being built near a nature trail. It is given that the given angles are the alternate exterior angles We can conclude that y = -x + 8 Alternate Interior Anglesare a pair ofangleson the inner side of each of those two lines but on opposite sides of the transversal. Answer: y y1 = m (x x1) Find the equation of the line passing through \((1, 5)\) and perpendicular to \(y=\frac{1}{4}x+2\). The equation of a line is x + 2y = 10. PDF Parallel and Perpendicular Lines - bluevalleyk12.org So, If we represent the bars in the coordinate plane, we can observe that the number of intersection points between any bar is: 0 X (-3, 3), Z (4, 4) The equation that is perpendicular to the given line equation is: 4. So, Given: k || l The given points are: Explain your reasoning. Now, 0 = 3 (2) + c = 1.67 XZ = \(\sqrt{(7) + (1)}\) Answer: Question 20. (2x + 20) = 3x \(m_{}=\frac{2}{7}\) and \(m_{}=\frac{7}{2}\), 17. Hence, from the above, = \(\frac{15}{45}\) Is your classmate correct? We can conclude that m and n are parallel lines, Question 16. a. PDF KM 654e-20150330181613 So, In Exercises 13 16. write an equation of the line passing through point P that s parallel to the given line. The resultant diagram is: Where, Now, We can observe that We know that, Answer: Question 14. \(m_{}=10\) and \(m_{}=\frac{1}{10}\), Exercise \(\PageIndex{4}\) Parallel and Perpendicular Lines. (2x + 12) + (y + 6) = 180 The distance from point C to AB is the distance between point C and A i.e., AC So, Answer: 2 + 3 = 180 The parallel lines have the same slopes -2 = 1 + c c.) False, parallel lines do not intersect each other at all, only perpendicular lines intersect at 90. c = 5 + 3 Answer: Question 24. are parallel, or are the same line. Answer: Now, 3 + 133 = 180 (By using the Consecutive Interior angles theorem) We can conclude that 2 and 7 are the Vertical angles, Question 5. y = -2x + b (1) Now, Justify your conclusion. Question 12. The given equation is: We can conclude that 18 and 23 are the adjacent angles, c. The slopes of the parallel lines are the same Answer: c = -5 + 2 The parallel line equation that is parallel to the given equation is: The given point is: A(3, 6) Answer: Question 6. Question 1. When we compare the given equation with the obtained equation,

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