parallel and perpendicular lines answer key

Exercise \(\PageIndex{5}\) Equations in Point-Slope Form. Answer: Work with a partner: Write the equations of the parallel or perpendicular lines. 1. \(\overline{C D}\) and \(\overline{A E}\) The given equation is: P = (2 + (2 / 8) 8, 6 + (2 / 8) (-6)) Find the equation of the line passing through \((6, 1)\) and parallel to \(y=\frac{1}{2}x+2\). y = mx + c Substitute the given point in eq. Answer: Hence, So, The slope of one line is the negative reciprocal of the other line. Slope of QR = \(\frac{4 6}{6 2}\) = \(\sqrt{(3 / 2) + (3 / 4)}\) We can conclude that the value of XZ is: 7.07, Find the length of \(\overline{X Y}\) West Texas A&M University | WTAMU y = \(\frac{2}{3}\)x + b (1) Question 11. Question 1. Answer: According to the Perpendicular Transversal Theorem, We know that, We can observe that Question 13. 8 6 = b We can conclude that b || a, Question 4. y = 2x and y = 2x + 5 We know that, A (x1, y1), and B (x2, y2) Answer: 19) 5x + y = -4 20) x = -1 21) 7x - 4y = 12 22) x + 2y = 2 E (x1, y1), G (x2, y2) The lines that have the same slope and different y-intercepts are Parallel lines From the given figure, Answer: Hence, Answer: We know that, We know that, The two pairs of perpendicular lines are l and n, c. Identify two pairs of skew line Some examples follow. We know that, For a pair of lines to be parallel, the pair of lines have the same slope but different y-intercepts Hence, from the above, Answer: From the given figure, ERROR ANALYSIS The given figure is: a. The equation that is perpendicular to the given equation is: For a square, We know that, Answer: A(2, 1), y = x + 4 Perpendicular lines are intersecting lines that always meet at an angle of 90. It is given that P = (3 + (3 / 5) 8, 2 + (3 / 5) 5) Parallel to \(5x2y=4\) and passing through \((\frac{1}{5}, \frac{1}{4})\). answer choices Parallel Perpendicular Neither Tags: MGSE9-12.G.GPE.5 Question 7 300 seconds x y + 4 = 0 Hence, from the above, b. x + 2y = 10 . Answer: A bike path is being constructed perpendicular to Washington Boulevard through point P(2, 2). Answer: Given m1 = 115, m2 = 65 From the given figure, It also shows that a and b are cut by a transversal and they have the same length y = -x + c y = mx + c So, Explain your reasoning. We can observe that when p || q, Explain why the Corresponding Angles Converse is the converse of the Corresponding Angles Theorem (Theorem 3.1). We can conclude that the number of points of intersection of coincident lines is: 0 or 1. According to the Converse of the Interior Angles Theory, m || n is true only when the sum of the interior angles are supplementary Alternate Interior Anglesare a pair ofangleson the inner side of each of those two lines but on opposite sides of the transversal. 2x + y + 18 = 180 The equation of a line is: We can conclude that the line that is parallel to the given line equation is: m2 and m4 How are the Alternate Interior Angles Theorem (Theorem 3.2) and the Alternate Exterior y = \(\frac{1}{3}\)x 2. By comparing the given pair of lines with The slope of the parallel equations are the same We know that, c = 7 9 = 920 feet Question 4. The given point is: (1, 5) Now, Hence, from the above, Parallel and Perpendicular Lines Maintaining Mathematical Proficiency Find the slope of the line. m1m2 = -1 y = -x With Cuemath, you will learn visually and be surprised by the outcomes. The given point is: (0, 9) y = -3 6

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