Answer: Question 28. Answer: Parallel and Perpendicular Lines Worksheet - Mausmi Jadhav - TemplateRoller Answer: line(s) parallel to . The point of intersection = (\(\frac{4}{5}\), \(\frac{13}{5}\)) Here is a graphic preview for all of the Parallel and Perpendicular Lines Worksheets. Write an equation of the line passing through the given point that is parallel to the given line. Now, The equation that is perpendicular to the given line equation is: Hence, from the above, = \(\frac{6 0}{0 + 2}\) Now, P( 4, 3), Q(4, 1) b = 2 Answer: x y = -4 ABSTRACT REASONING Substitute (3, 4) in the above equation = \(\frac{-4 2}{0 2}\) So, Answer: We can observe that the slopes of the opposite sides are equal i.e., the opposite sides are parallel (11x + 33)+(6x 6) = 180 We can observe that the sum of the angle measures of all the pairs i.e., (115 + 65), (115 + 65), and (65 + 65) is not 180 From the given figure, We can conclude that the line that is perpendicular to \(\overline{C D}\) is: \(\overline{A D}\) and \(\overline{C B}\), Question 6. Yes, there is enough information in the diagram to conclude m || n. Explanation: Hence, from the above, your friend claims to be able to make the shot Shown in the diagram by hitting the cue ball so that m1 = 25. We can conclude that the line parallel to \(\overline{N Q}\) is: \(\overline{M P}\), b. Answer: By using the Perpendicular transversal theorem, If you need more of a review on how to use this form, feel free to go to Tutorial 26: Equations of Lines Hence, from the above, Substitute (-5, 2) in the given equation (1) Now, We can conclude that the number of points of intersection of intersecting lines is: 1, c. The points of intersection of coincident lines: Hence, Line 2: (2, 4), (11, 6) According to the consecutive exterior angles theorem, From the above table, We know that, We can observe that c. y = 5x + 6 y = \(\frac{1}{5}\)x + c So, We can conclude that the theorem student trying to use is the Perpendicular Transversal Theorem. y = \(\frac{1}{2}\)x + c From the given figure, Explain your reasoning. y = -2x + c In this form, we can see that the slope of the given line is \(m=\frac{3}{7}\), and thus \(m_{}=\frac{7}{3}\). Answer: 1 = -18 + b The given figure is: We can observe that the given lines are perpendicular lines Draw \(\overline{P Z}\), CONSTRUCTION Solution to Q6: No. But, In spherical geometry, even though there is some resemblance between circles and lines, there is no possibility to form parallel lines as the lines will intersect at least at 1 point on the circle which is called a tangent m1 = m2 = \(\frac{3}{2}\) ATTENDING TO PRECISION Some examples follow. x = \(\frac{153}{17}\) Hence, from the above, 69 + 111 = 180 So, x = \(\frac{18}{2}\) Answer: Question 36. The completed table is: Question 1. Describe how you would find the distance from a point to a plane. Look back at your construction of a square in Exercise 29 on page 154. x = \(\frac{3}{2}\) Hence, from the above, Hence, from the above, We can conclude that a || b. 1 4. Examples of parallel lines: Railway tracks, opposite sides of a whiteboard. y = -2x + c b.) The slope of the parallel line that passes through (1, 5) is: 3 The given line has slope \(m=\frac{1}{4}\), and thus \(m_{}=+\frac{4}{1}=4\). The y-intercept is: 9. Lines l and m are parallel. -2 = \(\frac{1}{2}\) (2) + c