If we try to find the slope of a perpendicular line by finding the opposite reciprocal, we run into a problem: \(m_{}=\frac{1}{0}\), which is undefined. Slope of RS = \(\frac{-3}{-1}\) If line E is parallel to line F and line F is parallel to line G, then line E is parallel to line G. Question 49. COMPLETE THE SENTENCE So, The given equation in the slope-intercept form is: Verify your formula using a point and a line. Given \(\overrightarrow{B A}\) \(\vec{B}\)C Answer: The given figure is: The lines perpendicular to \(\overline{Q R}\) are: \(\overline{R M}\) and \(\overline{Q L}\), Question 2. y = \(\frac{1}{3}\)x + 10 According to the Corresponding Angles Theorem, the corresponding angles are congruent Copy and complete the following paragraph proof of the Alternate Interior Angles Converse using the diagram in Example 2. The given figure is: y = mx + b (- 8, 5); m = \(\frac{1}{4}\) 3 = 180 133 We know that, Now, Hence, from the above, From the figure, You can select different variables to customize these Parallel and Perpendicular Lines Worksheets for your needs. Question 1. Explain your reasoning? The equation of the line that is parallel to the given equation is: Compare the given points with P(2, 3), y 4 = 2(x + 3) x + 2y = 2 We know that, If you need more of a review on how to use this form, feel free to go to Tutorial 26: Equations of Lines So, The two lines are vertical lines and therefore parallel. We know that, The representation of the given point in the coordinate plane is: Question 56. Now, Answer: Question 42. The given equation is: From the above, From the given figure, x = 3 (2) The given equation is: 3 = 60 (Since 4 5 and the triangle is not a right triangle) Decide whether there is enough information to prove that m || n. If so, state the theorem you would use. (A) Corresponding Angles Converse (Thm 3.5) Answer: 5 = c XY = \(\sqrt{(x2 x1) + (y2 y1)}\) The slope of the parallel line that passes through (1, 5) is: 3 Possible answer: 1 and 3 b. Line c and Line d are perpendicular lines, Question 4. Write an equation of the line that is (a) parallel and (b) perpendicular to the line y = 3x + 2 and passes through the point (1, -2). (2) c = 5 \(\frac{1}{2}\) We can conclude that m || n, Question 15. Explain your reasoning. We know that, So, x = \(\frac{149}{5}\) If the angle measure of the angles is a supplementary angle, then the lines cut by a transversal are parallel The slope of perpendicular lines is: -1 This can be proven by following the below steps: Eq. y = \(\frac{8}{5}\) 1 Answer: The given line that is perpendicular to the given points is: We can conclude that the equation of the line that is parallel to the given line is: The product of the slopes of the perpendicular lines is equal to -1 = \(\frac{-1 2}{3 4}\) The parallel line equation that is parallel to the given equation is: Question 27. We have to find 4, 5, and 8 The adjacent angles are: 1 and 2; 2 and 3; 3 and 4; and 4 and 1 Hence, The perpendicular bisector of a segment is the line that passes through the _______________ of the segment at a _______________ angle. a. So, Slope of the line (m) = \(\frac{-2 + 2}{3 + 1}\) We can observe that all the angles except 1 and 3 are the interior and exterior angles We can conclude that the value of x is: 20, Question 12. According to the Vertical Angles Theorem, the vertical angles are congruent y = 162 2 (9) Possible answer: 1 and 3 b. So, m2 and m4 b. m1 + m4 = 180 // Linear pair of angles are supplementary Construct a square of side length AB y = \(\frac{3}{2}\) A(1, 6), B(- 2, 3); 5 to 1 Find the coordinates of point P along the directed line segment AB so that AP to PB is the given ratio. The given equations are: From the given figure, 2 and7 Question 11. Perpendicular transversal theorem: c. Use the properties of angles formed by parallel lines cut by a transversal to prove the theorem. Write the equation of a line that would be parallel to this one, and pass through the point (-2, 6). y = 3x 6, Question 11. The pair of angles on one side of the transversal and inside the two lines are called the Consecutive interior angles. If the sum of the angles of the consecutive interior angles is 180, then the two lines that are cut by a transversal are parallel From the given figure, We can conclude that We can observe that \(\overline{A C}\) is not perpendicular to \(\overline{B F}\) because according to the perpendicular Postulate, \(\overline{A C}\) will be a straight line but it is not a straight line when we observe Example 2 We know that, The slope is: \(\frac{1}{6}\) y = 2x + c The given figure is: WHICH ONE did DOESNT BELONG? Label points on the two creases. We can conclude that the theorem student trying to use is the Perpendicular Transversal Theorem. Identifying Parallel, Perpendicular, and Intersecting Lines Worksheets y = \(\frac{1}{2}\)x + c = \(\frac{-6}{-2}\) So, a) Parallel to the given line: Here is a quick review of the point/slope form of a line. We know that, (x1, y1), (x2, y2) The line l is also perpendicular to the line j The given point is: A (-2, 3) Furthermore, the rise and run between two perpendicular lines are interchanged. Hence, from the above, The lines skew to \(\overline{E F}\) are: \(\overline{C D}\), \(\overline{C G}\), and \(\overline{A E}\), Question 4. consecutive interior y = 3x + c We know that, y = \(\frac{2}{3}\) So, 5-6 parallel and perpendicular lines, so we're still dealing with y is equal to MX plus B remember that M is our slope, so that's what we're going to be working with a lot today we have parallel and perpendicular lines so parallel these lines never cross and how they're never going to cross it because they have the same slope an example would be to have 2x plus 4 or 2x minus 3, so we see the 2 . The pair of angles on one side of the transversal and inside the two lines are called the Consecutive interior angles. We know that, We can observe that there are 2 perpendicular lines 2. Begin your preparation right away and clear the exams with utmost confidence. -x = x 3 The given figure is: P = (3 + (3 / 5) 8, 2 + (3 / 5) 5) For a vertical line, Answer: a is perpendicular to d and b is perpendicular to c Compare the given equations with (2) No, we did not name all the lines on the cube in parts (a) (c) except \(\overline{N Q}\). .And Why To write an equation that models part of a leaded glass window, as in Example 6 3-7 11 Slope and Parallel Lines Key Concepts Summary Slopes of Parallel Lines If two nonvertical lines are parallel, their slopes are equal. So, (b) perpendicular to the given line. If you multiply theslopesof twoperpendicular lines in the plane, you get 1 i.e., the slopes of perpendicular lines are opposite reciprocals. \(m_{}=\frac{2}{7}\) and \(m_{}=\frac{7}{2}\), 17. The angles that have the opposite corners are called Vertical angles These Parallel and Perpendicular Lines Worksheets will give the slopes of two lines and ask the student if the lines are parallel, perpendicular, or neither. The product of the slopes of the perpendicular lines is equal to -1 y = -x 12 (2) Now, We can observe that Slope of KL = \(\frac{n n}{n 0}\) If not, what other information is needed? = 104 The map shows part of Denser, Colorado, Use the markings on the map. We know that, Alternate Exterior Angles Theorem: 2x y = 4 You are looking : parallel and perpendicular lines maze answer key pdf Contents 1. Maintaining Mathematical Proficiency 10. \(\frac{6-(-4)}{8-3}\) The slope of the line that is aprallle to the given line equation is: When finding an equation of a line perpendicular to a horizontal or vertical line, it is best to consider the geometric interpretation. d = \(\sqrt{290}\) The slopes are equal fot the parallel lines We can conclude that your friend is not correct. Answer: So, No, your friend is not correct, Explanation: The given equation is: The equation for another line is: plane(s) parallel to plane ADE (180 x) = x 3 + 4 = c We know that, Hence, from the above, Substitute (-2, 3) in the above equation Hence, from the above, Answer: Question 2. We can conclude that the distance from point A to the given line is: 1.67. Is quadrilateral QRST a parallelogram? Describe how you would find the distance from a point to a plane. Perpendicular to \(y=\frac{1}{3}x+2\) and passing through \((4, 3)\). Where, The given equation is: We know that, Now, Answer: The given equation is: . Hence, from the above, Answer: If the pairs of corresponding angles are, congruent, then the two parallel lines are. We know that, k = 5 The measure of 1 is 70. We know that, XZ = 7.07 Compare the given points with (x1, y1), and (x2, y2) = 2 (460) b) Perpendicular line equation: Answer: Question 32. The Intersecting lines have a common point to intersect Hence, from the above, = \(\frac{-2}{9}\)
Equations parallel and perpendicular lines answer key From the above definition, Work with a partner: Fold a piece of pair in half twice. To prove: l || k. Question 4. Perpendicular to \(y=x\) and passing through \((7, 13)\). We know that, CONSTRUCTING VIABLE ARGUMENTS The plane parallel to plane ADE is: Plane GCB. In Exercises 15-18, classify the angle pair as corresponding. Substitute the given point in eq. In Exercises 27-30. find the midpoint of \(\overline{P Q}\). The slope of line a (m) = \(\frac{y2 y1}{x2 x1}\) So, PROOF The distance between lines c and d is y meters. Hence, from the above, Answer: The product of the slopes of the perpendicular lines is equal to -1 1 = 40 It is given that m || n If we represent the bars in the coordinate plane, we can observe that the number of intersection points between any bar is: 0 Students must unlock 5 locks by: 1: determining if two given slopes are parallel, perpendicular or neither. Now, Hence, from the above, We can conclude that (a) parallel to the line y = 3x 5 and
Parallel, Perpendicular and Intersecting Lines Worksheets The given figure is: When we compare the given equation with the obtained equation, Label the point of intersection as Z. y = 13 Answer: Hence, from the above, The given figure is: Let the congruent angle be P So, According to the Alternate Interior Angles theorem, the alternate interior angles are congruent So, c = -4 + 3 Similarly, observe the intersecting lines in the letters L and T that have perpendicular lines in them. Answer: To find the y-intercept of the equation that is perpendicular to the given equation, substitute the given point and find the value of c, Question 4. y = 7 The given table is: The slope of the given line is: m = -3 The coordinates of the line of the first equation are: (0, -3), and (-1.5, 0) We can conclude that the value of the given expression is: 2, Question 36. We can conclude that m || n by using the Corresponding Angles Theorem, Question 14. Explain your reasoning. (1) = Eq. (2) Answer: y = \(\frac{1}{2}\)x + 6 Will the opening of the box be more steep or less steep? d = \(\sqrt{(13 9) + (1 + 4)}\) 2x + y + 18 = 180 Proof: The lines that have the slopes product -1 and different y-intercepts are Perpendicular lines Label the intersections of arcs C and D. Step 2: Substitute the slope you found and the given point into the point-slope form of an equation for a line. line(s) perpendicular to Slope of MJ = \(\frac{0 0}{n 0}\) The given figure is: From the given figure, Now, x = 97 x z and y z 3: write the equation of a line through a given coordinate point . The coordinates of line a are: (0, 2), and (-2, -2) Determine which of the lines are parallel and which of the lines are perpendicular. The missing information the student assuming from the diagram is: y = \(\frac{3}{2}\)x + 2, b. Answer: So, The y-intercept is: -8, Writing Equations of Parallel and Perpendicular Lines, Work with a partner: Write an equation of the line that is parallel or perpendicular to the given line and passes through the given point. We know that, it is given that the turf costs $2.69 per square foot The portion of the diagram that you used to answer Exercise 26 on page 130 is: Question 2. Parallel and perpendicular lines worksheet answers key geometry - Note: This worksheet is supported by a flash presentation, under Mausmi's Math Q2: Determine. Hence, from the above, We can observe that Slope of AB = \(\frac{2}{3}\) PDF Name: Unit 3: Parallel & Perpendicular Lines Bell: Homework 5: Linear. The slopes of perpendicular lines are undefined and 0 respectively It is given that a student claimed that j K, j l 1 2 3 4 5 6 7 8 By using the consecutive interior angles theorem, If the corresponding angles are congruent, then the two lines that cut by a transversal are parallel lines x = c From the given figure, Answer: We know that, Use a graphing calculator to graph the pair of lines. Converse: 3.1 Lines and Angles 3.2 Properties of Parallel Lines 3.3 Proving Lines Parallel 3.4 Parallel Lines and Triangles 3.5 Equations of Lines in the Coordinate Plane 3.6 Slopes of Parallel and Perpendicular Lines Unit 3 Review Select the angle that makes the statement true. Each unit in the coordinate plane corresponds to 50 yards. So, . We know that, A(- 9, 3), y = x 6 When we compare the given equation with the obtained equation, We can conclude that the perpendicular lines are: The given figure is: The slope of first line (m1) = \(\frac{1}{2}\) Hence, from the above, From the given figure, Now, We know that, m = 2 x + 2y = 2 From the given figure, The given equation is: Hence, from the above, We can conclude that the parallel lines are: Answer/Step-by-step Explanation: To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each. c = -3 The given rectangular prism is: 11y = 96 19 Also the two lines are horizontal e. m1 = ( 7 - 5 ) / ( -2 - (-2) ) m2 = ( 13 - 1 ) / ( 5 - 5 ) The two slopes are both undefined since the denominators in both m1 and m2 are equal to zero. c = 7 9 To find the distance from point X to \(\overline{W Z}\), So, Line 1: (10, 5), (- 8, 9) 5 + 4 = b Now, We can conclude that the distance between the given 2 points is: 17.02, Question 44. m || n is true only when (7x 11) and (4x + 58) are the alternate interior angles by the Convesre of the Consecutive Interior Angles Theorem The letter A has a set of perpendicular lines. In Exploration 2,
Equations of Parallel and Perpendicular Lines - ChiliMath So, Answer: The given figure is: Hence, So, By using the Alternate exterior angles Theorem, y = \(\frac{1}{2}\)x 3 Homework Sheets. then they are parallel. Answer: The equation of a line is: Answer: Parallel to \(y=\frac{1}{2}x+2\) and passing through \((6, 1)\). So, A(-1, 5), y = \(\frac{1}{7}\)x + 4 2 = 41
Write equations of parallel & perpendicular lines - Khan Academy From the given figure, y = \(\frac{3}{5}\)x \(\frac{6}{5}\) We can observe that, Answer: PROOF Converse: Now, First, find the slope of the given line. Where, Now, The parallel lines have the same slopes THOUGHT-PROVOKING Lines Perpendicular to a Transversal Theorem (Thm. So, The lines are named as AB and CD. y = mx + c So, The lines that have the slopes product -1 and different y-intercepts are Perpendicular lines Substitute the given point in eq. A(- 2, 3), y = \(\frac{1}{2}\)x + 1 (2) to get the values of x and y The given figure is: We can conclude that the value of XY is: 6.32, Find the distance from line l to point X. Answer: Answer: Answer: The equation of the line along with y-intercept is: The given lines are the parallel lines The perpendicular line equation of y = 2x is: y = -x + 1. y = \(\frac{1}{3}\)x + \(\frac{16}{3}\), Question 5. Hence, from the above, We know that, Justify your answer. Slope (m) = \(\frac{y2 y1}{x2 x1}\) It is given that We can observe that the given angles are the consecutive exterior angles that passes through the point (4, 5) and is parallel to the given line. The angles are: (2x + 2) and (x + 56) b. 9. We know that, The converse of the Alternate Interior angles Theorem: We know that, Now, The equation of the line that is perpendicular to the given line equation is: Justify your conjecture. So, What are Parallel and Perpendicular Lines? The resultant diagram is: = \(\frac{1}{3}\) Now, You meet at the halfway point between your houses first and then walk to school. We know that, The equation that is parallel to the given equation is: Parallel to \(5x2y=4\) and passing through \((\frac{1}{5}, \frac{1}{4})\). From the given figure, x = \(\frac{87}{6}\) Hence, from the above, Question 11. So, Question 5. What conjectures can you make about perpendicular lines? (1) = Eq. Make the most out of these preparation resources and stand out from the rest of the crowd. The equation for another line is: Does the school have enough money to purchase new turf for the entire field? Substitute (-1, 6) in the above equation We can observe that 141 and 39 are the consecutive interior angles Hence, Perpendicular Transversal Theorem A carpenter is building a frame. y = 4x + b (1) The third intersecting line can intersect at the same point that the two lines have intersected as shown below: MATHEMATICAL CONNECTIONS d = \(\sqrt{(x2 x1) + (y2 y1)}\) So, Determine the slope of a line parallel to \(y=5x+3\). Now, = \(\frac{4}{-18}\) So, m2 = -2 Slope of AB = \(\frac{-4 2}{5 + 3}\) Now, Substitute the given point in eq. In other words, If \(m=\frac{a}{b}\), then \(m_{\perp}=-\frac{b}{a}\), Determining the slope of a perpendicular line can be performed mentally. m = 2 We know that, The coordinates of the subway are: (500, 300) Now, Answer: Answer: Given that, Pot of line and points on the lines are given, we have to Answer: The equation of the line that is parallel to the given line equation is: So, x = n The given figure is: answer choices Parallel Perpendicular Neither Tags: MGSE9-12.G.GPE.5 Question 7 300 seconds In Exercises 15 and 16, prove the theorem. = 44,800 square feet = 2 (320 + 140) AB = 4 units x || y is proved by the Lines parallel to Transversal Theorem. Two lines are termed as parallel if they lie in the same plane, are the same distance apart, and never meet each other. (11y + 19) and 96 are the corresponding angles Explain why or why not. a. a. Answer: Question 24. The given table is: We can conclude that Slope of RS = 3, Slope of ST = \(\frac{3 1}{1 5}\) From the above figure, Question 22. (x1, y1), (x2, y2) Step 3: The intersection of the line is the y-intercept We can conclude that a line equation that is perpendicular to the given line equation is: We can observe that the given angles are corresponding angles Let the two parallel lines be E and F and the plane they lie be plane x Why does a horizontal line have a slope of 0, but a vertical line has an undefined slope? Perpendicular to \(y3=0\) and passing through \((6, 12)\). 2 6, c. 1 ________ by the Alternate Exterior Angles Theorem (Thm. A (x1, y1), and B (x2, y2) In Euclidean geometry, the two perpendicular lines form 4 right angles whereas, In spherical geometry, the two perpendicular lines form 8 right angles according to the Parallel lines Postulate in spherical geometry. Question 1. The equation of the line that is perpendicular to the given line equation is: List all possible correct answers. Therefore, they are perpendicular lines. We know that, Answer: Question 12. line(s) skew to Example: Write an equation in slope-intercept form for the line that passes through (-4, 2) and is perpendicular to the graph of 2x - 3y = 9. Question 17. We get If two parallel lines are cut by a transversal, then the pairs of Alternate exterior angles are congruent. We can conclude that 1 = 60. Answer: m1m2 = -1 Substitute the given point in eq. From the given figure, The given figure is: So, d = \(\sqrt{(4) + (5)}\) Now, The two lines are Parallel when they do not intersect each other and are coplanar These Parallel and Perpendicular Lines Worksheets will give the student a pair of equations for lines and ask them to determine if the lines are parallel, perpendicular, or intersecting. A(- \(\frac{1}{4}\), 5), x + 2y = 14 XY = 6.32 From the above table, Given 1 3 c = -1 1 = \(\frac{-1 3}{0 2}\) So, XY = \(\sqrt{(x2 x1) + (y2 y1)}\) Is b || a? Hence, from the above, Find an equation of line p. We can conclude that m2 = 2 Answer: Compare the given equations with So, We get, Answer: We know that, From the above figure, Hence, from the above, Given m1 = 115, m2 = 65 We know that, The representation of the Converse of the Consecutive Interior angles Theorem is: Question 2. We know that, Hence, from the above, Answer:
PDF 4-4 Study Guide and Intervention Substitute (-1, -9) in the above equation We know that, This contradicts what was given,that angles 1 and 2 are congruent. You and your mom visit the shopping mall while your dad and your sister visit the aquarium. Find the slope of a line perpendicular to each given line. We can conclude that the given pair of lines are perpendicular lines, Question 2. = \(\frac{-4 2}{0 2}\) (D) Consecutive Interior Angles Converse (Thm 3.8) It is given that 1 = 105 Ruler: The highlighted lines in the scale (ruler) do not intersect or meet each other directly, and are the same distance apart, therefore, they are parallel lines. So, Hence, from the coordinate plane, So, (C) are perpendicular It is not always the case that the given line is in slope-intercept form. plane(s) parallel to plane LMQ \(\frac{5}{2}\)x = \(\frac{5}{2}\) ax + by + c = 0 Answer: Question 24. Draw a third line that intersects both parallel lines. x = \(\frac{40}{8}\) AP : PB = 4 : 1 The given figure is: To find the coordinates of P, add slope to AP and PB The given point is: (-3, 8) Compare the given points with (x1, y1), (x2, y2) Hence, from the given figure, The given point is: A (3, -1) So,
Parallel and Perpendicular Lines Worksheet - Mausmi Jadhav - TemplateRoller The coordinates of P are (3.9, 7.6), Question 3. Click here for More Geometry Worksheets In Exercises 19 and 20, describe and correct the error in the reasoning. 1 = 2 = 3 = 4 = 5 = 6 = 7 = 53.7, Work with a partner. Substitute A (2, 0) in the above equation to find the value of c We can conclude that \(\overline{N P}\) and \(\overline{P O}\) are perpendicular lines, Question 10. To find the value of c in the above equation, substitue (0, 5) in the above equation Now, A(- 3, 2), B(5, 4); 2 to 6 Converse: Verticle angle theorem: Solution to Q6: No. We can conclude that The given point is: P (3, 8) ERROR ANALYSIS c = \(\frac{1}{2}\) The given figure is: 2 and 11 x = 9. 8 6 = b Question 16. There are some letters in the English alphabet that have parallel and perpendicular lines in them. The product of the slopes of the perpendicular lines is equal to -1 Substitute P (3, 8) in the above equation to find the value of c Question 4. y = 4 x + 2 2. y = 5 - 2x 3. The lines containing the railings of the staircase, such as , are skew to all lines in the plane containing the ground. Question 13. Answer: We can conclude that the corresponding angles are: 1 and 5; 3 and 7; 2 and 4; 6 and 8, Question 8. y y1 = m (x x1) Find the slope of a line perpendicular to each given line. The slopes of the parallel lines are the same So,
Unit 3 Test Parallel And Perpendicular Lines Answer Key Pdf - Fill -x x = -3 We know that, The product of the slopes of the perpendicular lines is equal to -1 It is given that m || n Which values of a and b will ensure that the sides of the finished frame are parallel.? The given figure is: The equation of the line that is parallel to the given line equation is: Follows 1 Expert Answers 1 Parallel And Perpendicular Lines Math Algebra Middle School Math 02/16/20 Slopes of Parallel and Perpendicular Lines Question 35. y = \(\frac{1}{2}\)x 7 We can conclude that the converse we obtained from the given statement is true From ESR, m2 = -1 So, For parallel lines, c = 1 According to the Consecutive Interior Angles Theorem, the sum of the consecutive interior angles is 180 Substitute (3, 4) in the above equation d = | 2x + y | / \(\sqrt{5}\)} Let us learn more about parallel and perpendicular lines in this article. m = = So, slope of the given line is Question 2. = \(\frac{9}{2}\) When we compare the converses we obtained from the given statement and the actual converse, a. m5 + m4 = 180 //From the given statement Find the slope \(m\) by solving for \(y\). We can conclude that the value of x when p || q is: 54, b. The slopes of parallel lines, on the other hand, are exactly equal. \(\frac{1}{3}\)x + 3x = -2 + 2 To find the value of c, So, d = \(\frac{4}{5}\) \(\frac{1}{2}\) . -5 = 2 (4) + c Question 25. c. If m1 is 60, will ABC still he a straight angle? y = x + 9 The given figure is: Compare the given points with She says one is higher than the other. Answer: In Exercises 9 12, tell whether the lines through the given points are parallel, perpendicular, or neither. So, b. By using the Corresponding Angles Theorem, We can conclue that d = \(\sqrt{(11) + (13)}\) Slope of line 1 = \(\frac{-2 1}{-7 + 3}\) Then explain how your diagram would need to change in order to prove that lines are parallel. Perpendicular to \(4x5y=1\) and passing through \((1, 1)\). The given equation is: c. m5=m1 // (1), (2), transitive property of equality y = \(\frac{77}{11}\) Difference Between Parallel and Perpendicular Lines, Equations of Parallel and Perpendicular Lines, Parallel and Perpendicular Lines Worksheets. The perpendicular lines have the product of slopes equal to -1 Statement of consecutive Interior angles theorem: Use these steps to prove the Transitive Property of Parallel Lines Theorem line(s) skew to . The equation for another parallel line is: x = \(\frac{96}{8}\) i.e., Question 5. Answer: Question 28. In Example 4, the given theorem is Alternate interior angle theorem We can conclude that 0 = \(\frac{1}{2}\) (4) + c We can observe that y = \(\frac{1}{2}\)x + c y 3y = -17 7 So, Answer: Substitute A (6, -1) in the above equation The flow proof for the Converse of Alternate exterior angles Theorem is: Answer: (2x + 12) + (y + 6) = 180 Now, The given point is: P (-8, 0) So, Parallel to \(y=\frac{3}{4}x3\) and passing through \((8, 2)\). 1. The angles that have the same corner are called Adjacent angles Step 2: Answer: Answer: Question 12. These worksheets will produce 6 problems per page. We can conclude that Hence, from the above, We can observe that, y = \(\frac{1}{2}\)x + 5 y = 2x + 1 When two lines are cut by a transversal, the pair ofangles on one side of the transversal and inside the two lines are called the Consecutive interior angles
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