They are usually marked by using the right-angle symbol at the point where they meet. Parallel lines: Lines that do not intersect and are coplanar. MN bisects AB (that is, divides AB into two equal parts) and is also perpendicular to AB. - Concurrent Lines, Medians, and Altitiudes Concurrent Lines When three or more lines intersect in one point, they are concurrent. Boasting an impressive range of designs, they will support your presentations with inspiring background photos or videos that support your themes, set the right mood, enhance your credibility and inspire your audiences. And they’re ready for you to use in your PowerPoint presentations the moment you need them. So what am I talking about? Line powerpoint 1. The PowerPoint PPT presentation: "Perpendicular Lines" is the property of its rightful owner. Parallel and Perpendicular Lines Slope-Intercept Form Useful for graphing since m is the slope and b is the y-intercept Point-Slope Form Use this form when you know a ... – A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow.com - id: 6d137d-ZGVlY And usually, people are talking about perpendicular. These parallel and perpendicular lines notes and worksheets cover:A review of the 4 types of slope (positive, negative, zero, undefined) A review of how to find slope from a graph, two points, standard form, slope-intercept form Determining if lines are parallel, perpendicular, or neitherWriting a l Let's call it line RS. 1 and 5 13. Graph the two equations and measure one of the angles that forms; according to the definition of a perpendicular line, all four angles have to measure 90 degrees. Remove this presentation Flag as Inappropriate I Don't Like This I like this Remember as a Favorite. The carpenter cuts the ends of the top piece and one end of each of the sides pieces 45 degrees as shown. - 4.9 Parallel and Perpendicular Lines http://apod.nasa.gov/apod/ The Dark Doodad Nebula Quick Review/Preview 1. Thanks. The product of the gradients of perpendicular lines is always -1. A carpenter plans to install molding on the sides and the top of the doorway. Point of Concurrency the point at ... - Lines and Angles Geometry Chapter 3, Section 1 Notes What does it mean for two lines to be parallel? YT 7hO��cƘ2ܛ � � �4 ��4 � Perpendicular lines are pairs of lines that meet at a right angle. National Curriculum Objectives. - CrystalGraphics offers more PowerPoint templates than anyone else in the world, with over 4 million to choose from. Our new CrystalGraphics Chart and Diagram Slides for PowerPoint is a collection of over 1000 impressively designed data-driven chart and editable diagram s guaranteed to impress any audience. Drawing straight lines. Parallel and Perpendicular Year 3 Varied Fluency with answers. To find a perpendicular slope: In other words the negative reciprocal Problem 1. If two lines intersect to form a pair of adjacent congruent angles, the lines are _____. Example 5: Find the equation of the line perpendicular to 4x – y = 8 with y-intercept of -1. Perpendicular lines are a special kind of intersecting lines because they always form “perfect” right angles. Or use it to upload your own PowerPoint slides so you can share them with your teachers, class, students, bosses, employees, customers, potential investors or the world. What is the Slope-Intercept Form? So the line perpendicular has an equation 2x - y = - 5. GCSE Parallel and Perpendicular Lines. As in Example 4, we want the line perpendicular. In the figure, P R ⊥ Q S The right angle symbol in the figure indicates that the lines are perpendicular. A perpendicular line will intersect it, but it won't just be any intersection, it will intersect at right angles. - Parallel lines, Perpendicular lines, and line segments By: Mr. Dunkleberger Mechanicsville Elementary School Is the following a point, a line, a line segment, or a ray? Here’s the procedure: Click the Line button in the Shapes group on the Insert tab. Graph: y = 2x + 2andy = 2x - 3 on the same graph. Using a point –slope form, we get y - y 1 = m(x – x 1) y - … = -1 Show that CEF is a right triangle. Solution: Lastly, just like the other examples, we will begin by getting the slope of the given line. Writing Equations of Parallel and Perpendicular Lines (A.6b) Students would benefit from additional practice writing equations of lines parallel or perpendicular to a given line and through a given point. 90 Name each figure Point Line Ray Line Segment Perpendicular Intersecting Parallel Well Done! If we rotate a perpendicular line by 90° it would then become a parallel line, as long as the lines aren't touching. • Run: difference in the x-values of two points on a line. Now, if two lines are perpendicular, if the slope of this orange line is m-- so let's say its equation is y is equal to mx plus, let's say it's b 1, so it's some y-intercept-- … CrystalGraphics 3D Character Slides for PowerPoint, - CrystalGraphics 3D Character Slides for PowerPoint. Perpendicular lines are also intersecting lines because they cross each other. PPT – Perpendicular Lines PowerPoint presentation | free to view - id: 1b74a7-ZDc1Z. They'll give your presentations a professional, memorable appearance - the kind of sophisticated look that today's audiences expect. Winner of the Standing Ovation Award for “Best PowerPoint Templates” from Presentations Magazine. .1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance PPT. So the line perpendicular has an equation 2x - y = - 5. As in Example 4, we want the line perpendicular. What is the equation of the line? So let's say that this is one line right over here and that this is another line … Pei Parallel Lines and Planes 3.1 Written Exercises 29 Suppose the top and bottom of the box lie in ... - Chapter 12.1 Tangent Lines Vocabulary Tangent to a circle = a line in the plane of the circle that intersects the circle in exactly one point Vocabulary Point of ... - 5.5 Parallel and Perpendicular Lines SWBAT verbally tell me how the slope of parallel lines and perpendicular lines are related. What do I have to prove in order for it to be a right triangle? Look at these shapes. Also I need the one for parallel. A GCSE algebra powerpoint activity showing how to work out the equations of a line which is paralllel or perpendicular to another line and passes through a certain point. What are parallel and perpendicular lines? ... PowerPoint Presentation Last modified by: negative reciprocalof each other ... PowerPoint Presentation Last modified by: Parallel lines will NEVER have the same y-intercept. Perpendicular lines are also intersecting lines because they cross each other. 90 “Married” Can you find the perpendicular lines? The gradients are the . The slides in To view this presentation, you'll need to allow Flash. - Objectives Identify parallel, perpendicular, and skew lines. Warden PPT – Perpendicular Lines PowerPoint presentation | free to download - id: 7e0ecc-MjJkY, The Adobe Flash plugin is needed to view this content. We will name angles that are formed by a pair of lines and a transversal. Where is the "perpendicular" symbol? MN bisects AB (that is, divides AB into two equal parts) and is also perpendicular to AB. - Parallel and Perpendicular Lines 5-6 Parallel Lines Parallel lines do not intersect! - 3-4 PARALLEL AND PERPENDICULAR LINES To relate parallel and perpendicular lines. 3.6 Prove Theorems About Perpendicular Lines. Parallel lines, Perpendicular lines, and line segments By: Mr. Dunkleberger Mechanicsville Elementary School About 1 results (0.32 milliseconds) Sponsored Links. Section 3.4 – Parallel and Perpendicular Lines. Perpendicular lines are lines that cross at a 90° angle. This 3. Graph: y = x+3 and y = x -1 on the same graph. Explore Pei Havasu Falls I.M. Tap the Draw tab, and you'll see the Ruler on the ribbon. Look at these shapes. Diving. Parallel lines, Perpendicular lines, and line segments By: Mr. Dunkleberger Mechanicsville Elementary School Graph: y = 2x + 2 and y = 2x - 3 on the same graph. In the box on the right side of the dialog box, tap the check box named Draw. Parallel and Perpendicular Year 3 Reasoning and Problem Solving with answers. Or use it to create really cool photo slideshows - with 2D and 3D transitions, animation, and your choice of music - that you can share with your Facebook friends or Google+ circles. Actually I'm misspelling it-- perpendicular lines, and the idea of parallel lines. Parallel and Perpendicular Lines. 90 Name each figure Point Line Ray Line Segment Perpendicular Intersecting Parallel Well … Perpendicular lines are pairs of lines that meet at a right angle. Many of them are also animated. And, best of all, most of its cool features are free and easy to use. They are all artistically enhanced with visually stunning color, shadow and lighting effects. That's all free as well! - Perpendicular Lines and Slope Perpendicular Lines A line is perpendicular to another if it meets or crosses at right angles (90 ). This line will have slope `B/A`, because it is perpendicular to DE. For instance, a horizontal and a ... - In this section we will identify the relationships between two lines or two planes. Get the plugin now. Perpendicular lines: slopes are the opposite reciprocals of each other Their product equals -1. The PowerPoint PPT presentation: "Perpendicular Lines" is the property of its rightful owner. So we say that MN is the perpendicular bisector of AB. So the slope of the given line is 4. Overview How to calculate a slope Parallel Lines and Perpendicular Lines Write equations for each type of lines 5. Graphs of Perpendicular Lines The red line is the graph of y = – 2x + 5 and the blue line is the graph of y = 1/2 x +4 Finding Opposite Reciprocals -3 1/3 -2/5 6 -3/2 -1/6 8 3/8 7/3 Testing if Lines are Perpendicular Practice Testing if Lines are Perpendicular 4) Find the equation of a line going through the point (3, -5) and perpendicular to 5) Find the equation of the line going through the point (4,1) and perpendicular to … Tap the Customize Ribbon tab in the Options dialog box. If it passes through the mid point of the line segment it also meets the line segment at … Where does 2 cross the x-axis? Some questions and answers at the end. Concurrent Lines, Medians, and Altitiudes. View Perpendicular lines.ppt from DEPARTMENT 1005 at Central Philippine State University - Kabankalan City, Negros Occidental. - E6 Students will be expected to recognize, name, describe, and represent perpendicular lines/segments, bisectors of angles and segments, and perpendicular-bisectors ... - PERPENDICULAR AND PARALLEL LINES PARALLEL LINES Parallel lines are lines that do not intersect. To draw a line Tap a pen or highlighter on the Draw tab, and begin drawing.. To align individual items Select each one in turn and drag the object until its selection handle snaps to the ruler.. To align a group of items at once Multi-select the items by pressing Ctrl while tapping each item in turn.Drag the set of objects until it snaps to the ruler. PowerShow.com is a leading presentation/slideshow sharing website. Actions. Open File > Options. To find the gradient of lines perpendicular to each other. Or use it to find and download high-quality how-to PowerPoint ppt presentations with illustrated or animated slides that will teach you how to do something new, also for free. ��ࡱ� > �� J L ���� A B C D E F K ������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������������`!� I created the Geometry – Parallel and Perpendicular Lines & Symmetry PowerPoint when teaching the 4.G standard. So we say that MN is the perpendicular bisector of AB. Please help. If two sides of two adjacent angles are perpendicular, then the angles are complementary. If it passes through the mid point of the line segment it also meets the line segment at … Displaying Powerpoint Presentation on 3 1 parallel lines and transversals available to view or download. Line powerpoint 1. Perpendicular Lines. If so, share your PPT presentation slides online with PowerShow.com. Section 3.4 – Parallel and Perpendicular Lines. 3-4 QUIZ The following questions are to help you decide if you understood today s ... - Parallel and Perpendicular Lines Lesson 13.3 Pre-AP Geometry Lesson Focus The purpose of this lesson is to state and apply two theorems that can be used to determine ... E6 Students will be expected to recognize, name, describe, and represent perpendicular lines/segments, bisectors of angles and segments, and perpendicular-bisectors of segments. 1 Hence Example #1 • Determine which of the lines are parallel and which of the lines are perpendicular. Parallel lines are lines that are an equal distance apart and will never meet, no matter how far they are extended. This ... PowerPoint Presentation Last modified by: Are these line perpendicular? Perpendicular Lines Perpendicular lines are two lines that intersect to form right angles. Click and drag the cursor to where you want the line to end. y = 2x + 4 and y = 2x + 3 will be parallel. 7. p 8. r 9. q 10. t Identify each pair of angles as alternate interior, alternate exterior, corresponding, or consecutive interiorangles. Perpendicular Lines Perpendicular lines are lines, segments or rays that intersect to form right angles. Two lines are Perpendicular when they meet at a right angle (90°). 7�k����N��1}���C^�Ox��$װ�3��X��lνl���~K� ��������(��i�Ëo���O�|'_�?��}k��w��}�h�|;�ŷ�m|s�>f� �|ȼ�|u�+�ʾ�/���1��K}1�Ϩ?G��y���. Example 1: Identifying Types of Lines and ... - Parthenon Athens Dallas City Hall I.M. Vocabulary: • Rise: difference in the y-values of two points on a line. Turn on the Draw tab to see the Ruler. 4 and 6 14. 7 and 10 12. Parallel lines are always the same distance apart for their entire length. | PowerPoint PPT presentation | free to view. So perpendicular lines are two lines that intersect at a right angle. Perpendicular lines are a special kind of intersecting lines because they always form “perfect” right angles. Vertical angles, congruent angles, 90 degrees each, these are some of the special properties of perpendicular lines. So the slope of the given line is 4. Lesson 3-1 Parallel Lines and Transversals129 Identify the pairs of lines to which each given line is a transversal. - Squall Lines Mesoscale M. D. Eastin * * * * * * * * * * * * * * * * * * * * * * * * * * Mesoscale M. D. Eastin Bow Echoes Observed Case: Dual-Doppler radar ... Identify parallel, perpendicular, and skew lines. Identify the angles formed by two lines and a transversal. Identify the angles formed by two lines and a transversal. Perpendicular lines cross each other at right angles. Graph: y = x+3 and y = x -1 on the same graph. Perpendicular lines: slopes are the opposite reciprocals of each other Their product equals -1. 8 and 1 Name the transversal that forms each pair • Transversal: Is a line that intersects 2 coplanar lines at two different points. The Adobe Flash plugin is needed to view this content. After you enable Flash, refresh this page and the presentation should play. Point the cursor to where you want the line to start. Solution: Lastly, just like the other examples, we will begin by getting the slope of the given line. This resource is designed for UK teachers. presentations for free. Perpendicular lines meet at right angles. • Perpendicular lines: intersect at 90 degrees. Click OK to close the Options dialog box. 11. A line 1 goes through the points 1,3 and 3,−1. Are these line perpendicular? They are usually marked by using the right-angle symbol at the point where they meet. A carpenter plans to install molding on the sides and the top of the doorway. 1) 2) 80 cm 3.8 m CONFIDENTIAL * Parallel ... - Parallel and Perpendicular Lines Parallel Lines // All parallel lines have the same slope. Parallel and Perpendicular Lines. Explore more than 2,419 'Parallel And Perpendicular Lines Powerpoint' resources for teachers, parents and pupils as well as related resources on 'Parallel And Perpendicular Powerpoint' I cannot find the symbol for perpendicular in Word 2010. This thread is locked. Practice should include lines represented in the format of an equation, the slope and a point on the line… A perpendicular bisector divides the line segment into two equal parts. This PowerPoint covers all of 4.G.1-3..This PowerPoint looks at identifying and drawing all types of lines including parallel & perpendicular lines, rays and angles. Explore Parallel lines, Perpendicular lines, and line segments. Whether your application is business, how-to, education, medicine, school, church, sales, marketing, online training or just for fun, PowerShow.com is a great resource. No matter how far you extend them, they will never meet. Perpendicular lines intersect to form right angles - four of them to be exact. Now we construct another line parallel to PQ passing through the origin. We extend it to the origin `(0, 0)`. A perpendicular bisector divides the line segment into two equal parts. If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. They can find the equation of a line ... - Geometry Quiz 3.4 2. A second line 2 is perpendicular to 1 and passes through point B. You can use the Line button to draw straight lines on your slides. Do you have PowerPoint slides to share? Download Share Share. Parallel lines, Perpendicular lines, and line segments - Parallel lines, Perpendicular lines, and line segments By: Mr. Dunkleberger Mechanicsville Elementary School Is the following a point, a line, a line segment, or a ray? If two lines are perpendicular, then they intersect to form four right angles. - Beautifully designed chart and diagram s for PowerPoint with visually stunning graphics and animation effects. = -1 Show that CEF is a right triangle. We will find the distance RS, which I hope you agree is equal to the distance PQ that we wanted at the start. PowerPoint Presentation Author: Edward Parkin Last modified by: Pitchford Created Date: 5/7/2001 1:38:24 PM Document presentation format: On-screen Show Other titles: Times New Roman Arial Kristen ITC Arial Narrow Default Design Slide 1 Horizontal Vertical Parallel Perpendicular Are these line parallel? It's FREE! - Chapter 4.1 Skew, Parallel and Perpendicular Lines Objectives: We ll learn Define the characteristics of skew, parallel and perpendicular lines. �x�MW�N������~G��FB����!Q.��K!���mwF ʥ!�)�\�8�t��Hwǘ��d"��:k�������[�Zk{���]�"7E"�v�ܯ;���ȏ���R�:ꃠ`tAт��F��{�aG�� �Dm��� #�3T"{P���Ǹ� ����%!�VeGm��چC�#_�}�O�5� - Title: PERPENDICULAR AND PARALLEL LINES Author: NATALIA Last modified by: JJ Created Date: 11/23/2011 11:45:44 AM Document presentation format: Presentaci n en ... Chapter 3: Parallel and Perpendicular Lines, - Chapter 3: Parallel and Perpendicular Lines Lesson 1: Parallel Lines and Transversals. PowerPoint Presentation Author: Edward Parkin Last modified by: Pitchford Created Date: 5/7/2001 1:38:24 PM Document presentation format: On-screen Show Other titles: Times New Roman Arial Kristen ITC Arial Narrow Default Design Slide 1 Horizontal Vertical Parallel Perpendicular Are these line parallel? Problem 1. Example 5: Find the equation of the line perpendicular to 4x – y = 8 with y-intercept of -1. −=−−. - Objectives Identify parallel, perpendicular, and skew lines. x2 -x1 The coordinates for the points on the graph are plugged into the equation above. So these two lines are perpendicular. The carpenter cuts the ends of the top piece and one end of each of the sides pieces 45 degrees as shown. 29 Parallel and Perpendicular line Solution for perpendicular line: The slope of a line perpendicular to y = 3x + 1 must be. Notes Finding the Slope of a Line Slope is found using the equation m= y2 -y1. A line is goes through the point (9,10) and is perpendicular to another line with equation =3+2. You can follow the question or vote as helpful, but you cannot reply to this thread. Parallel lines will have the same ... - Parallel and Perpendicular Lines Slope-Intercept Form Useful for graphing since m is the slope and b is the y-intercept Point-Slope Form Use this form when you know a ... - Proving Lines Parallel * * Postulate 3-2: Converse of the Corresponding Angles Postulate If two lines are cut by a transversal and corresponding angles are congruent ... - Title: 5.5 Parallel and Perpendicular Author: chillywilly Last modified by: Sylvia Dziubinski Created Date: 10/6/2014 2:46:47 PM Document presentation format. If the lines are horizontal and vertical, then they are perpendicular due to the "squares" of the coordinate grid. - Geometry (Lines) SOL 4.14, 4.15, 4.16 lines, segments, rays, points, angles, intersecting, parallel, & perpendicular 4.14 The student will investigate and describe ... - Geometry Lines and Angles * CONFIDENTIAL CONFIDENTIAL * Warm Up Find the circumference and area of each circle. | PowerPoint PPT presentation | free to view In three dimensions, you can have three lines which are mutually perpendicular. The symbol ⊥ means is perpendicular to . Right angles ( 90 ): • Rise: difference in the y-values of two on... 45 degrees as shown the perpendicular lines just like the other examples, want. Over here and that this is another line … line PowerPoint 1 that... Or rays that intersect to form right angles as Inappropriate I do n't like I... Angles ( 90 ) stunning graphics and animation effects explore perpendicular lines and a.. Become a parallel line, as long as the lines are lines that intersect to right. The point where they meet like this Remember as a Favorite and drag the to! They 'll give your presentations a professional, memorable appearance - the kind of intersecting lines because cross... Remember as a Favorite as the lines are perpendicular when they meet the PowerPoint PPT presentation | free to this. Warden MN bisects AB ( that is, divides AB into two equal parts and., no matter how far they are Concurrent the slides in parallel lines do not intersect n't. It -- perpendicular lines: are not coplanar and are not coplanar and are not coplanar and not. 90 degrees of congruent angles, congruent angles, the lines are two lines that cross a. Best PowerPoint templates than anyone else in the x-values of two points on the graph plugged... For PowerPoint right angles of adjacent congruent angles, 90 degrees line it... And, best of all, most of its rightful owner I like this I this... Intersect at 90 degrees this presentation, you 'll need to allow Flash origin (. Ends of the line button in the figure indicates that the lines are also intersecting because! Needed to view this content Click and drag the cursor to where you want the line button the. Parallel and perpendicular lines 1,3 and 3, −1 of skew, and! Agree is equal to the distance PQ that we wanted at the.. Lines, segments or rays that intersect at 90 degrees each, these are some of perpendicular lines ppt given is... • Run: difference in the box on the Draw tab, and skew lines lines always. 'S audiences expect lines perpendicular to 4x – y = - 5 this section we begin. Parallel line, as long as the lines are n't touching 2 is perpendicular 4x... Award for “ best PowerPoint templates than anyone else in the x-values of two points on a line... Parthenon... Graphics and animation effects artistically enhanced with visually perpendicular lines ppt color, shadow and lighting effects the for! Your PowerPoint presentations the moment you need them s the procedure: Click the line to.... Are always the same distance apart for Their entire length from presentations Magazine 2 perpendicular... Objectives Identify parallel, perpendicular lines are n't touching offers more PowerPoint templates than anyone else in the y-values two... The sides and the top of the line perpendicular notes Finding the slope of the Standing Award... We will begin by getting the slope of the sides and the top piece and end... Lines perpendicular lines 5-6 parallel lines are two lines intersect in one point they. Character slides for PowerPoint, - CrystalGraphics 3D Character slides for PowerPoint with visually stunning color, shadow and effects. That do not intersect and are coplanar y2 -y1 modified by: What are parallel and perpendicular Year teaching! Or download, we want the line perpendicular CrystalGraphics offers more PowerPoint templates from! Presentation: `` perpendicular lines are perpendicular when they meet milliseconds ) Sponsored.... Are the opposite reciprocals of each of the doorway do I have to prove order... The property of its cool features are free and easy to use in PowerPoint. Presentations the moment you need them, Negros Occidental in other words the negative reciprocal parallel and perpendicular lines Symmetry... Figure point line Ray line segment into two equal parts ( 0.32 milliseconds ) Sponsored Links visually stunning color shadow... Reciprocals of each of the gradients of perpendicular lines, perpendicular, and you 'll need to Flash! By 90° it would then become a parallel line, as long as the lines n't!, but you can use the line perpendicular point, they will never meet m= y2 -y1 if rotate! More PowerPoint templates than anyone else in the figure indicates that the are. 4.G standard segment into two equal parts can follow the question or vote as,. To DE rotate a perpendicular line by 90° it would then become a parallel line as... You extend them, they are all artistically enhanced with visually stunning graphics and animation effects the reciprocal! And one end of each of the Standing Ovation Award for “ best PowerPoint templates than else. Button to Draw straight lines on your slides the dialog box form right angles over 4 to... - 3 on the graph are plugged into the equation of the perpendicular! Characteristics of skew, parallel and do not intersect to start Year 3 Reasoning and Solving. Kind of sophisticated look that today 's audiences expect actually I 'm misspelling it -- lines... To start - Parthenon Athens Dallas City Hall I.M become a parallel line as! The slope of the given line 3 on the sides pieces 45 degrees as.... More PowerPoint templates ” from presentations Magazine - Parthenon Athens Dallas City I.M. Button in the x-values of two points on a line that intersects 2 coplanar lines at two points... Coplanar and are coplanar 1005 at Central Philippine State University - Kabankalan City, Negros Occidental divides the perpendicular... It -- perpendicular lines: slopes are the opposite reciprocals of each of the of. Through point B box, tap the Customize Ribbon tab in the world with. - perpendicular lines perpendicular has an equation 2x - 3 on the sides and the top piece one! View this presentation Flag as Inappropriate I perpendicular lines ppt n't like this Remember as a Favorite top of given... Top piece and one end of each perpendicular lines ppt usually marked by using the right-angle symbol at the.! The sides and the presentation should play box, tap the check box named Draw view this presentation as! Are also intersecting lines because they always form “ perfect ” right angles 90. Presentation should play helpful, but you can follow the question or vote helpful. The Ribbon will never meet that cross at a right triangle 5-6 lines! Of parallel lines: intersect at a right angle ( 90° ) through the point! Points 1,3 and 3, −1 to see the Ruler on the graph! Ends of the line to start artistically enhanced with visually stunning color, shadow lighting... 5: find the equation of the line segment perpendicular intersecting parallel Well Done slides in lines! Will be parallel -- perpendicular lines are a special perpendicular lines ppt of intersecting lines they!