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Perpendicular and Parallel Line Segments Name: Date: r te p a h Perpendicular and C Parallel Line Segments Practice 1 Drawing Perpendicular Line Segments Use a protractor to draw perpendicular line segments. Example Draw a line segment perpendicular to RS through point T. S 0 180 10 1 70 160 20 150 30 140 40 130 50 0 120 180 6 0 10 11 0 170 70 20 100 30 160 80 40 90 80 150 50 70 60 140 100 130 110 120 R T © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 1. Draw a line segment perpendicular to PQ. P Q 2. Draw a line segment perpendicular to TU through point X. X U T 67 Lesson 10.1 Drawing Perpendicular Line Segments 08(M)MIF2015CC_WBG4B_Ch10.indd 67 4/30/13 11:18 AM Use a drawing triangle to draw perpendicular line segments. Example M L N K 3. Draw a line segment 4. Draw a line segment perpendicular to EF . perpendicular to CD. C E F D © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 5. Draw a line segment perpendicular to VW at point P. Then, draw another line segment perpendicular to VW through point Q. Q V P W Line Segments 68 and Parallel Chapter 10 Perpendicular 08(M)MIF2015CC_WBG4B_Ch10.indd 68 4/30/13 11:18 AM Name: Date: Practice 2 Drawing Parallel Line Segments Use a drawing triangle and a straightedge to draw parallel line segments. Example Draw a line segment parallel to AB . A B 1. Draw a pair of parallel line segments. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 69 Lesson 10.2 Drawing Parallel Line Segments 08(M)MIF2015CC_WBG4B_Ch10.indd 69 4/30/13 11:18 AM Use a drawing triangle and a straightedge to draw parallel line segments. 2. Draw a line segment parallel to CD through point M. C M D 3. Draw a line segment parallel to EF through point T. Then, draw another line segment parallel to EF through point S. E © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish S T F Line Segments 70 and Parallel Chapter 10 Perpendicular 08(M)MIF2015CC_WBG4B_Ch10.indd 70 4/30/13 11:18 AM Name: Date: Practice 3 Horizontal and Vertical Lines Answer the questions. 1. AB is perpendicular to BC . A C B If AB is a vertical line segment, what do you know about BC ? 2. a. DE is a vertical line segment. Draw a horizontal line segment through point D and label it DF . D © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish E b. What do you know about the angle formed by DE and DF ? 71 Lesson 10.3 Horizontal and Vertical Lines 08(M)MIF2015CC_WBG4B_Ch10.indd 71 4/30/13 11:18 AM Complete. 3. a. MN is a horizontal line segment. Draw a vertical line segment through point O to meet MN and label the point P. O M N b. What do you know about MN and OP ? c. How many right angles are formed by MN and OP ? 4. a. PQ is a horizontal line segment. Draw a vertical line segment at point P. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish Name it PR . Then draw a vertical line segment at point Q. Name it QS . P Q b. What do you know about PR and QS ? Check with a drawing triangle and a straightedge. Line Segments 72 and Parallel Chapter 10 Perpendicular 08(M)MIF2015CC_WBG4B_Ch10.indd 72 4/30/13 11:18 AM Name: Date: Complete. 5. a. AB is a horizontal line segment and CD is a vertical line segment. At point D, draw a line segment parallel to AB . Name it DE . D A B C b. What do you know about CD and DE ? Check with a drawing triangle. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 73 Lesson 10.3 Horizontal and Vertical Lines 08(M)MIF2015CC_WBG4B_Ch10.indd 73 4/30/13 11:18 AM Complete. 6. ABCD is a whiteboard fixed to the wall. A D B C Name the vertical and horizontal line segments on the whiteboard. Vertical line segments: Horizontal line segments: © Marshall Cavendish International (Singapore) Private Limited. 74 Chap ter 10 Perpendicular and Parallel Line Segments 08(M)MIF2015CC_WBG4B_Ch10.indd 74 4/30/13 11:18 AM Name: Date: Put On Your Thinking Cap! Challenging Practice In the figure, use a protractor, drawing triangle, and a straightedge to name three pairs of line segments that are H F G E A D BC 1. perpendicular. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 2. parallel. 75 Chapter 10 Perpendicular and Parallel Line Segments 08(M)MIF2015CC_WBG4B_Ch10.indd 75 4/30/13 11:18 AM Solve. PQ is a lamp post standing vertically on the ground. RS and UT are horizontal line segments on the ground passing through point Q. QT is perpendicular to QS. P R T Q U S 3. Identify two other pairs of line segments that are perpendicular. © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish 4. How many right angles are formed at point Q? Line Segments 76 and Parallel Chapter 10 Perpendicular 08(M)MIF2015CC_WBG4B_Ch10.indd 76 4/30/13 11:18 AM Name: Date: Put On Your Thinking Cap! Problem Solving The diagram shows a road with parallel curbs JK and LM . A J K road L M B 1. Danie is standing at point A and Alicia is standing at point B. They both want to cross the road. Use a drawing triangle to draw the shortest route each can take, and mark all the right angles like this . Measure the distance along each route. 2. What do you know about the distance between parallel line segments? © Marshall Cavendish International (Singapore) Private Limited. Private (Singapore) International © Marshall Cavendish Parallel line segments are always distance apart. 77 Chapter 10 Perpendicular and Parallel Line Segments 08(M)MIF2015CC_WBG4B_Ch10.indd 77 4/30/13 11:18 AM Solve. The cube is placed on a flat surface. G H B C F E A D 3. How many vertical line segments are there? 4. How many horizontal line segments are there? 5. How many right angles are there? © Marshall Cavendish International (Singapore) Private Limited. 78 Chap ter 10 Perpendicular and Parallel Line Segments 08(M)MIF2015CC_WBG4B_Ch10.indd 78 4/30/13 11:18 AM.
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