Perpendicular and Parallel Line Segments
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1 10 Chapter Lesson 10.1 erpendicular and arallel Line Segments Drawing erpendicular Line Segments Use a protractor to draw perpendicular line segments. 1. Draw a line segment perpendicular to Q at point. Q 2. Draw a line segment perpendicular to RS through point T. S R T 3. Draw a line segment perpendicular to WX at point Y. W Y X Extra ractice 4B 53
2 Use a drawing triangle to draw perpendicular line segments. 4. Draw a line segment perpendicular to AB through point C. A C B 5. Draw a line segment perpendicular to Q at point R. Then draw another line segment perpendicular to Q through point S. Q R S 6. Draw a line segment perpendicular to GH at point H. Label the line segment FH. Then join points F and G. What shape did you form? G H 54 Chapter 10 Lesson 10.1
3 Lesson 10.2 Drawing arallel Line Segments Use a drawing triangle and a straightedge to draw parallel line segments. 1. Draw a line segment parallel to CD through point E. E C D 2. Draw a line segment parallel to XY through point V. X Y V 3. Draw a line segment parallel to Q through point R. Q R Extra ractice 4B 55
4 Use a drawing triangle and a straightedge to draw parallel line segments. 4. Draw a line segment parallel to Q through point R. Then draw another line segment parallel to Q through point M. Are the two line segments you drew parallel to each other? M Q R 5. Draw a line segment parallel to HG at point F. Then draw another line segment parallel to FG at point H. Extend each line segment until they meet. What shape did you form? H G F 56 Chapter 10 Lesson 10.2
5 Lesson 10.3 Horizontal and Vertical Lines Name the line segments in the given figures. S R M K Q N 1. The horizontal line segments are. 2. The vertical line segments are. 3. A B F E D C The horizontal line segments are. The vertical line segments are. 4. H J I L M G K O N The horizontal line segments are. The vertical line segments are. Extra ractice 4B 57
6 Name the line segments in the given figure. 5. Q R U V T S The horizontal line segments are. The vertical line segments are. Draw line segments. Then answer the question. 6. AB is a horizontal line segment. Draw a vertical line segment at point B and label it BC. A B 7. XY is a vertical line segment. Draw a horizontal line segment at point Y and label it YZ. X 8. What do you know about the relationship between vertical line segments and horizontal line segments drawn on the same sheet of paper? Y 58 Chapter 10 Lesson 10.3
7 ut On Your Thinking Cap! Use a protractor, or a drawing triangle and a straightedge, to name three pairs of line segments that are I C M F A Y K Z H E L D G J 1. perpendicular: 2. parallel: B Extra ractice 4B 59
8 This is a map of Georgina s neighborhood. Georgina s House 12 th Street Great River Road 15 th Avenue Houston Street 8 th Street 5 th Avenue Fill in the blanks. 3. Which road is perpendicular to the road in front of Georgina s house and nearest to her house? 4. Name the roads that are parallel to 15 th Avenue. 5. Name the four roads that are perpendicular to 12 th Street. 60 Chapter 10 ut On Your Thinking Cap!
9 Solve. These figures are made from matchsticks. The number of right angles in each figure forms a pattern. Figure 1 Figure 2 Figure 3 Figure 1 has 2 right angles. Figure 2 has 8 right angles. Figure 3 has 14 right angles. 6. Draw Figure 4 and state the number of right angles it has. 7. How many right angles are there in Figure 6? What is the pattern formed by the number of right angles? right angles right angles Extra ractice 4B 61
10 Use the pattern you found on the previous page to complete the table. 8. Figure Number Number of Right Angles How many right angles will there be in the 20 th figure? right angles 10. State the number of right angles in the n th figure. right angles 62 Chapter 10 ut On Your Thinking Cap!
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