# Lesson 9.1 Skills Practice

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1 Lesson 9.1 Skills Practice Name Date Earth Measure Introduction to Geometry and Geometric Constructions Vocabulary Write the term that best completes the statement. 1. means to have the same size, shape, and measure. 2. In geometry, a construction can also be called a(n). 3. A(n) is a ruler with no numbers. 4. is the study of shapes and measurement. 5. When you a geometric figure, the figure is created with the use of tools such as a ruler, straightedge, compass, or protractor. 6. are line segments that have the same length. 7. A(n) is described as a straight continuous arrangement of an infinite number of points. 8. A(n) is part of a circle, or the curve between two points on a circle. 9. A(n) is a tool used to create arcs and circles. 10. When you a geometric figure, the figure is created without the use of tools. 11. The point at which two or more lines or arcs intersect or cross is called a(n). 12. A(n) is described as a location in space, and it has no size or shape. 13. are two or more lines that are located in the same plane. Chapter 9 Skills Practice 695

2 Lesson 9.1 Skills Practice page A(n) can be used to approximate the measure of an angle. 15. A(n) is a portion of a line that includes two points and the points between those two points. 16. The points where a line segment begins and ends are called the. 17. When you a geometric figure, the figure is created using only a compass and a straightedge. 18. A(n) is described as a flat surface with an infinite length and width but no depth. 19. Lines that are not located in the same plane are called. Problem Set Make a sketch and a drawing of each given figure. 1. Sketch Drawing Answers may vary Chapter 9 Skills Practice

3 Lesson 9.1 Skills Practice page 3 Name Date Chapter 9 Skills Practice 697

4 Lesson 9.1 Skills Practice page 4 6. Construct each circle with the given radius and center. 7. Construct a circle using AB as the radius and A as the center. A B 698 Chapter 9 Skills Practice

5 Lesson 9.1 Skills Practice page 5 Name Date 8. Construct a circle using CD as the radius and D as the center. D C 9. Construct a circle using EF as the radius and F as the center. E F 10. Construct a circle using GH as the radius and H as the center. G H Chapter 9 Skills Practice 699

6 Lesson 9.1 Skills Practice page Construct a circle using JK as the radius and K as the center. J K 12. Construct a circle using LM as the radius and L as the center. L M Construct each arc using the given information. 13. Construct an arc using AB as the radius and A as the center. Make the arc approximately one inch long and make sure it does not pass through B. Answers will vary. A B 700 Chapter 9 Skills Practice

7 Lesson 9.1 Skills Practice page 7 Name Date 14. Construct an arc using CD as the radius and D as the center. Make the arc approximately one inch long and make sure it does not pass through C. C D 15. Construct an arc using EF as the radius and E as the center. Make the arc approximately one inch long and make sure it does not pass through F. E F 16. Construct an arc using GH as the radius and H as the center. Make the arc approximately one inch long and make sure it passes through G. G H Chapter 9 Skills Practice 701

8 Lesson 9.1 Skills Practice page Construct an arc using JK as the radius and K as the center. Make the arc approximately one inch long and make sure it passes through J. J K 18. Construct an arc using LM as the radius and L as the center. Make the arc approximately one inch long and make sure it passes through M. L M Construct each line segment using the given information. 19. Duplicate AB. A A B B 702 Chapter 9 Skills Practice

9 Lesson 9.1 Skills Practice page 9 Name Date 20. Duplicate CD. C D 21. Duplicate EF. E F 22. Construct a line segment that is twice the length of JK. J K Chapter 9 Skills Practice 703

10 Lesson 9.1 Skills Practice page Construct a line segment that is twice the length of PQ. P Q 24. Construct a line segment that is three times the length of WX. W X 704 Chapter 9 Skills Practice

11 Lesson 9.2 Skills Practice Name Date Angles and More Angles Measuring and Constructing Angles Vocabulary Match each definition to its corresponding term. 1. an angle whose measure is greater than 0, but less than 90 a. ray 2. to divide into two equal parts b. angle 3. a portion of a line that begins at a point and extends infinitely in one direction 4. a ray that is drawn through the vertex of an angle and divides the angle into two congruent angles c. vertex d. sides of an angle 5. an angle whose measure is equal to 180 e. degrees 6. two rays that share a common endpoint to form an angle f. acute angle 7. a unit of measure for angles g. right angle 8. formed by two rays that share a common endpoint h. obtuse angle 9. an angle whose measure is greater than 90, but less than 180 i. straight angle 10. the common endpoint of the two rays that form an angle j. congruent angles 11. two or more angles that have equal measures k. bisect 12. an angle whose measure is equal to 90 l. angle bisector Chapter 9 Skills Practice 705

12 Lesson 9.2 Skills Practice page 2 Problem Set Use a protractor to draw each angle with the given measure angle angle angle angle angle angle 706 Chapter 9 Skills Practice

13 Lesson 9.2 Skills Practice page 3 Name Date angle angle Construct each angle using a compass and straightedge. 9. Construct an angle that is congruent to /A. A A' 10. Construct an angle that is congruent to /B. B Chapter 9 Skills Practice 707

14 Lesson 9.2 Skills Practice page Construct an angle that is congruent to /C. C 12. Construct an angle that is congruent to /D. D 13. Construct an angle that is twice the measure of /E. E 708 Chapter 9 Skills Practice

15 Lesson 9.2 Skills Practice page 5 Name Date 14. Construct an angle that is twice the measure of /F. F Construct the angle bisector of each given angle using a compass and straightedge. 15. Construct the bisector of /G. G 16. Construct the bisector of /H. H Chapter 9 Skills Practice 709

16 Lesson 9.2 Skills Practice page Construct the bisector of /J. J 18. Construct the bisector of /K. K 710 Chapter 9 Skills Practice

17 Lesson 9.2 Skills Practice page 7 Name Date 19. Construct an angle that is one-fourth the measure of /M. M 20. Construct an angle that is one-fourth the measure of /N. N Chapter 9 Skills Practice 711

18 712 Chapter 9 Skills Practice

19 Lesson 9.3 Skills Practice Name Date Special Angles Complements, Supplements, Midpoints, Perpendiculars, and Perpendicular Bisectors Vocabulary Draw an example of each term. Provide an explanation when necessary. 1. supplementary angles 2. complementary angles 3. perpendicular 4. midpoint of a segment 5. segment bisector 6. perpendicular bisector Chapter 9 Skills Practice 713

20 Lesson 9.3 Skills Practice page 2 7. adjacent angles 8. linear pair 9. vertical angles Problem Set Calculate the measure of an angle that is complementary to each given angle angle angle angle 4. 5 angle angle angle angle angle 714 Chapter 9 Skills Practice

21 Lesson 9.3 Skills Practice page 3 Name Date Calculate the measure of an angle that is supplementary to the given angle angle angle angle angle angle angle angle angle Perform each given construction. 17. Construct a line perpendicular to the given line through point A. A Chapter 9 Skills Practice 715

22 Lesson 9.3 Skills Practice page Construct a line perpendicular to the given line through point B. B 19. Construct a line perpendicular to the given line through point C. C 716 Chapter 9 Skills Practice

23 Lesson 9.3 Skills Practice page 5 Name Date 20. Construct a line perpendicular to the given line through point D. D 21. Construct the perpendicular bisector of EF. E F Chapter 9 Skills Practice 717

24 Lesson 9.3 Skills Practice page Construct the perpendicular bisector of GH. G H 23. Construct the midpoint of JK. J K 718 Chapter 9 Skills Practice

25 Lesson 9.3 Skills Practice page 7 Name Date 24. Construct the midpoint of LM. L M Identify the angle pairs in each given diagram. 25. Name all pairs of adjacent angles in the diagram shown. /1 and /2, /2 and /3, /3 and /4, /4 and / Chapter 9 Skills Practice 719

26 Lesson 9.3 Skills Practice page Name all pairs of adjacent angles in the diagram shown Name all pairs of adjacent angles in the diagram shown Chapter 9 Skills Practice

27 Lesson 9.3 Skills Practice page 9 Name Date 28. Name all pairs of adjacent angles in the diagram shown Name all linear pairs in the diagram shown Chapter 9 Skills Practice 721

28 Lesson 9.3 Skills Practice page Name all linear pairs in the diagram shown Name all linear pairs in the diagram shown Chapter 9 Skills Practice

29 Lesson 9.3 Skills Practice page 11 Name Date 32. Name all linear pairs in the diagram shown Name all vertical angle pairs in the diagram shown Chapter 9 Skills Practice 723

30 Lesson 9.3 Skills Practice page Name all vertical angle pairs in the diagram shown Chapter 9 Skills Practice

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