9.1. Practice B For use with pages E L. Match the sentence with its correct answer. Identify and name the line, ray, orsegment.
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1 9.1 For use with pages esson 9.1 Match the sentence with its correct answer. 1. A line has? endpoint(s). A. 0 B. 1 C. 2 D A ray has? endpoint(s). A. 0 B. 1 C. 2 D A segment has? endpoint(s). A. 0 B. 1 C. 2 D A pair of intersecting lines meet at? point(s). A. 0 B. 1 C. 2 D A pair of parallel lines meet at? point(s). A. 0 B. 1 C. 2 D. 3 Identify and name the line, ray, orsegment U A T B X Y Use the diagram at the right points. M rays lines. 12. a segment that has P as an endpoint. P R N O 13. MN &&( in another way. Use the diagram at the right. 14. Which lines are intersecting? 15. Which lines are parallel? 16. What is another way to write XY &(? ^ WZ &(? X Y W U Sketch the figure described. 17. ED&( 18. WX && 20. parallel lines AB ^&( and ^&( DE V 19. ^&( JK 21. intersecting lines AB ^&( and AC ^&( Z On a map or drawing, decide whether the object is best modeled by a point, a segment, a line, or a ray. 22. a street 23. a house 24. the horizon 6 McDougal ittell Math, Course 1 Copyright McDougal ittell/houghton Mifflin Company
2 9.2 For use with pages the angle in three ways. 1. M P X Z U N Y V W Use a protractor to draw an angle that has the given measure Use estimation to name an angle that has the given measure Use a protractor to draw and label an angle formed by BA&( and BC&(, that has a measure of 10. B C D A F E esson 9.2 The diagram shows a ladder leaning against a building. Use a protractor to measure the angle the ladder makes with the ground Tell whether the angle measure is between 0 and 45, 45 and 90, 90 and 135, or 135 and 180. Then estimate the measure of the angle. 18. J 19. W 20. G I K X Y H Copyright McDougal ittell/houghton Mifflin Company McDougal ittell Math, Course 1 15
3 9.3 For use with pages Estimate to classify the angle as acute, right, obtuse, or straight Use the diagram at the right. 5. a pair of vertical angles. 6. a pair of complementary angles. A 43 E 7. a pair of supplementary angles. C H D B Use the diagram from Exercises 5 7. Find the angle measure. 8. madhe 9. madha 10. mabhc 11. mache 12. mabhd 13. mabha Tell whether the angle measures represent angles that are complementary, supplementary, orneither , , , 74 esson 9.3 In Exercises 17 20, use a protractor. 17. Draw vertical angles that are right angles. 18. Draw vertical angles that are acute. abel them a1 anda Draw an angle complementary to an angle measuring Draw an angle supplementary to an angle measuring 52. a pair of vertical angles. Find the measure of a1, a2, and a Find the value of x McDougal ittell Math, Course 1 Copyright McDougal ittell/houghton Mifflin Company
4 9.4 For use with pages Complete the statement. 1. An equilateral triangle has? side(s) of equal length. 2. A scalene triangle has? side(s) of equal length. 3. An isosceles triangle has? side(s) of equal length. 4. An acute triangle has? obtuse angle(s). 5. An obtuse triangle has? acute angle(s). 6. The sum of the angle measures of a triangle is? degrees. Classify the triangle by its angles Classify the triangle by its sides mm 4 mm 12 in. 12 in. 6 mm 12 in. 5 yd 7 yd 4 yd Find the value of x Tell whether the angle measures are those of a triangle. If so, classify the triangle as acute, right, or obtuse , 21, , 55, 89 esson 9.4 Use a protractor to draw the triangle described. 18. acute scalene 19. obtuse isosceles 38 McDougal ittell Math, Course 1 Copyright McDougal ittell/houghton Mifflin Company
5 9.5 For use with pages esson 9.5 Copy and complete the statement. 1. A? is a quadrilateral with 2 pairs of parallel sides. 2. A rhombus is a parallelogram with 4 sides of? length. 3. A? is a plane figure formed by 4 segments called sides. 4. A square is a parallelogram with 4? angles and? sides of equal length. 5. A rectangle is a parallelogram with? right angles. Copy and complete the statement by using All or Some. 6.? quadrilaterals are parallelograms. 7.? squares are rhombuses. 8.? rhombuses are quadrilaterals. 9.? rectangles are squares. Classify the quadrilateral in as many ways as possible Draw a parallelogram that is not a rectangle. The sum of the angles of a quadrilateral is 360. Use this information to find the value of x In Exercises 17 and 18, use the picture at the right that shows the pattern for a quilt. Assume that relationships among segments in the design are as they appear. 17. Identify the numbered quadrilaterals. 18. What type of quadrilateral is the entire object? Copyright McDougal ittell/houghton Mifflin Company McDougal ittell Math, Course 1 49
6 9.6 For use with pages esson 9.6 Match the polygon with its correct number of sides. 1. triangle A. 5 sides 2. quadrilateral B. 8 sides 3. pentagon C. 3 sides 4. hexagon D. 4 sides 5. octagon E. 6 sides Classify the polygon and tell whether it is regular How many diagonals can be drawn from one vertex of a regular octagon? Use supplementary angles to find the value of x Graph the points on a coordinate grid and connect them in order to form a polygon. Then, classify the polygon. 12. A(1, 6), B(1, 1), C(6, 1) 13. A(3, 2), B(2, 4), C(5, 7), D(8, 4), E(7, 2) 14. A(1, 1), B(7, 1), C(6, 8), D(3, 7) 15. A regular pentagon has a side length of 7 feet. What is the perimeter of this regular pentagon? 16. The perimeter of a regular hexagon is 54 millimeters. What is the length of each side of this hexagon? 60 McDougal ittell Math, Course 1 Copyright McDougal ittell/houghton Mifflin Company
7 9.7 For use with pages The two figures are congruent. Find the values of x and y in in. 5 mm 9 in. x 2 in. y 6 mm 9 in. x 2 in. Tell whether the triangles are similar, congruent, or neither in. 6 in. 12 in. 6 in. 12 in. 8 in. 3 mm 5 mm y ist the corresponding parts of the triangles. 5. E W X 6. R esson 9.7 P N F G Y S T In Exercises 7 10, tell whether the statement is true or false. 7. If TBCD is congruent to TFGH, then ab corresponds to af. 8. If TBCD is similar to TFGH, thenab has the same measure as af. 9. If TBCD is similar to TFGH, thencd & is the same length as GH &&. 10. If TBCD is congruent to TFGH, thencd & is the same length as GH &&. 11. TRST and TXYZ are similar. ist the corresponding parts. Then find mas and maz. S 117 R T 39 Y X Z Copyright McDougal ittell/houghton Mifflin Company McDougal ittell Math, Course 1 69
8 9.8 For use with pages Tell whether the line shown is a line of symmetry Tell whether the figure has line symmetry. If so, draw the line of symmetry Find the number of lines of symmetry esson 9.8 Complete the figure so that it has the line of symmetry shown Give an example of a letter of the alphabet that has one line of symmetry. 14. Give an example of a letter of the alphabet that has two lines of symmetry. 15. Draw a figure that has one line of symmetry. 16. Draw a figure that has two lines of symmetry. 78 McDougal ittell Math, Course 1 Copyright McDougal ittell/houghton Mifflin Company
9 C H A P T E R 9 Cumulative Practice For use after Chapter 9 Evaluate the expression. (esson 1.4) Make a line graph of the prices of one-half gallon of ice cream. (esson 2.6) Year Price $2.59 $2.62 $2.68 $2.94 $3.02 $3.30 $3.40 $3.66 Find the mean, median, mode(s), and range of the data. (esson 2.8) 8. 50, 51, 50, 53, 53, 47, , 84, 83, 79, 78, 82 Order the numbers from least to greatest. (esson 3.3) , 5.9, 5, , 3.12, , 2.05, 2.15, 1.98 Round the decimal as specified. (esson 3.4) (nearest tenth) (nearest hundredth) (nearest thousandth) (nearest one) Copy and complete the statement. (esson 4.2) 17. 6(7 50)? (7)? (50) 18. 9(41) 9(? 1) Find the product or quotient using mental math. (esson 4.5) Find the GCF and CM of the numbers. (essons 5.2, 5.4) 25. 7, , , , 30 Copy and complete the statement with <, >, or. (essons 5.5, 5.6) ? ? ? ? 5 4 Review and Projects Copyright McDougal ittell/houghton Mifflin Company McDougal ittell Math, Course 1 93
10 C H A P T E R 9 Continued Cumulative Practice For use after Chapter 9 Find the sum or difference. Simplify if possible. (essons 6.2, 6.3, 6.4, 6.5) Copy and complete the statement. Then tell whether the measurement is a weight, a capacity, or a length. (essons 7.6, 7.7) in.? yd? in pt? qt lb 5 oz? oz lb? T Write the unit rate. (esson 8.2) $3 270 pages ft 12 oz 9 chapters 4 h Write the number as a percent, a decimal, and a fraction. (essons 8.5, 8.6) hundredths hundredths tenths Use the diagram at the right. (essons ) 51. two rays. 52. the angle in three ways. 53. Use a protractor to measure the angle. 54. Classify the angle as acute, right, obtuse, or straight. K M Review and Projects 94 McDougal ittell Math, Course 1 Copyright McDougal ittell/houghton Mifflin Company
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