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NAME DATE PERIODLesson 1 Homework PracticeLinesFor Exercises 1–6, use the figure at the right. Inthe figure, line m is parallel to line n.N 124 3O58List all pairs of each type of angle.1. vertical679 102. complementary3. supplementary4. corresponding5. alternate interior6. alternate exteriorUse the figure at the right for Exercises 7–10.Copyright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.7. Find the measure of 2. Explain your reasoning.1 86 2 38. Find the measure of 3. Explain your reasoning.5 46 79. Find the measure of 4. Explain your reasoning.10. Find the measure of 6. Explain your reasoning.11. ALGEBRA Angles A and B are corresponding angles formed by two parallellines cut by a transversal. If m A 4x and m B 3x 7, find the valueof x. Explain.12. ALGEBRA Angles G and H are supplementary and congruent. If G and H arealternate interior angles, what is the measure of each angle?Course 3 Chapter 5 Triangles and the Pythagorean Theorem73
NAME DATEPERIODLesson 2 Homework PracticeGeometric ProofComplete a paragraph proof.1. Given: Two intersecting lines with m 1 6x 45 andm 3 9x 15Prove: x 102. Given: Lines a and b are perpendicular.Prove: 3 and 4 are complementary.3. Given: 1 and 2 are a linear pair; m 1 120 Prove: 2 is acute.Course 3 Chapter 5Triangles and the Pythagorean Theorem75
NAME DATEPERIODLesson 3 Homework PracticeAngles of TrianglesFind the value of x in each triangle.1.2.3.4.5.6.Find the missing measure in each triangle with the given angle measures.7. 45 , 35 , x 8. 100 , x , 40 9. x , 90 , 16 10. Find the third angle of a right triangle if one of the angles measures 24 ,11. What is the third angle of a right triangle if one of the angles measures 51 ?12. ALGEBRA Find m A in ABC if m B 38 and m C 38 ,13. ALGEBRA In XYZ, m Z 113 and m X 28 , What is m Y?Classify the marked triangle in each object by its angles and by its sides.14.15.16.ALGEBRA Find the value of x in each triangle.17.Course 3 Chapter 518.Triangles and the Pythagorean Theorem19.77
NAME DATE PERIODLesson 4 Homework PracticePolygons and AnglesFind the sum of the interior angle measures of each polygon.1. pentagon2. decagon3. 16-gon4. 18-gon5. 30-gon6. 34-gonFind the measure of one interior angle in each regular polygon.Round to the nearest tenth if necessary.7. pentagon8. octagon9. 24-gonALGEBRA For Exercises 10 and 11, determine the angle measures in eachpolygon.10.x 5x x 11.x 5x 135 Copyright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.x 135 x 12. FLOORING A floor is tiled with a pattern consisting ofregular octagons and squares as shown. Find the measureof each angle at the circled vertex. Then find the sum ofthe angles.13. ART Rachaunn is laying out a pattern for a stained glasswindow. So far he has placed the 13 regular polygons shown.Find the measure of each angle at the circled vertex. Thenfind the sum of the angles.14. REASONING Vanessa’s mother made a quilt using apattern of repeating regular hexagons as shown. WillVanessa be able to make a similar quilt with a patternof repeating regular pentagons? Explain your reasoning.Course 3 Chapter 5 Triangles and the Pythagorean Theorem79
NAME DATEPERIODLesson 5 Homework PracticeThe Pythagorean TheoremWrite an equation you could use to find the length of the missing side of each right triangle.Then find the missing length. Round to the nearest tenth if necessary.1.2.3.4.5.6.7. a, 65 cm; c, 95 cm8. a, 16 yd; b, 22 ydDetermine whether each triangle with sides of given lengths is a right triangle.Justify your answer.9. 18 ft, 23 ft, 29 ft10. 7 yd, 24 yd, 25 yd11. The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the lengthof the other leg.12. A leg of a right triangle is 30 meters long, and the hypotenuse is 35 meters long. What is thelength of the other leg?13. TELEVISIONS The diagonal of a television measures 27 inches. If the width of a 27-inch is22 inches, calculate its height to the nearest inch.Course 3 Chapter 5Triangles and the Pythagorean Theorem83
NAME DATE PERIODLesson 6 Homework PracticeUse The Pythagorean TheoremWrite an equation that can be used to answer the question. Thensolve. Round to the nearest tenth if necessary.1. How far is the ship fromthe lighthouse?8 mi6 mi2. How long is the wiresupporting the sign?1.5 ftd mi3. How far above the water isthe person parasailing?w ft2 ft100 ydp ydOpen 24/780 yd4. How wide is the pond?5. How high is the ramp?6. How high is the end of theladder against the building?95 ftCopyright The McGraw-Hill Companies, Inc. Permission is granted to reproduce for classroom use.120 ftw ft21 fth fth ft19 ft13 ft4 ft7. GEOGRAPHY Suppose Birmingham, Huntsville, andGadsden, Alabama, form a right triangle. What isthe distance from Huntsville to Gadsden? Round tothe nearest tenth if necessary.Huntsvilled mi98 miGadsden61 miBirmingham8. GEOMETRY Find the diameter d of the circle in the figureat the right. Round to the nearest tenth if necessary.18 ftd ftCourse 3 Chapter 5 Triangles and the Pythagorean Theorem22 ft85
NAME DATEPERIODLesson 7 Homework PracticeDistance on the Coordinate PlaneGraph each pair of ordered pairs. Then find the distance between the points. Round to thenearest tenth if necessary.1. (4, 3), (1, –1)2. (3, 2), (0, –4)3. (–4, 3.5), (2, 1.5)Use the Distance Formula to find the distance between each pair of points. Round to thenearest tenth if necessary.4. W(2, 5), U(–4, 3)5. A(–1, 7), B(–3, –5)7. M(5, –3), N(9, 1)8. C(–4, –8), D(2, 2)10.()()11. J(5.4, –3.2), K(4, –1.2)6. P(1, 1), Q(–1, –1)9. R(–4, 2), S(–4, –9)12.()()13. Find the distance between points R and S shown at the right.Round to the nearest tenth.14. GEOMETRY If one point is located at (–6, 2) andanother point is located at (6, –3), find the distancebetween the points.Course 3 Chapter 5Triangles and the Pythagorean Theorem87
Lesson 1 Homework Practice Lines For Exercises 1-6, use the figure at the right. In the figure, line m is parallel to line n. List all pairs of each type of angle. 1. vertical 2. complementary 3. supplementary 4. corresponding 5. alternate interior 6. alternate exterior Use the figure at the right for Exercises 7-10. 7. Find the measure of .
