Chapter 3 Final Review
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1 Class: Date: Chapter 3 Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. Find the sum of the interior angle measures of the polygon. 1. a. 360 c. 380 b. 720 d What is the measure of? a. 80 c. 100 b. 90 d
2 3. The figures are similar. What is the value of x? a. 2 inches c. 14 inches b. 7.7 inches d. 18 inches Find the value of x. 4. a. 27 c. 118 b. 63 d a. 105 c. 71 b. 109 d. 19 Name the word that matches the definition given. 6. A line that intersects two or more lines a. transversal d. interior angles of a polygon b. interior angles e. exterior angles of a polygon c. exterior angles f. convex polygon 2
3 7. When two parallel lines are cut by a transversal, four are formed on the inside of the parallel lines a. transversal d. interior angles of a polygon b. interior angles e. exterior angles of a polygon c. exterior angles f. convex polygon 8. When two parallel lines are cut by a transversal, four are formed on the outside of the parallel lines. a. transversal d. interior angles of a polygon b. interior angles e. exterior angles of a polygon c. exterior angles f. convex polygon 9. The angles inside a polygon. a. transversal d. interior angles of a polygon b. concave polygon e. exterior angles of a polygon c. regular polygon f. convex polygon 10. The angles outside a polygon that are adjacent to the interior angles. a. transversal d. interior angles of a polygon b. concave polygon e. exterior angles of a polygon c. regular polygon f. convex polygon 11. A polygon in which every line segment connecting any two vertices lies entirely inside the polygon. a. transversal d. interior angles of a polygon b. interior angles e. concave polygon c. exterior angles f. convex polygon 12. A polygon in which at least one line segment connecting any two vertices lies outside the polygon. a. concave polygon d. interior angles of a polygon b. regular polygon e. exterior angles of a polygon c. indirect measure f. convex polygon 13. A polygon in which all the sides are congruent, and all the interior angles are congruent. a. concave polygon d. interior angles of a polygon b. regular polygon e. exterior angles of a polygon c. indirect measurement f. convex polygon 14. uses similar figures to find a missing measure when it is difficult to find directly. a. concave polygon d. interior angles of a polygon b. regular polygon e. exterior angles of a polygon c. indirect measurement f. convex polygon 3
4 15. Find the measure of the exterior angle. a. 70 c. 122 b. 52 d Find the measure of the exterior angle. a. 126 c. 24 b. 42 d. 63 4
5 17. Find the measure of the interior angle. a. 45 c. 55 b. 130 d The interior angles of a regular polygon each measure 144. How many sides does the polygon have? a. 9 c. 12 b. 10 d a. 58 c. 63 b. 360 d. 418 The triangles are similar. Find the value of x. a. 38 c. 90 b. 14 d. 52 5
6 21. a. 23 c. 100 b. 57 d A person standing 28 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the triangles are similar. a. 17 ft c. 20 ft b. 40 ft d. 21 ft Short Answer Use the figure to find the measure of the angle. Explain your reasoning
7 Find the measures of the interior angles of the polygon Find the measures of the exterior angles of the polygon
8 Can a hexagon have angles that measure, and Explain. 33. Five angles of a hexagon measures Find the sixth angle measure. 8
9 34. The painted lines that separate parking spaces are parallel. The measure of 1 is 60. What is the measure of 2? Explain. 35. Error Analysis Describe and correct the error in finding the sum of the interior angle measures of a 19-gon. S 36. Can an octagon have angles that measure 140, 120, 50, 95, 105, 100, 80, and 150? Explain. 9
10 37. Tell whether the triangles are similar. Explain. 38. How can you use similar triangles to find a missing measurement? 10
11 Chapter 3 Final Review Answer Section MULTIPLE CHOICE 1. A 2. C 3. D 4. D 5. B 6. A 7. B 8. C 9. D 10. E 11. F 12. A 13. B 14. C 15. C 16. A 17. D 18. B 19. A 20. D 21. B 22. C SHORT ANSWER 23. Sample answer: and the given angle are supplementary, and and are alternate interior angles. 24. and the given angle are vertical angles. 25. and the given angle are supplementary ; Sample answer: 1 and the given angle are alternate exterior angles, and and are supplementary no; The sum of the angle measures must be, not ; Corresponding angles are congruent. 1
12 35. The right side of the formula is, not. 36. no; The angles given add up to 840, but the sum of the interior angles of an octagon is Yes. The triangles have two pairs of congruent angles. 38. Write a proportion that uses the missing measurement because the ratios of corresponding side lengths are equal. 2
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Geometry Unit 10 Note Sheets Date Name of Lesson. 1.6 Two-Dimensional Figures Areas of Circles and Sectors
Date Name of Lesson 1.6 Two-Dimensional Figures 11.3 Areas of Circles and Sectors Quiz 11.1 Areas of Parallelograms and Triangles 11.2 Areas of Trapezoids, Rhombi and Kites 11.4 Areas of Regular Polygons
Explore 2 Exploring Interior Angles in Polygons
Explore 2 Exploring Interior Angles in Polygons To determine the sum of the interior angles for any polygon, you can use what you know about the Triangle Sum Theorem by considering how many triangles there