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Name: Class: Date: Unit 03 PC Form E 1. (3.3, 3.4) Use pencil and paper to answer the question. Measure the angle below with a protractor. Then choose a word from the list to name the angle: acute, obtuse, adjacent, right. m ____________________ angle ANSWER: Powered by Cognero Page 1 Name: Class: Date: Unit 03 PC Form E 2. (3.3, 3.4) Use pencil and paper to answer the question. Measure the angle below with a protractor. Then choose a word from the list to name the angle: acute, obtuse, adjacent, right. m m m ____________ angle ____________ angle ____________ angle ANSWER: a. Powered by Cognero m right angle b. m obtuse angle c. m acute angle Page 2 Name: Class: Date: Unit 03 PC Form E 3. (3.3, 3.4) Use pencil and paper to answer the question. Use your protractor. Measure each angle below. Record your answer to the nearest degree. a. m ABC b. m JKL c. ABC is an ____________ (acute or obtuse) angle d. JKL is an ____________ (acute of obtuse) angle ANSWER: a. m ABC c. obtuse angle Powered by Cognero b. m JKL d. acute angle Page 3 Name: Class: Date: Unit 03 PC Form E 4. (3.4) Use pencil and paper to answer the question. a. What is a reflex angle? __________________________________________________________ __________________________________________________________ b. Draw and label a reflex angle. ANSWER: Powered by Cognero a. b. Sample answer: Page 4 Name: Class: Date: Unit 03 PC Form E 5. (3.2) Use pencil and paper to answer the question. Write the number that has 3 in the ones place, 4 in the hundreds place, a digit in the hundred-thousands place that is twice the digit in the ones place, the largest odd digit in the millions place, 7 in the tenths place, and 0 in the remaining places. ____ , ____ ____ ____ , ____ ____ ____ . ____ ANSWER: 6. (3.6) Use pencil and paper to answer the question. Use your Geometry Template to do the following: Draw a scalene triangle. ANSWER: Powered by Cognero Sample answer: Page 5 Name: Class: Date: Unit 03 PC Form E 7. (3.6, 3.7) Use pencil and paper to answer the question. Use your Geometry Template to do the following: a. Draw an equilateral triangle. b. Draw an isosceles triangle that is not equilateral. c. Draw a scalene triangle. d. List at least one way in which an equilateral triangle and a scalene triangle are the same. _____________________________________________________________ _____________________________________________________________ e. List at least one way in which an equilateral triangle and a scalene triangle are different. _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ _____________________________________________________________ ANSWER: Answers vary. Sample answer: a. b. c. d. The sum of the angles is for both triangles. e. An equilateral triangle has all sides with the same length, while a scalene triangle has no sides the same length. Powered by Cognero Page 6 Name: Class: Date: Unit 03 PC Form E 8. (3.6, 3.7) Use pencil and paper to answer the question. a. List at least one way in which an equilateral triangle and a scalene triangle are the same. _____________________________________________________________ _____________________________________________________________ b. List at least one way in which an equilateral triangle and a scalene triangle are different. _____________________________________________________________ _____________________________________________________________ ANSWER: Answers vary. Sample answers: a. b. The sum of the angles is for both triangles. An equilateral triangle has all sides with the same length, while a scalene triangle has no sides the same length. 9. (3.7, 3.8) Identify all of the true statements about the polygon below. a. At least one angle is acute. b. This is a regular polygon. c. At least two sides are parallel. d. At least two angles are congruent. e. This polygon is a quadrangle. ANSWER: a, c, e Powered by Cognero Page 7 Name: Class: Date: Unit 03 PC Form E 10. (3.7, 3.8) Identify all of the true statements about the polygon below. a. This is a regular polygon. b. This polygon is a quadrangle. c. At least two sides are the same length. d. At least two sides are parallel. e. At least two angles are congruent. ANSWER: a, c, e 11. (3.3) Find the missing angle measure without using your protractor. is a straight line. m ANSWER: 85 The measure of Powered by Cognero Page 8 Name: Class: Date: Unit 03 PC Form E 12. (3.3) Find the missing angle measure without using your protractor. m ANSWER: 40 The measure of 13. (3.7, 3.9) Use pencil and paper to answer the question. Find the missing angle measure without using your protractor. Each angle of the regular hexagons at point H has a measure of ________. ANSWER: Powered by Cognero Page 9 Name: Class: Date: Unit 03 PC Form E 14. (3.3, 3.4) Use pencil and paper to answer the question. Name two adjacent angles from the figure below. ________ and ANSWER: Powered by Cognero ________ SAMPLE ANSWERS: Page 10 Name: Class: Date: Unit 03 PC Form E 15. (3.5, 3.6) Use pencil and paper to answer the question. a. Use a straightedge to draw a pair of adjacent angles below. Make one of the angles obtuse and the other angle acute. Use letters to name the angles. b. Tell which angle is obtuse. ________ c. Without using your protractor, estimate the measure of the each angle to the nearest . m ANSWER: Sample answer: a. b. c. Powered by Cognero m PMN m NMQ Page 11 Name: Class: Date: Unit 03 PC Form E 16. (3.1, 3.2) Use pencil and paper to answer the question. Use the table below to answer the following questions: Regional Populations 1850-2000 Region 1850 1900 1950 Northeast region 8,627,000 21,047,000 39,478,000 South region 8,983,000 24,524,000 47,197,000 Midwest region 5,404,000 26,333,000 44,461,000 West region 179,000 4,309,000 20,190,000 a. b. c. 2000 52,107,000 97,614,000 63,502,000 61,412,000 Which region had the largest population in 1900? ________________________ Which region had the largest population 100 years later? ________________________ Which region had the largest increase in population from 1850 to 2000? ________________________ What was the increase? ________________________ ANSWER: Powered by Cognero a. b. c. Midwest region South region South region 88,631,000 Page 12 Name: Class: Date: Unit 03 PC Form E 17. (3.8, 3.10) Use pencil and paper to answer the question. Use the pattern-block shapes on your Geometry Template to make a pattern that tessellates below. (The pattern-block shapes are marked PB.) Explain why your pattern is a tessellation. _____________________________________________________________ _____________________________________________________________ ANSWER: Sample answer: A pattern is a tessellation if there are no gaps or overlaps in the shapes that make up the pattern. Powered by Cognero Page 13 Name: Class: Date: Unit 03 PC Form E 18. (3.3, 3.4) Use pencil and paper to answer the question. Adding Angles Fukimo and Seiichi played 5 rounds of Angle Tangle. Fukimo drew the following types of angles for Seiichi. 1 reflex angle, 1 right angle, 2 acute angles, and 1 obtuse angle. Both Fukimo and Seiichi were very good at estimating the measures of angles. Their total scores for the game were so close that the boys decided on another way to choose the winner. They decided to add the measures of their 5 angles, and the one who had the greatest sum would win. . What could the measures of his angles be? Show or explain how you found your answers. Reflex angle: ________ Right angle: ________ Acute angle 1: ________ Acute angle 2: ________ Obtuse angle: ________ ANSWER: Sample answer: Reflex angle = 250 (measures more than and less than Right angle: 90 (always measures ) Acute angle 1: 30 (measures less than ) Acute angle 2: 60 (measures less than ) Obtuse angle: 110 (measures more than and less than ) ) Sample explanation: I started by putting for the right angle since this never changes. I chose measures for the acute angles next (30 and 60 ), which left me to find the 2 largest angles. I chose for the obtuse angle. There is a large range of values for the reflex angle, so I was pretty sure that the measure would work in order for the sum to come out to . All I had to do was subtract the sum of the other 4 angles ( ) from to get my reflex angle of . Powered by Cognero Page 14