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EDM Unit 3 Study Guide Name Measure the angle below with a protractor and classify the angle as acute, obtuse, or right. 1. R T S m ∠ RST = _____ 2. α 3. Explain what a straight angle is. 4. Draw a reflex angle. 5. Write the 11-digit number that has a 1 in the ones place, 6 in the tens place, a digit in the ten-thousands place that is twice the digit in the ones place, the smallest even digit in the billions place, 3 in the tenths place, and 0 in all the other places. _____, _____ _____ _____, _____ _____ _____, _____ _____ _____. _____ 6. Use your Geometry template to do the following: Draw an equilateral triangle. EDM Unit 3 Study Guide Name 7. List at least one way in which a scalene triangle and equilateral triangle are the same. 8. List at least one way in which an isosceles triangle and a scalene triangle are different. 9. For the polygon below, which is a true statement? [A] This polygon is a quadrangle. [B] At least two sides are parallel. [C] This is a regular polygon. 10. For the polygon below, which is a true statement? [A] This polygon is a quadrangle. [B] No two sides are parallel. [C] At least one angle is acute. [D] This is a regular polygon. 11. Find the missing angle measure without measuring. m∠DBC = _____ E D 75° 53° A B C EDM Unit 3 Study Guide Name 12. Find the missing angle measure without measuring. 91° 36° g 13. Find the missing angle measures without measuring. Each angle at point G has a measure of _____. G 14. Name two adjacent angles below. E D A B C 15. a. Use a straightedge to draw a pair of adjacent angles. Make one of the the angles obtuse. Use letters to name the angles. b. Tell which angle is obtuse. c. Without using your protractor, estimate the measure of each angle to the nearest 10°. EDM Unit 3 Study Guide Name 16. Use the table below to answer the questions. Regional Populations 1850 - 2000 Region 1850 1900 1950 2000 Northeast region 8,101,639 23,306,114 66,715,818 86,815,719 South region 8,731,454 15,066,127 85,175,142 91,595,420 Midwest region 3,927,339 53,416,442 66,894,563 93,666,207 West region 503,804 2,336,242 6,441,500 9,624,470 a. Which region had the smallest population in 1900? b. Which region had the smallest population 50 years later? c. Which region had the greatest increase in population from 1850 to 2000? What was the increase? 17. a. Use the pattern-block shapes on your Geometry Template to make a pattern that tessellates. b. Explain why your pattern is a tessellation. EDM Unit 3 Study Guide Name 18. Adding Angles Nate and Sam played 5 rounds of Angle Tangle. Nate drew the following types of angles for Sam. 1 reflex angle, 1 right angle, 1 acute angle, and 2 obtuse angles. Both Nate and Sam 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. Sam’s angles totaled 625º. What could the measures of his 5 angles be? Show or explain how you found your answers. Reflex angle: ° Right angle: ° Acute angle: ° ° Obtuse angle 1: Obtuse angle 2: °