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Name:_______________________________ Period ______ Date _________________ Geometry Concepts Chapter 3 REVIEW For Questions 1–3, refer to the figure at the right. 1. Give two other names for 1. ______________ ______________ A E 2. Name the vertex of EBD. J F 1 B D ______________ C H G 3. What three points are located in the interior of EBH? ______________ ______________ ______________ For Question 4, draw the appropriate angle. 4. Use a protractor to draw a 55° angle. Classify the angle as acute, right, or obtuse. Angle: Classification: _____________________ For Question 5, refer to the figure below. 5. Use a protractor to find the measure of XYZ. Classify XYZ as acute, right, or obtuse. Z Measure:_____________________ X Y Classification:_____________________ Review - Page 1 of 4 Name:_______________________________ Period ______ Date _________________ For Questions 6–7, refer to the figure at the right. N 6. If m KJN = 150 and m MJK = 132, find m MJN. J ______________ M K 7. If m KJN = 150, m MJN = 18, and JM bisects LJN, find m LJK. L ______________ For Questions 8–10, refer to the figure at the right. 8. What angle forms a linear pair with DCG? ______________ F D A 9. Name two angles that are adjacent to GBF. C B ______________ ______________ G E 10. Are GBF and ABE vertical angles? YES NO For Questions 11-13, chose the best answer by circling it. Draw a picture to help you. 11. Which statement is true? A. The supplement of an obtuse angle is acute. B. The supplement of a right angle is obtuse. C. The complement of a right angle is right. D. The complement of an acute angle is obtuse. 12. Which is not a pair of adjacent angles? A. LXK and LXI B. LXH and JXK C. HXM and GXM D. HXL and GXL Review - Page 2 of 4 Name:_______________________________ Period ______ Date _________________ 13. If 1 2, and 3 is supplementary to 2, and 3 and 4 are vertical angles, which conclusion is valid? A. B. C. D. 1 is complementary to 4. 1 and 2 are vertical angles. 1 and 4 are supplementary angles. 2 and 3 are congruent angles. For Questions 14–15, refer to the figure at the right. E 14. Name one pair of adjacent supplementary angles. ______________ D ______________ C X 15. If m CXB = 63, CXE is a right angle, and XD bisects CXE, find m AXB. A B ______________ For Questions 16-18, write your answers on the lines provided. Draw a picture if needed. 16. Find the measure of an angle that is supplementary to A if A B and m B = 65. ______________ 17. Suppose 1 and 2 are vertical angles. What is the value of x if m 1 = 3x + 18 and m 2 = 7x - 22? ______________ What are the measures of 1 and 2? ______________ ______________ Review - Page 3 of 4 Name:_______________________________ Period ______ Date _________________ 18. Suppose 1 and 2 are complementary angles, 1 and 3 are vertical angles, and 4 is supplementary to 3. If m 2 = 42, find the measures of 1, 3, and 4. m 1 = ______________ m 2 = ______________ m 3 = ______________ For Questions 19–21, refer to the figure at the right. In the figure, AB XY and WZ AY . C 19. Name two different angles that are complementary to ADZ. ______________ _______________ U V A Z X D 20. Name two different angles that are supplementary to DAV. ______________ W B Y ______________ 21. If m WDB = 18, find m WDY. ______________ Bonus: Refer to the figure for Questions 19–21. If m XDW = 70, how many other angles are also 70 degrees? Name them. (Hint: There are 180 degrees in a triangle.) _______________ They are _____________________________________________ Review - Page 4 of 4