PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not, however, intended to replace any of the following: regularly attending class, consistently completing homework, participating in class, asking/answering questions, and obtaining extra help on an as-needed basis. NAME: ANSWERS TO SELECT PROBLEMS PD_____ DATE_______________ UNIT TWO STUDY GUIDE MATCHING Choose the BEST answer. Use CAPITAL LETTES ONLY. (10 points; ½ point each) 1. 2. 3. 4. 5. 6. Vertex in GBI Vertex in isosceles BIG with BI = IG B. C. A. B. Obtuse, acute, right Point, line, plane A. C. Scalene, isosceles, equilateral K. M. L. D. E. F. Supplementary Complementary Equiangular and equilateral 7. uuur ABC with angle bisector BO G. G. ABO OBC 8. Two angles whose sum is 90 E. H. 9. Non-intersecting, non-coplanar lines Non-intersecting, coplanar lines Coplanar or non-coplanar lines which intersect to form right angles Regular polygon Line segment in a triangle which connects a vertex to the midpoint of the opposite side Measure of line segment UP written symbolically Segment AB with midpoint M Perpendicular segment in a triangle which connects vertex to the opposite side // Q. I. AM MB median P. O. J. K. Read: “is parallel to” Read: “is perpendicular to” F. T. L. M. I B S. N. altitude H. N. O. P. Perpendicular lines Parallel lines J. Q. R. Skew lines S. T. UP MEDIAN 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 1 3 basic building blocks of geometry Classification of s by lengths of sides Classification of s by angle measures UP PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not, however, intended to replace any of the following: regularly attending class, consistently completing homework, participating in class, asking/answering questions, and obtaining extra help on an as-needed basis. INTERRETING INFORMATION FROM DIAGRAMS Use Y (YES) or N (NO) to tell whether or not each statement may be assumed from the given diagram (4 points; ½ point each). NOTE: Ask, “What symbol/symbols would I need to add to the diagram to be able to answer these questions with YES?” Some symbols may not appear correctly if you are using your phone, rather than a computer. YES NO NO YES NO 18. 19. 20. 21. 22. YES NO 21. 22. NO 23. P, Q, and R are collinear RSP is a right angle QTR is isosceles STQ is adjacent to QTR R is the midpoint of TU Q is between V and T PS // QT PQTS is a trapezoid Use the diagram below (and correct notation) to answer the following: 23. Using MH , name the same ray twice (two different ways): MULTIPLE CORRECT (3 points; ½ pt. each) ⃗⃗⃗⃗⃗⃗⃗ ⃗⃗⃗⃗⃗⃗⃗ 𝑀𝐻, ⃗⃗⃗⃗⃗⃗⃗⃗ 𝑀𝐴, 𝑀𝑇, ANSWERS KEY: SAME RAY: SAME DIRECTION AND SAME ENDPOINT 24. M A T Using MH , name two different rays: MULTIPLE ⃗⃗⃗⃗⃗⃗ , ⃗⃗⃗⃗⃗ 𝑀𝐴 𝐻𝑇 CORRECT ANSWERS KEY: DIFFERENT RAY: DIFFERENT DIRECTION AND/OR DIFFERENT ENDPOINT H 25. Using MH , name a pair of opposite rays: MULTIPLE ⃗⃗⃗⃗⃗⃗ , 𝐴𝑇 ⃗⃗⃗⃗⃗⃗⃗ 𝐴𝑀 CORRECT ANSWERS. KEY: SAME ENDPOINT AND OPPOSITIE DIRECTIONS Use the diagram below (and correct notation) to answer the following: NOTE: MULTIPLE CORRECT RESPONSES (4 points) 26. Name the angle marked DEC, CED, 2 27. Name two angles whose sum is ABD & DBC with * as many ways as possible m ABC. 28. Name a pair of vertical angles. 2 4, 5 PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not, however, intended to replace any of the following: regularly attending class, consistently completing homework, participating in class, asking/answering questions, and obtaining extra help on an as-needed basis. 4 * 5 What makes these vertical angle pairs?...linear pairs of angles? 2, 5 28. Name a linear pair of angles Drawing / Labeling 30. Sketch and label each figure. NOTE: YOU MAY NEED TO “ADJUST” VERTICES! PLAN CAREFULLY! a.) Trapezoid TRAP with // AP and TR AR R ( AG parallel to sides RE and NI . diagonal SM . T S R 5 A c.) Hexagon REGINA with b.) Scalene ∆ PTS with PS = 3, ST = 5, and PT =7, and median TR P T E 3 3½ 3½ S A G N I 1. 31. “A square is a rectangle and a rhombus.” True or False. Be prepared to support your answer. Drawing a VENN Diagram may help you with this one! (Done in class. Check your notes!) _________________________________________________________________ 32. “An equilateral triangle is also isosceles.” True or False. Be prepared to support your answer Drawing a TREE DIAGRAM may help you with this one! (Done in class. Check your notes!) __________________________________________________________________ A PICTURE IS WORTH A THOUSAND WORDS Read…and re-read…each problem below, determining what information is given and what you need to find. Then draw and label a diagram. Finally, solve the problem. KEY; A PICTURE IS WORTH A THOUSAND WORDS! DRAW AND 3 PLEASE NOTE: This study guide is not all-inclusive. It is intended to highlight BIG IDEAS from the unit. It is not, however, intended to replace any of the following: regularly attending class, consistently completing homework, participating in class, asking/answering questions, and obtaining extra help on an as-needed basis. LABEL A COMPASS (WITH NORTH, SOUTH, EAST, AND WEST) TO HELP ORGANIZE YOUR LABELED DIAGRAM! 2. Meg A. Byte is lost in the woods 15 km east of the north-south Seneca School Road. She begins walking in a zig-zag pattern: 1 km south, 1 km west, 1 km south, 2 km west, 1 km south, 3 km west, and so on. Meg walks at the rate of 4 km/h (kilometers per hour). If it is 3 pm now and sun sets at 7:30, will there still be sunlight when she reaches Seneca School Road? (Done in class. Check your notes!) 4