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Name: ________________________ Period: _________ Date: ____________ Geometry β Unit 1 Study Guide β Day 1 Match the definition with the word. Write the letter in the blank. a. Having the same shape or size 1. Supplementary Angle _____ b. Next to or side by side 2. Skew Lines _____ c. A pointβs distance & direction from 0 on a number line 3. Space _____ d. Lines that are not coplanar and do not intersect 4. Obtuse Angle _____ e. A pair of angles that have a sum of 90 degrees 5. Collinear _____ f. On the same plane 6. Opposite Rays _____ g. On the same line 7. Parallel Lines _____ h. A statement accepted to be true without proof 8. Straight Lines _____ i. A pair of angles with a sum of 180 degrees 9. Congruent _____ j. Lines that are coplanar but do not intersect 10. Segment Addition Post. _____ k. An angle whose measure is 90 < π₯ < 180 11. Midpoint _____ l. An angle whose measure is 180 degrees 12. Coplanar _____ m. An angle whose measure is 0 < π₯ < 90 13. Adjacent _____ n. The middle of a segment 14. Coordinate _____ o. The set of all points 15. Acute Angle _____ p. Collinear rays with the same endpoint 16. Postulate _____ q. If π΄, π΅, and πΆ are collinear, then π΄π΅ + π΅πΆ = π΄πΆ 17. Complementary _____ Draw and label a figure for each exercise: 18. Point π 19. Plane πππ β‘ 20. ππ 21. π΄π΅ Use the figure to answer questions 22-27. 22. Name the plane with 3 letters: _______ 23. β‘π΄πΆ intersects the plane at what point? _______ 24. β‘π»πΊ and β‘πΊπΈ intersect at what point? _______ 25. Name 3 collinear points: _______ 26. Name a point NOT on the plane: _______ 27. Are points πΉ, π·, πΈ, and π΅ coplanar? _______ Use the figure at the right to answer questions. β‘ : _______ 28. Name a line that is skew to ππ΅ 29. How many planes are there in the figure? _______ 30. Name three points that are coplanar: _____________________ 31. Name three noncollinear points: ______________ Use your knowledge of the Segment Addition Postulate to answer the questions below. Μ Μ Μ Μ . 32. Find the length of π΄πΆ 33. If Μ Μ Μ Μ πΈπΉ = 2π₯ β 12, Μ Μ Μ Μ πΉπΊ = 3π₯ β 15, and Μ Μ Μ Μ πΈπΊ = 23, find the values of π₯, Μ Μ Μ Μ πΈπΉ , and Μ Μ Μ Μ πΉπΊ . Geometry β Unit 1 Study Guide β Day 2 Use the picture at the right to answer the following questions. 34. Name a pair of supplementary angles (sum of 180°). 35. Name a pair of complementary angles (sum of 90°). 36. Name two congruent angles. Use the picture at the right to answer the following questions. Μ Μ Μ Μ = 31, find the following: 37. If ππ π a. π₯ = ________ Μ Μ Μ Μ Μ = ________ b. ππ Μ Μ Μ Μ Μ = ________ c. ππ Use the picture at the right to answer the following questions. 38. πβ π΄π΅πΆ = 39. πβ πΎπ΅πΆ = π π 40. Find the midpoint and distance for the following endpoints. Round to the nearest tenth when necessary. (β3, 1) and (7, β4) Midpoint: Distance: 41. Find the midpoint and distance for the following endpoints. Round to the nearest tenth when necessary. (8, β2) and (β10, β6) Midpoint: Distance: Μ Μ Μ Μ are(4, 1). The coordinates of endpoint π are 42. The coordinates of the midpoint of ππ΅ (10, β5). Find the coordinates of endpoint π΅. (Hint: sketch the line first)