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Name n | CHAPTER | Date Class Chapter 1. Identify a pair of skew segments. 7. Find the measure of /.QRS and state the postulate or theorem that justifies your answer. D 'F H 2. Write True or Fa/se. Perpendicular lines cannot be skew lines. rue 3. How many total pairs of both alternate exterior and alternate interior angles are formed by a transversal that intersects two coplanar lines at two different points? 4 8. If L.\ = Z6 and mz.1 + 90°, is HI s? _ 4. Given: L& and A6 are corresponding angles. Identify the transversal. A/o 9. Which values for x and y make lines r, s, and t parallel? . 10 11\12 /75° 45\. /(3* + y)° (5x-yr 5. If parallel lines are intersected by a transversal that is not perpendicular to them, how many pairs of nonadjacent supplementary angles are formed? 6. What one word completes the following sentence? angles formed by a transversal of parallel lines are congruent and all the angles are supplementary to all the obtuse angles. u 10. If two parallel lines and a transversal form angles that are all congruent, describe the relationship between the transversal and each of the parallel lines. A wall rack for holding CDs is shown. Use the figure for Exercises 1 and 2 11. Explain why HK must be perpendicular to KL. "Tl\e p'ciurg FTTT • &H II K^- TK|v\. 12. If JM 1 HK, explain why JM || GH. J- . Write True or False. Skew lines can intersect. {8 . Write and solve an inequality for x. 2x+ 20 IT . How many pairs of corresponding angles are formed by two lines and a transversal? What type of angle pair are <L8 and L6? lo>X Complete the theorem. If two intersecting lines form a linear pair of congruent angles, then the lines are f Name the shortest segment from B to AC. If pjtrallel lines are intersected by a transversal, at most how many different angle measures are there? B Find mZABC. Complete the sentence. When parallel lines are cut by a transversal, the angles formed are either or supplementary. A /x° '(3\ - 70)° c Name Date SECTION Class, Ready to Go On? Enrichment fi Finding Angle Measures Use the figure at the right and the given information to answer the questions below, s || t, s || r, \\m,n\m mz.1 = (7x)° mz.2 = (4x+ 18)° 76 -= (6a ^- / J = (3y)° n I = (5a + 2)° I - n I I I rn^.7 = (28b - 5)° r 1. Find the value of x. 2. Findm/11. 4. How are Z.1 and A3 related? Y Y 3. Find 5. What is . . ir\t 6. What is mZ.4? /1 3/5 7. What is the value of a? 9. Find m^5. 8. What is the value of b? 10. Find the value of y. 11. Is n || m? Explain your answer. tVv/T} - r^n^ IBS' i3s5^ i^° Hi€ dJl ^ A ^ e n / 12. Write a paragraph proof to show that s || r. A s:// r u j j K ( i . o rriitf SBISD Geometry PreAP Curriculum Framework Unit 3: Lines with Transversals 3A (3.1-3.4) (10 Days) ! Unit Assessment Items EOC Level Questions: On the map below, First Street is parallel to Second Street, with the bicycle path crossing both streets as shown. What are the measures of the three angles of the triangular park? First St. 55 3b A 30" ,60*, 90" B 125", 55'. 90* Ji~\ 5V 90*, 55*X35>> 'path D Secor«id St. 2. 90", 45°, 45* Camille drew line segment ,45 and drew two lines, line m and n, intersecting ,4 # and creating eight angles. The measure of Z. 3 is 90' and the measure of / 6 is ,W . Camille concluded that eventually these two lines would intersect. To validate this conjecture, what would be appropriate reasoning-? 180" ^C• 3. Bnem B m / 2 -= m /: 3 =• m f_ 6 - 90" C m l_ 2 = m Z. 3 : m i_ 6 = m / 8 D m /. 2 + ni /_ 3 = 1X0* : m /. 6 + m / 7 = 180' Use the f%ure to the right to answer the foUoir lag. Giv en lines p & z are p aralleL linefis a tramrersaland m^.2 = 22° Find mZ3 120= Page 4 of 5 SB1SD Geometry PreAP Curriculum Framework 4. Based on the angle measurements given in the diagram below, which of the following is TRUE about the line segments? Q a P A $ 6'P1177? B © D > 5 Maria studied the diagram shown below in which £/-• j_ /-yy and /Q j_ /•>/ . She then made the following conjectures about the ausles iii the cUaeram. Which conjecture is always TRUE? A B Z 1 <m Z2 / K > m /_ 5 EI-'Ci is complementaiy to /. The diagrams below show the .arcs made by a compass during a geometric construction. Which diagram shows die correct way to construct the line perpendicular to a line. L, from a point. P, not on the line? \ L Questions from the TMSDM Resource https://www. tmsds. pro/ Page 5 of 5