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Geometry 1: Intro to Geometry Introduction to Geometry Name ______________________________________ Period _______________ Date _________________ 2e) Name an obtuse angles G-CO.1: I can define and identify basic geometric terms. 1. Use the figure below. Assume that lines that look parallel are parallel. 2d) Name an acute angle a) Name a pair of parallel lines 2f) Name a pair of vertical angles 3. In the figure MO bisects LMN , mLMO (9 x 14) , and mNMO ( x 74) . b) Name a pair of perpendicular lines Solve for x and find mLMN 2. Use the diagram below to answer the following questions. B C A D O E 2a) Name a linear pair 4. In the figure ST bisects UX , If UW 8x 4 , and WX 2 x 20 . Solve for x and find UX S 2b) Name two complementary angles U W X T 2c) Name two supplementary angles 2d) Give at least two pairs of adjacent angles Geometry: Intro to Geometry Review (May 30, 2013) PUHSD Curriculum Team 5. Given mVUT = 175° and mVUJ = (17x - 3)° and mJUT = (17x + 8)°. Find mVUJ and mJUT. 8. If x < 35, then what are the possible values of y? y° x° 9. Using the diagram below, find x and explain how you would tell a fellow student to solve it. mVUJ = _______ mJUT = _______ Solve: 6. Given mABC = (17x + 8)° and mABK = 42° and mKBC = (12x – 4)°. Find mABC and mKBC. (4x)° x° 20° Explain___________________________ __________________________________ __________________________________ mABC = _______ mKB = _______ 10. Suppose that, in the diagram, FG is the perpendicular bisector of both BD and AE. Is 7. If x > 100, then what are the possible values of y? AB DE ? Justify your answer. F B x° y° A Geometry 1: Intro to Geometry Review (May 30, 2013) E ● A ● G E PUHSD Geometry Curriculum Team D 11. Use the figure below to answer the questions. ● K 12. Excluding straight angles, name at least 7 angles in the diagram below. ● J ● R ● L ●V ● T ●Z ● M ● N ● U ●S 11a) Name at least 5 line segments 11b) Name at least 3 rays 11c) Name 3 collinear points 13. Write down as many facts as are observable from the figure below. (Need at least 3) 11d) Name one line 11e) Write an example of the segment addition postulate Geometry 1: Intro to Geometry Review (May 30, 2013) PUHSD Geometry Curriculum Team 14. Part A: Draw a diagram that satisfies these three conditions: i. AEB CED ii. BEC is adjacent to CED 16. Draw acute angle ABC and then construct its bisector. Label all your points. iii. AEB BEC Part B: If 𝑚∠𝐴𝐸𝐵 = 30°, find 𝑚∠𝐵𝐸𝐶, 𝑚∠𝐶𝐸𝐷 𝑎𝑛𝑑 𝑚∠𝐴𝐸𝐷. Justify your answers. _________________________________ __________________________________ __________________________________ __________________________________ G-CO.12 I can make the following constructions: copy a segment, copy an angle, perpendicular bisector, angle bisector 17. Draw a right angle and then construct its bisector. Label all your points. What are the measures of the two smaller angles? 15. Construct the perpendicular bisector of RP R P Geometry 1: Intro to Geometry Review (May 30, 2013) PUHSD Geometry Curriculum Team 18. Construct an angle that is equal to the sum of the angles. 20. Use a straightedge and compass to construct a segment that satisfies SN = 2(SU) and that all of the points are collinear. Explain why U is the midpoint of SN? S U Explain: _________________________________ __________________________________ __________________________________ __________________________________ 19. Use a straightedge and a compass to double the angle. 21. Use a straightedge and a compass to construct ST a segment that is equal to the sum of the two segments below. E F G I Part B: Fill in the equation ST = ________ + _______ Part C: Write the equation that would give the length of GI . Geometry 1: Intro to Geometry Review (May 30, 2013) PUHSD Geometry Curriculum Team 22. The following coordinate plane is on a 1-mile grid. Point C is Charles’ house, point B is Bill’s house and Point A is their work. When Charles drives to work it is not out of his way to pick up Bryan and the entire drive is 10 miles. He is considering buying a helicopter. If he flies from his house to work, how far will it be? How much further will it be if he stops at Bill’s house in the helicopter? y 5 4 3 2 1 –5 –4 –3 –2 –1 –1 1 2 3 4 5 x –2 –3 –4 –5 Answer: _____________ Geometry 1: Intro to Geometry Review (May 30, 2013) PUHSD Geometry Curriculum Team