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Geometry 1:Intro to Geometry UNIT REVIEW Name ______________________________________ Period _______________ Date _________________ G-CO.1:I can define and identify basic geometric terms. 1. Use the figure below. Assume that lines that look parallel are parallel. 3. In the figure MO bisects LMN , mLMO (9 x 14) , and mNMO ( x 74) . Solve for x and find mLMN a) Name a pair of parallel lines b) Name a pair of perpendicular lines x = __________________ mLMN = ________________ 2. Use the diagram below to answer the following questions. 4. If x > 100, then what are the possible values of y? Explain. B C x° A y° D O ____________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ ___________________________________________ E 2a) Name a linear pair 5. Given the following, find the length of BC. AB = 6 BD = 15 2b) Name two complementary angles 2c) Name a pair of adjacent angles BC = ________ Geometry: Intro to Geometry Review (May 30, 2014) PUHSD Curriculum Team 6. Using the diagram below, find x and show each step. You may not use every box. 8. Part A: Draw a diagram that satisfies these three conditions: EF bisects acute BER (4x)° x° 20° Solution Steps Part B: If 𝑚∠𝑅𝐸𝐹 = 30°, find 𝑚∠𝐵𝐸𝐹, 𝑎𝑛𝑑 𝑚∠𝐵𝐸𝑅 . Explain how you found your answers. _________________________________ __________________________________ __________________________________ __________________________________ G-CO.12 I can make the following constructions: copy a segment, copy an angle, perpendicular bisector, angle bisector 9. Construct the perpendicular bisector of RP 7. Circle all of the following statements that are definitely true about the diagram below. (There may be more than one answer.) R AEB DEC AEC is adjacent to BED AEB and BEC are complementary AEB and BEC are supplementary (e) EC bisects BED (a) (b) (c) (d) Geometry 1: Intro to Geometry Review P (May 29, 2014) PUHSD Geometry Curriculum Team 10. Draw acute ABC and then construct its bisector. Label all your points. G-GPE.4Use coordinates to prove simple geometric theorems algebraically. 13. Given the following coordinates A (-1,6) and B (3,-2). Draw segment AB and plot the midpoint C of AB. Prove that C is the midpoint of AB by showing your calculations. y 10 11. Construct an angle that is congruent to the angle below. –10 10 x –10 G-CO.9 I can prove theorems about lines and angles. 12. Which lines, if any, must be parallel based on the given diagram and information. Explain. Given: 13 12 a 1 2 G-GPE.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems. 9 10 3 4 18. Given the equation 6y - 2x = 18, what would the slope of the line be that is: 11 12 a) Perpendicular b 5 6 7 8 c 13 14 15 16 b) Parallel d _____________________________________________ _____________________________________________ _____________________________________________ _____________________________________________ Geometry 1: Intro to Geometry Review (May 29, 2014) PUHSD Geometry Curriculum Team