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21. The image of the point (3, 4) rotated on a clockwise direction about the origin is (3√3-4, 4√3+3). What is the angle of rotation? 2 2 a. 180° b. 60° c. 45° d. 90° e. None of the above

21. The image of the point (3, 4) rotated on a clockwise direction about the origin is (3√3-4, 4√3+3). What is the angle of rotation? 2 2 a. 180° b. 60° c. 45° d. 90° e. None of the above

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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21. The image of the point (3, 4) rotated on a clockwise direction about the origin is (3√3-4, 4√3+3). What is the angle of rotation? 2 2 a. 180° b. 60° c. 45° d. 90⁰ e. None of the above 25. Which of the following does not follow to the definition of betweenness? a. If ABC then CBA b. AB + BA = 0 c. If ABC then not CAB d. If ABC then AC = AB + BC e. None of the above 24. If the image of (2,6) after an anticlockwise rotation of a certain angle about the origin is (x, 1). What is the value of x? a. √39 b. √41 c. -√39 d. -√41 e. None of the above 2 23. The image of the equation y = 3x - 2 under the translation (²₂) followed by a reflection to the line x = 1 is? a. 3x +y+4=0 b. y = 3x c. 3x + y - 4= 0 d. y = -3x e. None of the above 22. If (ABCD) = 1, which of the following is false? a. DADB = DCDO provided that AO = OB b. The pencil of (ABCD) is harmonic c. CABD = DACB d. OB² = OCOD provided that AO = OB e. None of the above
Transcribed Image Text:21. The image of the point (3, 4) rotated on a clockwise direction about the origin is (3√3-4, 4√3+3). What is the angle of rotation? 2 2 a. 180° b. 60° c. 45° d. 90⁰ e. None of the above 25. Which of the following does not follow to the definition of betweenness? a. If ABC then CBA b. AB + BA = 0 c. If ABC then not CAB d. If ABC then AC = AB + BC e. None of the above 24. If the image of (2,6) after an anticlockwise rotation of a certain angle about the origin is (x, 1). What is the value of x? a. √39 b. √41 c. -√39 d. -√41 e. None of the above 2 23. The image of the equation y = 3x - 2 under the translation (²₂) followed by a reflection to the line x = 1 is? a. 3x +y+4=0 b. y = 3x c. 3x + y - 4= 0 d. y = -3x e. None of the above 22. If (ABCD) = 1, which of the following is false? a. DADB = DCDO provided that AO = OB b. The pencil of (ABCD) is harmonic c. CABD = DACB d. OB² = OCOD provided that AO = OB e. None of the above
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