Question 11Triangle ABC has coordinates A(2, 0), B(-1, 5), and C(4, 3). Determine the coordinates of the vertices of the image after a translation alongthe vector (0, 2)O A) A'(2, 0), B'(-1,-5), and C'(4,-3)O B) A(-2, 0), B'(1, 5), and C(-4, 3)O ) A'(2. 2). B(-1, 7), and C(4, 5)O D)A(5,-4), B(2, 1), and C(7,-1)Next QuestionCheck AnswerDone and Review2021 MG H ation All Rgns ReservedPrivecy and CoesTem of Ue Mmu Req n P S01Sign outDI%23%249%6&23.4.58ertudg.CValtctrl

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Answered: Question 11 Triangle ABC has…

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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2. In a dance performance, four dancers form a diamond with vertices A(2, 0), B(0, 2), C(-2, 0), and D(0, – 2). Then, they move along the dance floor following the translation vector, (0, 4). There they pause, and then move again along the same vector. What are their coordinates after six such translations? а. А(26, 24), В'(24, 6), С'(22, 24), аnd D'(24, 22) b. A'(2, 10), B'(0, 12), C'(-2, 10), and D'(0, 8) c. A'(2, 24), B'(0, 26), C'(-2, 24), and D'(0, 22) d. A(26, 0), B' (24, 2), С'(2, 0), and D'(24, - 2) Name: ID: A
2. Origin is shifted to (4,-5) by translation of axes, find the coordinates of the following points with respect to the new axes: a) (0,4) b. (-5, 8) c. (4, -5)
2. In a dance performance, four dancers form a diamond with vertices A(2, 0), B(0, 2), C(-2, 0), and D(0, – 2). Then, they move along the dance floor following the translation vector, (0, 4). There they pause, and then move again along the same vector. What are their coordinates after six such translations? а. 4(26, 24), В'(24, 6), С'(22, 24), аnd D'(24, 22) b. А(2, 10), B' (0, 12), С'(-2, 10), and D' (0, 8) c. A'(2, 24), B' (0, 26), C'(-2, 24), and D'(0, 22) d. A'(26, 0), B'(24, 2), C'(22, 0), and D'(24, --2)
3. Triangle with vertices P(- 13, - 3) , Q(- 7, 3) , and R(-6,-2; 270 degrees counterclockwise rotation about C(- 5, - 4)
Vector u is represented by the directed line segment RS and vector v is represented by the directed line segment OP. If R = (8,-2), S=(11,-6), 0= (-3,-9), and P= (0,-13), are and v equal? Explain how you reached your answer.
Rectangle wxyz with vertices W(-3 -4), X(0, -5), Y(-2, -11), and Z(-5, 10; 180° rotation about N(2, -3)

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