What is the image of (-2,2) under the rotation about the origin at an angleO=180°?(2,-2)O (-2,2)O (-2,-2)O (2,2)

Answered: What is the image of (-2,2) under the…

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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3 The point P (5, -1) is rotated 90° clockwise around the origin. What are the coordinates of the resulting point, P'? (-1, -5) (-1, 5) (-5,-1)
Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 6t, y = - 4 + 3t O (x, y) = (0, 4) +1 (6,3) ai + bj = -4j + t (6i + 3j) O (x, y) = (0, 4) + t (6, 3) ai + bj = 4j+ t (6i + 3j) O (x, y) = (0, 6) + (-4, 3) ai + bj = − 4j + t (6i + 3j) O(x, y) =(4,0) + t (3,6) ai + bj = −4i + t (3i + 6j) O (x, y) = (6,3)+1(0, - 4) ai + bj (6i + 3j) +t(-4j) (b)x= 4 + 6t,y=4+9t, z = 87t O (x, y, z) = (-4, 4, − 8) +1(-6, ai + bj + ck = 9,7) ( − 4i + 4j - 8 k) + t ( − 6i - 9j + 7k) O (x, y, z) = (4, ai + bj + ck = 4, 8) + t (6, 9, - 7) (4i − 4j + 8 k) + t (6i + 9j – 7k) O (x, y, z) = (6,9, −7) +1(4, - 4,8) ai + bj + ck = (6i + 9j − 7k) + t(4i - 4j + 8k) O (x, y, z) = (-6, 9, 7) + 1 - 4, 4, 8) ai+bj + ck = ( – 6i – 9j + 7k) + t( − 4i + 4j − 8k) O (x, y, z) = (4, 4, 8) + t (6,9,7) ai + bj + ck = (4i +4j + 8 k) + t (6i + 9j + 7k)
3. Triangle DEF Is reflected over the x-axis and then rotated 90° degrees counterclockwise about the origin. What is the x- coordinate of E"? What is the rule for reflecting over the х-аxis: (х, у) -> y Write your new coordinates here: What is the rule for rotating 90° counterclockwise: (x,y) - Use the coordinates from above, apply the rule, and write your new coordinates here: D
(a)(2,π/4) (b)(2,π/6) (c)(−2,π/4) (d)(−2,π/6)
Q2:- find the polar coordinates for the following points. 1:-(-2,2) 2:- (-1, /3) 3:- (2/3,2) 7:- (2/3,-2) 8:- (0,–2) 4:- (2,2 3) 10:- (-3,3/3) 11:- (1,1) 5:- (3,-3) 6:- (-5,0) 9:- (-8,-8)
Express the given parametric equations of a line using bracket notation and also using i, j, k notation. (a) x = 6t, y = - 4 + 3t O (x, y) = (0, - 4) + t (6,3) ai + bj = −4j + t (6i + 3j) O(x, y) = (0, 4) + t (6, 3) ai + bj = 4j + t (6i + 3j) ○ (x, y) = (0, 6) + t ( − 4, 3) ai + bj - 4j + t (6i + 3j) - (x, y) = (-4, 0) + t (3, 6) ai + bj = − 4i + t (3i + 6j) (x, y) = (6, 3) + t(0, − 4) ai + bj = (6i + 3j) + t ( − 4j)
Write the lagrangian in terms of polar coordinates

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What is the image of (-2,2) under the rotation about the origin at an angle e=180°? O (2,-2) (-2,2) O (-2,-2) O (2,2)