Hello can you help me with this problem? Which of the following show the correct angle and direction of rotation for the figure below? ### Rotation of Figures in a Coordinate Plane#### Question 1:Which of the following show the correct angle and direction of rotation for the figure below?#### Image Description:A coordinate plane featuring a triangle with its vertices labeled as $ Q $, $ R $, and $ S $. The figure is rotated around the origin. The rotated figure has its vertices labeled as $ Q' $, $ R' $, and $ S' $.#### Answer Choices:- $ \circ $ 270° clockwise- $ \circ $ 90° clockwise- $ \circ $ 180° clockwise- $ \circ $ 90° counterclockwise### Explanation:The coordinate plane shows two triangles:1. The original triangle $ QRS $ positioned in the first quadrant.2. The rotated triangle $ Q'R'S' $ positioned in the fourth quadrant.#### Analysis of Rotation:- The rotation appears to be around the origin (0,0).- When rotating a figure: - 90° clockwise rotation moves a point (x, y) to (y, -x). - 180° clockwise rotation moves a point (x, y) to (-x, -y). - 270° clockwise rotation (equivalent to 90° counterclockwise) moves a point (x, y) to (-y, x).By examining the positions:- $ Q(x1, y1) $ has moved to $ Q’(y1, -x1) $ indicating a 90° clockwise rotation. Hence, the correct answer is:- $ \circ $ 90° clockwise

Answered: 1. Which of the following show the…

1. Which of the following show the correct angle and direction of rotation for the figure below? 270° clockwise 90° clockwise 180°clockwise 90° counterclockwise R Q 'S' R $

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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