Math Problem Statement

Point [R] was rotated about the origin [(0,0)] by [90^\circ] clockwise.

[\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{6}] [\small{7}] [\small{\llap{-}2}] [\small{\llap{-}3}] [\small{\llap{-}4}] [\small{\llap{-}5}] [\small{\llap{-}6}] [\small{\llap{-}7}] [\small{1}] [\small{2}] [\small{3}] [\small{4}] [\small{5}] [\small{6}] [\small{7}] [\small{\llap{-}2}] [\small{\llap{-}3}] [\small{\llap{-}4}] [\small{\llap{-}5}] [\small{\llap{-}6}] [\small{\llap{-}7}] [y] [x] [R] [A] [B] [C] [D] Which figure is the image of [R]? Choose 1 answer: Choose 1 answer: (Choice A) [A] A [A] (Choice B) [B] B [B] (Choice C) [C] C [C] (Choice D) [D] D [D]

Solution

To determine the image of point RR after a 9090^\circ clockwise rotation about the origin, we need to apply the transformation rule for rotations.

For a point (x,y)(x, y), after a 9090^\circ clockwise rotation about the origin, the new coordinates (x,y)(x', y') will be:

(x,y)=(y,x)(x', y') = (y, -x)

Steps:

  1. Identify the coordinates of point RR from the diagram or description (though it seems the specific coordinates of RR are not visible in the provided input).
  2. Apply the formula (x,y)=(y,x)(x', y') = (y, -x).
  3. Check which of the answer choices A,B,C,DA, B, C, D corresponds to the result.

Would you like to upload the image or clarify the coordinates of point RR? I can then provide a more precise answer.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Rotation Transformations

Formulas

For a point (x, y), after a 90° clockwise rotation about the origin: (x', y') = (y, -x)

Theorems

Rotation of points in coordinate geometry

Suitable Grade Level

Grades 7-9