Question
Asked By SolarFlare66 at
Answered By Expert
Derek
Expert · 2.6k answers · 2k people helped
To determine which option rotates a square 90 degrees clockwise, we need to understand the transformation of the square’s vertices. Let’s assume the square is initially positioned with its vertices at (0,0), (1,0), (1,1), and (0,1).
Solution By Steps
Step 1: Identify Initial Coordinates
The initial coordinates of the square are:
(0,0)
(1,0)
(1,1)
(0,1)
Step 2: Apply 90-Degree Clockwise Rotation
To rotate these points 90 degrees clockwise, we use the transformation:
(x, y) → (y, -x)
Applying this transformation to each vertex:
(0,0) → (0,0)
(1,0) → (0,-1)
(1,1) → (1,-1)
(0,1) → (1,0)
Step 3: Verify the New Position
The new coordinates after rotation are:
(0,0)
(0,-1)
(1,-1)
(1,0)
These coordinates represent the square rotated 90 degrees clockwise.
Final Answer
The option that correctly rotates the square 90 degrees clockwise is the one that places the vertices at (0,0), (0,-1), (1,-1), and (1,0).
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