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Question

Question
Which option rotates the square 90 degrees (one quarter turn) clock wise?

Asked By SolarFlare66 at

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Derek

Expert · 2.6k answers · 2k people helped

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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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