Rotation 90 degrees counterclockwise
To rotate a figure 90 degrees counterclockwise, we can follow these steps:
Step 1: Plot the original figure on a coordinate plane
To rotate a figure 90 degrees counterclockwise, we can follow these steps:
Step 1: Plot the original figure on a coordinate plane. Let’s assume the figure is a triangle with vertices A, B, and C.
Step 2: Identify the coordinates of each vertex. Suppose A is located at (x1, y1), B at (x2, y2), and C at (x3, y3).
Step 3: To rotate the figure counterclockwise by 90 degrees, we’ll use the rotation matrix:
[0 -1]
[1 0]
Step 4: Apply the matrix multiplication to each coordinate:
For vertex A: [x’1, y’1] = [x1, y1] * [0 -1] = [y1, -x1]
For vertex B: [x’2, y’2] = [x2, y2] * [0 -1] = [y2, -x2]
For vertex C: [x’3, y’3] = [x3, y3] * [0 -1] = [y3, -x3]
Step 5: Plot the new vertices A’, B’, and C’ on the coordinate plane using their new coordinates.
Step 6: Connect the new vertices A’, B’, and C’ to form the rotated figure.
The resulting figure will be the original figure rotated counterclockwise by 90 degrees.
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