90 Degree Counterclockwise Rotation

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2017-04-05 22:23

In collections Rotations

This example demonstrates how to perform a 90 degree counterclockwise rotation using GeoGebra. Key mathematical concepts include rotation transformations and vectors. Using commands such as Rotate, Segment, Midpoint, CircleArc, Point, and Vector, the construction of the rotated figure is illustrated. Suitable for students at the junior high school level and above for learning geometric transformations.

GeoGebra Commands & Parameters

Textfield(A) → InputBox1
Rotate(A, 90°, O) → A'
Segment(O, A) → f
Segment(O, A') → g
Midpoint(f) → B
Midpoint(g) → C
CircleArc(O, B, C) → c
Point(c) → D
Vector(D, C) → u

AI Drawing Prompt Reference

Draw a point A, rotate it 90 degrees counterclockwise around the origin O to get point A', draw a line segment f from O to A, draw a line segment g from O to A', find the midpoints B and C of segments f and g respectively, draw an arc c using O, B, and C as points, pick any point D on arc c, and draw a vector u from D to C.

The prompt above was compiled from the original drawing commands and is for reference only.