Transformation by Rotation

Your Task

Explore the rotation of triangle ABC to its image A'B'C' about the origin. Use the slider to change the angle of rotation and drag the vertices of ABC. Your goal is to discover how rotation transforms the triangle and derive the coordinate rules.

Drag a vertex of ABC. What happens to A'B'C'? What measurements (side lengths, angles) remain unchanged?

Set the rotation angle to 90°. How are the positions of ABC and A'B'C' related? What about at 180° and 270°?

For a vertex A and its image A', what is the relationship between their distances from the origin? What about the angle formed by A, the origin, and A'?

With a 90° rotation, if point A is at (x, y), what are the coordinates of A'? Derive similar rules for 180° and 270°.

How would rotating by -90° compare to rotating by 270°? What happens after a full 360°rotation?

In your own words, describe what information is needed to completely define a rotation.

Transformation by Rotation

Your Task

Nouvelles ressources

Découvrir des ressources

Découvrir des Thèmes