📝 Practice Worksheets
Rotate 180° Around Origin Rotate 90° Around Origin 90° and 180° Rotations Rotation Around Origin Rotation Practice
🛠️ Related Tool
Rotation Explorer🔑 Key Concepts
- A \(90^\circ\) clockwise rotation around the origin uses \((x,y)\rightarrow(y,-x)\).
- A \(90^\circ\) counterclockwise rotation around the origin uses \((x,y)\rightarrow(-y,x)\).
- The coordinates swap positions during a \(90^\circ\) rotation.
- The signs depend on the quadrant where the rotated point lands.
- Rotations preserve size and shape, so the image is congruent to the preimage.
✏️ Worked Examples
🧠 Math Vocabulary
- Rotation: A transformation that turns a figure around a fixed point.
- Origin: The point \((0,0)\) on the coordinate plane.
- Clockwise: A rotation in the same direction as the hands of a clock.
- Counterclockwise: A rotation in the opposite direction of the hands of a clock.
- Image: The new figure after a transformation.
- Preimage: The original figure before a transformation.
💡 Main Idea
A \(90^\circ\) rotation around the origin swaps the \(x\)- and \(y\)-coordinates. The direction of the rotation determines which coordinate becomes negative.
📚 What You Should Already Know
Students should know how to plot ordered pairs, identify quadrants, use positive and negative coordinates, and recognize congruent figures on the coordinate plane.
🚀 What Comes Next
Students can extend this skill to \(180^\circ\) rotations, rotations around points other than the origin, and sequences of transformations.
🧩 Embed This Video in Your LMS
Teachers can embed this YouTube video directly into Canvas, Google Classroom, Schoology, or another learning platform. Click below to show the embed code.