Turning Shapes: Exploring Rotations on the Coordinate Plane

Help students see geometry in motion! In this interactive worksheet, learners explore how rotating a figure about the origin changes its orientation but not its size or shape. Step by step, they apply the rules for 90°, 180°, and 270° rotations, record new coordinates, and visualize that all rotations preserve congruence.

💡 Students will learn to:

• Apply rotation rules on the coordinate plane:
• 90° → (x, y) → (y, –x)
• 180° → (x, y) → (–x, –y)
• 270° → (x, y) → (–y, x)
• Plot new coordinates after each rotation.
• Observe how figures turn around the origin without changing shape or size.
• Compare all three rotations to understand orientation and congruence.

🧭 Worksheet features:

• Three rotation challenges (90°, 180°, 270°) with coordinate tables.
• Clean, grid-based visuals for easy plotting.
• Step-by-step guided rules for each rotation.
• Reflection questions to reinforce geometric reasoning.
• Supports randomization, so each student receives a unique figure and coordinates.

Perfect for 8th-grade geometry and aligned with CCSS 8.G.A.1 – Understanding Congruence through Transformations.