Transformation Geometry Project with Answer Key

Give grade 8 students a transformation geometry project that moves from practice to problem solving. A Move Rules card on the first page shows each move with a diagram and its coordinate rule: translations by distance and direction, reflections across the x- or y-axis, and rotations of 90° or 180° about the origin. A worked example tracks one vertex of a flag through a three-step path.

Two warm-up pages build fluency. Students find the image of a shape after four different moves, name a move from its coordinates, test whether the order of two moves matters, repair incomplete descriptions and explain the error in Kai's rotation. In the Path Puzzle, they carry shape PQRST through five moves on a −10 to 10 coordinate plane, record every vertex, find a single move that matches two steps, and list the moves that undo the path. The Target Challenge asks for two different paths that land the shape exactly on a dashed target.

• Six student pages: 22 numbered items, five path images to plot and a four-point Quick Self-Check
• Answer key and teacher notes: two pages with every answer, key grids, a teacher checklist and a list of likely mistakes
• Color and grayscale files: print the sheets in whichever style suits your printer