Analyze original 2-D shapes and 3-D objects and their images to identify and justify the single transformation that was performed.

Draw the image of 2-D shapes given:

• a single transformation including a translation, rotation, reflection, and justify why it is a translation, rotation, or reflection.
• a combination of successive transformations and explain the reasoning.

Create designs using translations, rotations, and reflections in all four quadrants of a coordinate grid.

Analyze and describe designs that involve translations, rotations, and reflections in all four quadrants of a coordinate grid, and explain the reasoning.

Research and present, orally, in writing, or using multimedia, applications of transformations using examples and illustrations in construction, industrial, commercial, domestic, and artistic contexts.

Analyze and generalize the relationship between reflections and lines or planes of symmetry.

Explain how and why the concept of similarity can be used to determine if an image is a dilation of a given shape, and provide examples.

Determine whether or not given images are dilations of given shapes and explain the reasoning.

Draw, with or without technology, a dilation image for a given 2-D shape and 3-D object, and explain how the original 2-D shape or 3-D object and its image are proportional.

Solve contextual problems that involve transformations and explain the reasoning.