In Grade 8 math (enVision, Chapter 6), students learn how to compose transformations by applying a sequence of two or more transformations — such as translations, reflections, and rotations — to map a preimage onto an image on a coordinate plane. The lesson introduces concepts like glide reflection and double prime notation, guiding students through step-by-step procedures to describe and perform combined transformations. Students also practice identifying multiple valid sequences of transformations that produce the same result.
Section 1
Composition of Reflections
A composition of reflections is a transformation where a figure is reflected across a line, and then its image is reflected across a second line. The notation for a composition is , which means a reflection of point across line followed by a reflection across line .
Section 2
Sequences of Transformations
A sequence of transformations, or a composition, maps a preimage figure to a final image figure . This can be represented as , where transformation is applied first, followed by . For any given preimage and image, there can be multiple different sequences of transformations that produce the same result.
Expand to review the lesson summary and core properties.
Section 1
Composition of Reflections
A composition of reflections is a transformation where a figure is reflected across a line, and then its image is reflected across a second line. The notation for a composition is , which means a reflection of point across line followed by a reflection across line .
Section 2
Sequences of Transformations
A sequence of transformations, or a composition, maps a preimage figure to a final image figure . This can be represented as , where transformation is applied first, followed by . For any given preimage and image, there can be multiple different sequences of transformations that produce the same result.