Transformations. Veronica Nicholson. Texas Essential Knowledge and Skills. § 111.28. Grade 8 ( 10) Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:
§111.28. Grade 8
(10) Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to:
(A) generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane;
Moving a shape to a different position, but maintaining the same size, area, angles and line lengths.
Translation is a transformation that "slides" an object in a fixed distance and in a given direction. The original object and its translation have the same shape and size, and they face in the same direction.
A transformation where each point in a shape appears at an equal distance on the opposite side of a given line - the line of reflection.
A rotation is a transformation that turns a figure about a given point.