Describe the sequence of basic rigid motions that shows S 1 ≅ S 3īasic properties of all three basic rigid motionsĪ basic rigid motion maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.Ī basic rigid motion preserves lengths of segments.Ī basic rigid motion preserves degrees of angles. Describe the sequence of basic rigid motions that shows S 2 ≅ S 3Ĭ. Describe the sequence of basic rigid motions that shows S 1 ≅ S 2ī. Common Core Standards Core Standards G.CO.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper, tracing paper, or geometry software.

It is also referred to as RIGID TRANSFORMATION. Describe a sequence of rigid motions that will map a point, line segment, or angle onto another figure. It does not matter whether S comes first or S' does.Ī. Rigid motion in geometry occurs when a point or object is moved, but the size and shape remain the same. In summary, if a figure S is congruent S' then S' is also congruent to S. Students know the basic properties of congruence are similar to the properties for all three rigid motions (translations, rotations, and reflections).Ĭongruence - the sequence of basic rigid motions that maps one figure onto another.Ī sequence to show congruence can be any combination of translation, rotation and reflection.Students know that to prove two figures are congruent there must be a sequence of rigid motions that maps one figure onto the other. Students know the definition of congruence and related notation, i.e., ≅. Similarity transformations (rigid motions followed by dilations) define similarity in the same way that rigid motions define congruence, thereby formalizing the.Worksheets and solutions for Common Core Grade 8, Module 2, Lesson 11 New York State Common Core Math Grade 8, Module 2, Lesson 11 Examples, solutions, worksheets, videos, and lessons to help Grade 8 students know the definition of congruence and the properties for all three rigid motions (translations, rotations, and reflections).

Rigid motion geometry definition