Rigid Transformations

Cluster: Understand Congruence and Similarity Using Physical Models, Transparencies, or Geometry Software.

Task Overview: Students will discover the rules to Translations and Reflections. They will use these rules to prove whey they are rigid transformations. Knowing the conceptual understanding of the rules, students will be able to accurately predict points given the rigid transformation. For rotations, teachers will share visually how they work and then equip students with a useful mnemonic device to help them identify the location of the rotations.

8.G.A.1 Verify experimentally the properties of rotations, reflections, and translations:

The focus on this standard is the conceptual development of the idea of congruent figures. Congruent figures have the same shape and size. Two figures in the plane are said to be congruent if there is a sequence of rigid motions that takes one figure onto the other.

Objectives

Students should be able identify the three rigid transformations and their properties
Students should be able to identify the coordinates of the given rigid transformations without graphing.

Additional/Prerequisite Skills:

• Draw, Construct, And Describe Geometrical Figures And Describe The Relationships Between Them. (7.G.A.2)
• Solve Real-Life And Mathematical Problems Involving Angle Measure, Area, Surface Area, And Volume. (7.G.B.5)
• Graphing points on the coordinate plane.