1. 7.1 Rigid Motion in a Plane OBJECTIVES:
To identify the three basic rigid transformations
To identify isometries
BIG IDEAS: Transformations and Coordinate Geometry
ESSENTIAL UNDERSTANDINGS:
The location and orientation of a geometric figure can be changed while preserving distance and angle measure
MATHEMATICAL PRACTICE:
Look for and make use of structure

2. Transformations
TRANSFORMATION: the movement of a geometric figure in some way on the coordinate plane
PREIMAGE: the __________________ figure in the transformation of a figure in a plane
IMAGE: the __________________ figure that results from the transformation of a figure in a plane
ISOMETRY: a transformation in which its preimage and image are __________________
RIGID MOTION: a transformation that preserves ___________________ and ___________________ , it does not change the __________________ or __________________ of the figure

3. Three different kinds of transformations
REFLECTION: a __________________ that makes a mirror image of itself over a line of symmetry
ROTATION: a ___________________ in either a clockwise or counterclockwise direction a certain number of degrees about a given point
TRANSLATION: a __________________ that moves the figure left, right, up or down for any distance

4. Example 1

5. Example 2

6. Example 3.

7. Example 4.

8. Example 5.

9. Example 6.

10. Example 7.

11. Example 8

12. 9.

13. Mappings
MAPPINGS: describe the transformation in the diagram by writing “ “ or you can use
The order in which the vertices are listed specifies the correspondence.

14. EX 9: Use the diagrams to complete the statementB) D)

15. GEOM IXL L9
Mastery on L9