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Geometry worksheet to help students learn to identify images and pre-images in geometry transformations of points, lines, planes, and line segments.
Geometry worksheet to help students write coordinates of points and line segments and their images on the coordinate plane and use transformation functions to calculate coordinates to use to plot points in images.
​Assignment 1.14​

Transformational Geometry

 
Objectives
Identify and name the preimage and image in transformations of lines, line segments, and planes.
 
Use a transformation function to find the coordinates of an image of a point, line, or line segment and draw the image.
 
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About Geometry Worksheet Assignment 1.14:

 

Assignment 1.14 is an introduction to certain transformations (slides and turns) of geometric figures.

 

Prerequisite Skills: Name points, lines, line segments, and planes (Assignments 1.1, 1.4, 1.12).  Write coordinates of points on the coordinate plane and plot points on the coordinate plane (Assignment 1.7).  Evaluate functions.

 

Definitions:  A geometric transformation is a function in which the domain contains each point in a geometric figure.  The figure containing the points in the domain is the preimage.  The figure containing the points in the range is the image.

 

In a transformation function (T) for each point in the preimage (x1, y1), there is exactly one point in the image (x2, y2) such that T (x1, y1) = (x2, y2)

 

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