Geometry 2-4: Transformations in the Plane
Learning Objectives
1) Identify the types of transformations.
2) Calculate the coordinates of the vertices of an image after a transformation.
Vocab Review
Transformation: A rule that changes a figure's position.
Translation: Move's every point by a vector (Slide).
Reflection: Reflects every point over a line (Flip).
Rotation: Rotates ever point by a certain degree around a point of rotation (Turn).
Figure: The object (point, line, polygon, etc.) you are transforming.
Pre-Image: The original figure.
Image: The transformed figure.
Identify Transformations
What type of transformation is shown above?
Identify Transformations
What type of transformation is shown above?
Identify Transformations
What type of transformation is shown above?
Identify Transformations
What type of transformation is shown above?
Complete 2 transformations
Complete 3 problems describing transformations
Apply the transformation in the question below.
Next, try using creating a translation that shifts the figure down 4 and right 2. What are the coordinates of your new points? Use W' X' Y' and Z' to label your new points.
Challenge!
Now, try creating a reflection over the line y=x. What are the coordinates of the image's vertices? Use S' R' and T' to label your coordinates.
Create Your Own Transformation
Create a transformation. It must be a shape with at least three vertices. Below, put the type of transformation, the preimage (A, B, C) and the image (A',B',C').